Electrical characterization of La-silicate gate dielectrics for SiC … · 2015-02-23 ·...
Transcript of Electrical characterization of La-silicate gate dielectrics for SiC … · 2015-02-23 ·...
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February, 2015 Abstract of Master Thesis
Electrical characterization of La-silicate gate dielectrics for
SiC power devices
Supervisor: Prof. Hiroshi Iwai
Tokyo Institute of Technology
Department of Electronics and Applied Physics
13M36360 Shu Munekiyo
Silicon carbide (SiC) has attracted attention as a power device material of
next generation because it has excellent physical properties such as high
breakdown field and high thermal conductivity. In addition, SiC also has an
ability that can be formed SiO2 by thermal oxidation. However, the
characteristics of 4H-SiC MOSFET using thermal oxidation SiO2 as the gate
dielectric exhibits a low inversion layer channel mobility due to large
interface state density. The possible origins of the poor MOS interface
characteristics would be the carbon related defects in near-interface region
of oxides and those on SiC surface caused by the biproducts of thermal
oxidation. Recent study on La-silicate interface layers for SiC substrates has
shown improvements in interface states and reduction in electron trapping.
Besides these improvements, the basic physical reasons have not been
clarified yet. Therefore, a systematic study to elucidate the effect of La atoms
need to be clarified. For this purpose, we conducted La2O3 capped oxidation
and SiO2 capped oxidation to form La-silicate interface layers and compared
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the electrical characteristics of MOS capacitors.
In the case of using La2O3 capped oxidation, electrical characteristics of
SiC-MOS capacitor with La2O3 interface layer investigated. It is revealed
that La2O3 insertion between SiO2/4H-nSiC have shown improved interface
properties. In addition, further Dit and hysteresis reduction by post-oxidation-
anneal was obtained.
In the case of using SiO2 capped oxidation, electrical characteristics of SiC-
MOS capacitor investigated. First, increasing insertion La2O3 layer at oxide
/semiconductor interface is effective improved electrical characteristics. In
addition, uniform La-silicate layer is formed by carrying out SiO2 capped
anneal, and La atom is presented at oxide /semiconductor interface. These
La atom at the interface is effective relaxed the SiO4 network, it obtained
more reduced Dit and hysteresis.
With the SiN layer at the interface, it is considered La atom is not arrived
oxide/semiconductor interface by inserting SiN layer. In addition, nitrogen
was not present at oxide/semiconductor interface from EELS result.
Therefore, effect of interface nitridation was not expected by inserting SiN
layer. These results, it is necessary to choice La2O3 as inserting interfacial
layer.
In conclusion, this study gives us the instruction of understandings
electrical characteristics of improvements in lanthanum silicate gate
dielectrics on silicon carbide substrate.
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Contents
Chapter 1. Introduction
1.1 Introduction of Silicon carbide material as power devices.................7
1.2 Gate dielectrics of SiC and MOS interface technology…………….9
1.3 Purpose of this study.......................................................................11
References.............................................................................................. 13
Chapter 2. Fabrication and Characterization
2.1 Fabrication procedure.....................................................................15
2.2 Experimental principle
2.2.1 SPM cleaning and HF treatment................................................17
2.2.2 RE-oxides deposition by MBE...................................................17
2.2.3 PDA in 5%O2 / 95%N2 ambient...................................................18
2.2.4 RF magnetron sputtering............................................................19
2.2.5 Patterning of resist by photo lithography……………………20
2.2.6 Dry etching by RIE.....................................................................20
2.2.7 PMA in F.G. ambient..................................................................22
2.2.8 Deposition of Al by vacuum evaporation ...................................22
References……………………………………………………………..23
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Chapter 3. Process dependent interface properties of
SiC-MOS capacitor with insertion La2O3
3.1 Introduction……………………………………………………..25
3.2 Impact of annealing temperature to capacitance-voltage
characteristics…………………………………………………………27
3.3 Thickness dependence of insertion La2O3 layer on capacitance-
voltage characteristics……......…....…………...………………………..29
3.4 Impact of Post Oxidation Anneal on capacitance-voltage
characteristics………………………………………………….……..33
3.5 TEM image of La2O3 capped oxidation…………………………..36
3.6 Conclusion………………………………………………………..37
References……………………………………………………………..37
Chapter 4. Improvement interface properties of SiO2
capped oxidation
4.1 Introduction……………………………………………………..39
4.2 Thickness dependence of insertion La2O3 layer on capacitance-
voltage characteris tics…………………..……………………40
4.3 TEM image of La2O3 capped oxidation………….………..…43
4.4 Conclusion………………………………………………………..45
References……………………………………………………………..45
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Chapter 5. Effect of SiN interfacial layer on electrical
characteristics
5.1 Introduction………………………………………………………47
5.2 Thickness dependence of insertion SiN layer on capacitance-voltage
characteristics………………………………………….………………48
5.3 Thickness dependence of insertion SiN layer on capacitance-voltage
characteristics using SiO2 capped anneal…………………………….50
5.4 TEM image and analysis of nitrogen in interface by EELS………..52
5.4 Conclusion………………………………………………………..53
References……………………………………………………………..53
Chapter 6. Conclusions............................................................54
Acknowledgements......................................................... ..... ..........57
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Chapter 1
Introduction
1.1 Introduction of Silicon carbide material as power devices
1.2 Reports of La-silicate as gate dielectrics
1.3 Purpose of this study
References
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1.1 Introduction of Silicon carbide material as power devices
When using electrical energy, between consumption and power generation,
such as AC-DC converter, for converting the voltage or frequency, and in the
terminal, electrical and electronic equipment, consumer electronics, a
number of semiconductor in utilization side of the railway power devices are
being used. If low loss and high performance of these semiconductor power
devices is achieved, energy loss during using power can be significant
savings, such as contributing to the reduction of environmental load, is
extremely large the pervasive effect. Now, semiconductor power devices is
fabricated almost Silicon semiconductors, these performance has been
achieved by making full use of microfabrication technology. However, since
approaching the performance limits due to physical properties of Si, it is
considered future breakthroughs are not expected, expectations for a next-
generation power semiconductor Silicon carbide (SiC) is large.
SiC is a IV-IV compound semiconductor having a Si:50% and C:50%
science stoichiometric ratio, is a covalent bond crystal having 11% ionic. Fig.
1.1 shows comparison of physical properties of 4H-SiC and other materials.
Si-C atomic distance in the SiC crystal is short at 0.189nm, binding energy
is strong about 4.5eV. Strong binding energy of SiC add high phonon energy,
it giving a high thermal conductivity. On the other hand, when viewed as a
semiconductor, strong binding energy has given wide bandgap and high
breakdown field. In addition, SiC has high optical phonon energy, saturated
drift velocity of carrier is high. Wide bandgap and superior thermal stability
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show SiC is suitable for the fabrication of high-temperature operation device.
Table. 1.1 Comparison of physical properties of 4H-SiC and other materials
More than 200 of the SiC polytype has been confirmed, high occurrence
probability, semiconductor applications important thing are 3C-, 4H-, 6H-
and 15R-SiC. Among these polytypes, 4H-SiC are thought to be suitable for
the most device applications. The reason for mobility, band gap and
dielectric breakdown electric field is large, anisotropy of electrical
conductivity is small, donor or acceptor level are relatively shallow, good
quality single crystal wafer is available, on the such that it can form a high-
quality epitaxial growth layer. Notable characteristic in 4H-SiC, the
breakdown field is about 10 times as high as the Si or GaAs, saturated drift
velocity of electron is about 2 times, thermal conductivity is about 10 times
as high as the Si.
In any case, currently, Si power device performance are approaching the
theoretical limit determined by the material properties, breakthrough in the
GaN 4H-SiC GaAs Si
Band gap(eV) 3.45 3.2 1.43 1.1
Mobility(electron/hole) (cm2/Vs) 1250/850 1000/50 8500/400 1500/600
Dielectric breakdown (MV/cm) 3.3 2.5 0.4 0.3
Thermal conductivity (W/cm・K) 1.3 4.9 0.45 1.5
Saturation velocity (cm/s) 2.7 107 2.2 107 1.0 107 1.0 107
Dielectric constant 9.0 9.7 12.9 11.8
BM (vs Si) 910 290 28 1
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field of power devices has been strongly demanded. In that regard, the impact
of SiC power devices such as described above has attracted attention enough
to various institutions estimate the energy-saving effect.
1.2 Gate dielectrics of SiC and MOS interface technology
In SiC, it is possible to prepare a MOS (Metal-Oxide-Semiconductor) device
of SiO2 which is formed on the substrate as a gate insulating film. SiC is a
unique feature that can be formed of SiO2 is a good insulating film by thermal
oxidation like Si. However, carbon in the SiC remains in the oxide film and
the oxide/SiC interface, various institutions have also been research of
deposited film in order to avoid the problem. The case of thermal oxidation,
the SiC after washing is placed in a thermal oxidation furnace to oxidize the
SiC surface by flowing oxygen and water vapor in the high temperature. N2O
gas is also flowed to improvement of interface property. SiC is known to be
significantly different oxidation rate depending on the plane direction [1.1].
(0001) Si-face is the slowest oxidation rate, (112̅0) a-face is faster than 3-5
times. (0001̅) C-face is the most oxidation rate which is about 10 times faster
than (0001) Si-face. Although oxidation rate is often used more than 1100
degree C, the temperature dependence of the interfacial properties are
different depending on the plane direction. Often used is LPCVD (Low-
pressure Chemical Vapor Deposition) method and PECVD (Prasma-enhaned
Chemical Vapor Deposition) method for the formation of the deposited film.
Because it is formed at a relatively low temperature compared to thermal
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oxidation, in order to improve the insulating properties, interface nitridation
Fig 1.2 dielectric constant and bandgap of RE-oxides [1.4].
by NO or N2O gas is often performed after the oxide film
formation.[1.2][1.3]
Thermal oxynitridation treatment under NO or N2O ambient are effective
reduce interface state density and improving the channel mobility. The
oxynitride film formed in this way, removal of terminated or carbon
compounds and the dangling bonds is facilitated by the nitrogen introduced
into MOS interface, MOS interface characteristics are improved such as
reduce the interface state and negative charge than the dry oxidation film.
Moreover, as the cause of improving the channel mobility, the effect of N
doping of the channel has also been suggested.
As SiC MOS device gate insulating film, has excellent electrical properties
0 10 20 30 40 50 60
2
3
4
5
6
7
8
9
10B
an
d G
ap
[e
V]
dielectric constant,
0 10 20 30 40 50 60
2
3
4
5
6
7
8
9
10B
an
d G
ap
[e
V]
dielectric constant,
La2O3
J. Robertson, Solid-State Electronics 49 (2005) 283–293
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high-k dielectrics have been attempted to be deposited on the SiC substrate.
By depositing high-k dielectrics on the SiC substrate by using the CVD
method or a sputtering method, it is considered to be possible to reduce the
characteristic deterioration of the MOS interface induced carbon impurity.
As the gate dielectric, a material having a wide band gap and high dielectric
constant is desirable. However, the dielectric constant and the band gap has
a trade-off relationship, such a TiO2 with dielectric constant about 80 can not
be obtained the band offset in SiC. In the SiC device, it has a feature which
contact formation and activation annealing temperature after ion
implantation is high. Thus, although it depends on the manufacturing process
of the SiC devices, high-k is required excellent durability.
Future, searching and of the high-k materials suitable for SiC semiconductor,
direct deposition method that does not induce surface defects and
developments of improving technology of interface electrical properties is
expected.
1.3 Purpose of this study
As described above, oxide/semiconductor interface properties is improved
by interface nitridation and using high-k dielectrics. Among them, I have
noted that using La2O3 dielectric one of the high-k material as
oxide/semiconductor interface layer. La2O3 reacts with Si substrates to form
LaSixOy (La-silicates), it shows good interface property and electrical
characteristics. Recently, it is reported La-silicate interface layer has shown
to reduce the Dit and high mobility over 130 has been presented [1.4].
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However, example of a report SiC devices with La-silicate is little, process
conditions such as interfacial La2O3 thickness and anneal condition are
unoptimized. On the basis of these, in this study, we explored the process the
deposition conditions of La2O3 and obtained further electrical characteristics
improvement.
This thesis contain 6 chapters. Fig. 1.4 shows chapter structure in this thesis.
In chapter 1, base on SiC semiconductor such as physical property is
introduced.
In chapter 2, fabrication procedure and experimental principle is described.
In chapter 3, process dependence of electrical characteristics on SiC-MOS
capacitor with La2O3 interface layer was investigated. Sample in this chapter
is fabricated by La2O3 capped anneal.
In Chapter 4, process dependence of electrical characteristics on SiC-MOS
capacitor with inserted La2O3 was investigated. Sample in this chapter is
fabricated by SiO2 capped anneal. In addition, the compositional analysis of
the gate dielectrics and formed interface layer is performed using EELS, we
investigate the relationship between the electrical characteristics and
physical analysis results.
In chapter 5, evaluation of SiC-MOS capacitor with inserted SiN was
conducted. Moreover, we make a comparison of measurement results
between SiN interface and La2O3 interface (Chapter 3 and Chapter 4), better
material as interfacial layer is decided.
Finally, in chapter 6, conclusions and prospects for future work are described.
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References
[1.1] K.Ueno. phys. Stat. sol. (a) 162, 299 (1997).
[1.2] G.Y.Chung, C.C.Tin, J.R.Williams, K.McDonald, R.K.Chanana,
R.A.Weller, S.T.Pantelides, L.C. Feldman, O.W. Holland, M.K.Das and
J.W.Palmour, IEEE Electron Device Lett. 22, 176 (2001)
[1.3] M.Noborio, J.Suda, and T.Kimoto, IEEE Trans. Electron Devices
55,2054 (2008)
[1.4] X. Yang et al., ICSCRM Th-2B-5 (2013).
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Chapter 2
Fabrication and Characterization
2.1 Fabrication procedure
2.2 Experimental principle
2.2.1 SPM cleaning and HF treatment
2.2.2 RE-oxides deposition by MBE
2.2.3 RF magnetron sputtering
2.2.4 Dry etching by RIE
2.2.5 PMA in F.G. ambient
2.2.6 Wet etching with HCl and BHF
2.2.7 Vacuum evaporation for Al deposition
References
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2.1 Experimental procedure
Fig. 2.1 shows the fabrication flow of La2O3 capped anneal samples. MOS
capacitor were fabricated on n-type 4o off-axis 4H-SiC (0001) substrates.
The substrates with ~1×1016cm-3 doped n-type epitaxial layer were subjected
to a solvent and diluted hydrofluoric acid surface cleaning. Next, 4nm and
10nm-thick La2O3 films, which act as capping layers for oxidation, were e-
beam deposited (EBD) on substrates, followed by oxidation in 5%-O2
ambient at 1000oC. Another SiO2 layer is placed by plasma-enhanced
chemical vapor deposition (PECVD) on top of the samples and annealed
again at 1000oC. Tungsten (W) gate electrodes were deposited by RF
sputtering, thereby producing a MOS capacitor. Finally, samples were
subjected to annealing in forming gas (3%-H2) at 420oC. Note that no
annealing in NO or N2O ambient was conducted in all the samples. A sample
without La2O3 layer and with POA were also fabricated as a reference. The
measurement was performed Capacitance-Voltage characteristics of devices,
it was studied the electrical characteristics due to the insertion of La2O3 layer.
Fig. 2.2 shows the fabrication flow of SiO2 capped anneal samples. SiO2
capped anneal is carrying out anneal after TEOS-SiO2 by PECVD, anneal
after La2O3 is not performed.
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Fig.2.1 Fabrication procedure the case of using La2O3 capped anneal
Fig.2.2 Fabrication procedure the case of using SiO2 capped anneal
W/SiO2/La2O3/4H-nSiC
EB-La2O3 (0nm, 4nm, 10nm) deposition
Gate metal(W) deposition (Sputtering)
SPM and HF(20%, 5min) cleaning
Oxidation in 5%O2, 1000oC, 30min
Reactive ion etching(RIE)(Cl2+O2) of gate metal
Backside Al contact
Measurement:CV
Nd-Na=1016 cm-3
SiC substrate
W
La2O3(0, 4, 10nm)
Al
SiO2
SiC epilayer (12mm)TEOS-SiO2 deposition (40nm)
Oxidation in 5%O2, 1000oC, 30min
FGA (H2 : N2 = 3% : 97%), 420oC, 30min
W/SiO2/La2O3/4H-nSiC
EB-La2O3(2, 4, 6, 10nm) deposition
Gate metal(W) deposition (Sputtering)
SPM and HF(20%, 5min) cleaning
Reactive ion etching(Cl2+O2) of gate metal
Backside Al contact
Measurement:CV
Nd-Na=1.2 1015 cm-3
TEOS-SiO2 deposition (2min→35nm)
Oxidation in O2, 30min (1050oC)
FGA (H2 : N2 = 3% : 97%), 420oC, 30min
Backside SiO2 etching by BHF
SiC substrate
W
La2O3(2,4,6,10nm)
Al
SiO2
SiC epilayer (30mm)
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2.2 Experimental principle
2.2.1 SPM cleaning and HF treatment
First of all, it is important to clean the surface of Si-substrate because
particles and metal ions in fabrication processes affect the performance,
reliability, and yield of the devices [2.1]. Treatment in mixed solution of
sulfuric acid and hydrogen peroxide (H2O2:H2SO4 = 2:1) (SPM) and
treatment in hydrofluoric acid (HF) give the effective cleaning procedures.
SPM cleaning remove particles and metal ions thereby cleaning the surface
of SiC-substrate. Particles and metal ions are taken in chemical oxide formed
during SPM cleaning. Thus, 20% HF is used to etch the chemical oxide. By
this cleaning procedure the surface of Si substrate is cleaned and not affected
by contamination.
2.2.2 RE-oxides deposition by MBE
Molecular beam epitaxy is one of the vacuum evaporation methods. Figure
2.3 shows schematic illustration of MBE [2.2]. Since ultra high vacuum
(~10-6 Pa) is created inside of the chamber, the source molecule is not
scattered by residual molecules. E-beam emitted from hot-filament is
accelerated, and bended by magnetic field and then it hits on the source
material. As a result source material is heated to result in the evaporation of
the source material onto the SiC substrate.
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Fig. 2.3 Schematic illustration of MBE.
2.2.3 PDA in 5%O2 / 95%N2 ambient
Post deposition annealing is a thermal treatment used for formation of La-
silicate. After deposition of La-silicate by electron beam. Sample will send
into Rapid Thermal Annealing (RTA) chamber for annealing. To ensure the
oxidation begins at specified temperature. A rapid heating rates was obtained
by high density lamps. In this study, annealing temperature from 800oC to
1000oC are used for the post deposition annealing.
Substrate
Molecular
beam
Source
ultra high vacuum (~10-6 Pa) Substrate heater
Shutter
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2.2.4 RF magnetron sputtering
Gate electrode in this study is deposited by radio frequency (RF) magnetron
sputtering. Fig. 2.4 shows schematic illustration of RF magnetron sputtering.
The high voltage is applied between a substrate and a target. A magnet is set
under the target to prevent plasma damage. Then, Ar gas is flown into the
chamber and high voltage makes high electric fields. Therefore, Ar becomes
the state of plasma, and ionized. Ar ions hit the targets and atoms of the target
are emitted and the film is deposit on the substrate. The advantage of this
method is that better adhesion between substrate and target can be obtained
by this method.
Fig. 2.4 Schematic illustration of RF magnetron sputtering.
Substrate
Ar+
Target
material
Plasma
Atom of
target material
Substrate
Ar+
Target
material
Plasma
Atom of
target material
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2.2.5 Patterning of resist by photo lithography
Resist patterning is the method to eliminate only parts of gate metal which is
needless. It is not needed in FTIR method because the absorption of interface
and inside of substrate can be measured. If the metal part is cut off, La is laid
bare, and the part of total reflection is changed, and the IR spectrum also is
changed. First, resist is applied with on the gate electrode. In this study,
positive resist which developer melts places exposed to light is used. In order
to make resist thickness uniform, SiC-substrates covered with resist are
revolved by spinner.
After that, the substrates are heated to fixate the resist (“Pre-bake”), the
substrates are adjusted to photo mask to do resist patterning. Then, they are
soaked into the developer, and the place covered with the mask is remained.
Finally, they are heated to fixate the resist (“Post-bake”).
2.2.5 Dry etching by RIE
RIE (Reactive Ion Etching) is one of the methods to etch pattern. Fig.2.5
shows schematic illustration. Etching gas which is etching W as a metal
electrode in this study is SF6. O2 is used to eliminate resist. SF6 flows and
Plasma is occurred like RF magnetron sputtering. W uncovered with resist
reacts with F- , and becomes WF6, which is gas in room temperature. After
that, O2 flows and the resist is eliminated. The process is called ashing. RIE
uses both physical and chemical reaction. Physical reaction is due to cations
collide with the substrate for electrical field. Chemical reaction occurs when
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radicals are absorbed on the substrate, and the compounds are separated from
the substrate due to its volatility. Anisotropic etching occurs because cations
are incident vertically, which is advantage point.
Fig. 2.5 Schematic illustration of RIE.
Prasma(Cl2 +O2)
SiC substrate
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2.2.6 PMA in F.G. ambient
Post metallization annealing (PMA) is important to improve high
performance of devices. When it is formed a vacuum, forming gas (F.G.)
(N2:H2 = 97:3) is flown and begin annealing. One of the main purposes of
PMA is dangling bonds at the interface between SiC and La2O3 dielectrics.
Si structure has periodicity and properties at the interface between Si and
La2O3 dielectrics. Therefore, many dangling bonds are generated and cause
interface state, there. By PMA, dangling bonds can be terminated. Interface
has influence on device properties qualities it causes trap, which would be
electrons recombination.
2.2.7 Deposition of Al by vacuum evaporation
Finally, on the backside of substrate, Al electrode whose melting point is
about 660oC is deposited. In this study, vacuum evaporation method is used
to deposit Al, as shown in the Fig. 2.6. First, Al is set on the W board and
then current is flown in the circuit which is connected to W board. Large
current is flown and Al is evaporated by Joule heat. Because evaporation
point of Al is lower than the melting point of W. Al is vaporized and
deposited on the substrate.
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Fig. 2.6 Schematic illustration of vacuum evaporation method.
References
[2.1] T. Ohmi: “Advanced electronics I-15 Ultraclean ULSI gizyutu”,
pp.157-158,
[2.2] T. Watanabe: “Denshisen jochaku・ teikou kanetu jochaku sochi”,
http://www.msl.titech.ac.jp/~hosono/facilities/EBeamEvaporator.htm
Back side
of substrate
W boat
Heated
Aluminium
24
Chapter 3
Process dependent interface
properties of SiC-MOS capacitor
with insertion La2O3
3.1 Introduction
3.2 Impact of anneal temperature on capacitance-voltage characteristics
3.3 Thickness dependence of insertion La2O3 layer on capacitance-
voltage characteristics
3.4 Impact of Post Oxidation Anneal (POA) on capacitance-voltage
characteristics
3.5 TEM image of La2O3 capped oxidation
3.6 Conclusion
References
25
3.1 Introduction
Recent investigations have demonstrated interface property is improved by
using La-silicate as gate dielectric in Si substrate. It is considered there are
two merits of La-silicate dielectrics.
First, La-silicate can relax strain of oxide/semiconductor interface (Fig. 3.1).
La-silicates were reported to have three dimensional silicon tetrahedron
(SiO4) networks modified with La atoms [3.1] and consisted mostly of the
covalent bonds. In addition, as La-silicates are in amorphous state under
conventional semiconductor processes, it can be speculated that bond lengths
as well as bond angles in La-silicates strongly affect electrical characteristics
as in the case of silicon dioxide. It is reported that there is a strong correlation
between strain and defect in SiO2. As a result, La-silicate is expected to
reduce Dit with decreasing interface defect.
Fig. 3.1 IR absorbance spectra with annealing temperature as a parameter.[3.1]
70080090010001100120013001400
Wavenumber (cm-1)
200
800
300
450400
500550600650700750
Absorb
ance (
a.u
.)
70080090010001100120013001400
Wavenumber (cm-1)
200
800
300
450400
500550600650700750
Absorb
ance (
a.u
.)
Si-O-Si La-O-SiGe/La2O3/n-Si
ATR-FTIR 60o
Temperature (oC)
30min
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Fig. 3.2 Generation radical oxygen in La2O3 layer.
Secondly, La2O3 generate of radical oxygen. It is reported that La2O3 can
change external oxygen (O2) to radical oxygen (O*) (Fig.3.2)[3.2]. Radical
oxygen easy to react than external oxygen, it is expected to reduce defects
such as oxygen vacancy in SiO2. However, it is necessary to change all of
insertion La2O3 at oxide /semiconductor interface to La-silicate. Because
electrical characteristics is degraded by presence of interface state between
remained La2O3 and La-silicate (Fig.3.3).
In this thesis, we fabricated SiC-MOS capacitor with La-silicate interfacial
layer, effect on the electrical characteristics by insertion La-silicate layer is
examined. Anneal to react La2O3 carried out after La2O3 deposition by EB
because it is necessary to change all of insertion La2O3 at oxide
/semiconductor interface to La-silicate. And then, process dependent
interface properties of La-silicate structure is investigated by using above
techniques and electrical measurement.
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Fig. 3.3 Band diagram of La2O3/La-silicate/n-SiC structure.
3.2 Impact of anneal temperature on capacitance-voltage characteristics
Capacitance-voltage (CV) characteristics measured at 100 kHz after
annealing capacitors at 800, 900, and 1000oC are shown in Fig. 3.4. Electron
trap is effectively decreased by high temperature anneal more than 900
degree C. Fourier transform infrared spectra, with attenuated-total-reaction
configuration (ATR-FTIR), of SiC substrates oxidized at 1000oC in 5%-O2
ambient with 2-nm thick La2O3 capping layer is shown in Fig. 3.5. The large
absorption peak at around 1065cm-1 is attributed to the LO modes of the
asymmetric stretching vibration of La-O-Si bond. This peaks appeared at
900°C and increase significantly with the temperature raises. This result
suggested that La-silicate formed by high temperature anneal more than 900
degree C.
La2O3
silicate (tsilicate)
Vg
Ef
n-Si
CLa2O3
n-SiC
28
Fig. 3.4 Annealing temperature dependence of capacitance-voltage characteristics of
SiC-MOS capacitor with inserted La2O3.
Fig. 3.5 Infrared absorption spectra of 2nm-thick La2O3/SiC substrate.
W/SiO2/La2O3(4nm)/SiC
Frequency : 1MHz
L/W = 100/100μm
: 1000oC
: 900oC
: 800oC
Gate voltage (V)9630-3-6-9 12 15 18
80
70
50
40
30
20
0
60C
apac
itan
ce (
nF/
cm2)
10
Ab
sorb
ance
(a.
u.)
La2O3 (2nm)/SiC, 5%O2 anneal
12501300 1200 11001150 1050 1000Wavenumbers (cm-1)
Si-O-Si
Li-O-Si
1000oC
950oC
900oC
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3.3 Thickness dependence of insertion La2O3 layer on capacitance-
voltage characteristics
Fig. 3.6 shows capacitance-voltage (CV) characteristics of samples (a)
without La2O3, (b) 4-nm-thick La2O3 and (c) 10-nm-thick La2O3 insertion.
Humps in CV curves is decreased by increasing insertion La2O3 thickness.
Fig. 3.7 shows hysteresis voltage range of all samples. Clockwise Hysteresis
reduction by one-third was obtained with La2O3 insertion. And there is little
difference with the amount of lanthanum oxide insertion. Hump and
Hysteresis affect the electron trap in gate dielectrics and interface defect.
Hence, it was considered that those trap has been reduced by insertion thicker
La2O3 layer.
Fig. 3.8 shows flatband voltage of all samples. Negative shift of flatband
voltage is carried out by increasing insertion La2O3 thickness. Such result
means negative charge in oxide is eliminated by La2O3 insertion.
Extraction of interface state density (Dit) with Terman method showed Fig
3.9. Dit reduction by two third with La2O3 insertion, and little difference with
the amount of insertion La2O3.
30
Fig. 3.6 Insertion La2O3 thickness dependence of capacitance-voltage characteristics
of SiC-MOS capacitor.
(b) La2O3 = 4nmL/W=100/100μm
: 1MHz
: 500kHz
: 100kHz
: 50kHz
Gate voltage (V)40-4-8-12 8 12 16 20
100
40
20
0
60
Cap
acit
ance
(n
F/cm
2)
80
(c) La2O3 = 10nmL/W=100/100μm
: 1MHz
: 500kHz
: 100kHz
: 50kHz
40
20
0
60
Cap
acit
ance
(n
F/cm
2 )
80
Gate voltage (V)40-4-8-12 8 12 16 20
100
40
20
0
60C
apac
itan
ce (
nF/
cm2)
80
Gate voltage (V)40-4-8-12 8 12 16 20
(a) w/o La2O3
L/W=100/100μm
: 1MHz
: 500kHz
: 100kHz
: 50kHz
31
Fig. 3.7 Decreasing hysteresis voltage range in CV curves by insertion La2O3.
Fig. 3.8 Negative shift of flatband voltage by increasing La2O3 thickness.
Hys
tere
sis
volt
age
ran
ge (
V)
1.2
0.8
0
1.6
La2O3 thickness10nm4nmno La2O3
0.4
W/SiO2/La2O3/SiC
N2(5%O2) anneal:1000oC
100kHz
8.0
4.0
2.0
0
6.0
Fla
tba
nd
volt
age
(V
)
La2O3 thickness10nm4nmno La2O3
32
: TEOS only: TEOS-SiO2 + La2O3(4nm): TEOS-SiO2 + La2O3(10nm)In
terf
ace
sta
te d
ensi
ty,
Dit
(eV
-1cm
-2)
1010
1011
1012
Surface potential (V)0.050 0.3 0.350.1 0.15 0.2 0.25
Tarman methodFrequency : 500kHz
Fig. 3.9 Interface state density of capacitance-voltage characteristics
of SiC-MOS capacitor with insertion La2O3.
.
33
3.4 Impact of Post Oxidation Anneal on capacitance-voltage
characteristics
Fig. 3.10 shows CV characteristics (100kHz) of samples that with and
without Post-Oxidation-Anneal (POA) which carried out in 5%-O2 ambient
at 800oC. A sample without La2O3 layer is also fabricated as a reference. In
the case of a sample without La2O3, improvement of electrical properties is
not confirmed. However, as for La2O3 inserted sample, we see improvements
in both stretch-out and hysteresis by POA. Stretch-out affect the interface
state density (Dit) of the interface between oxide and SiC substrate. Therefore,
this result suggest that Dit is reduced by the POA process in La2O3 inserted
sample. For this reason, it was anticipated that the strain of the interface
between oxide and SiC substrate was mitigated by La atom in La-silicate
move as network modifier during POA. In addition, hysteresis was also
reduced by carrying out the POA, smallest hysteresis was obtained in that
case (Fig. ). In these result, POA process is expected to improve the electrical
characteristics in La2O3 inserted SiC-MOS capacitor.
34
Fig. 3.10 Effect of post oxidation anneal on CV curves (a) w/o, (b) with 10nm-thick La2O3.
w/o La2O3 layerL/W=100/100μm100kHz
POA at 800oC
w/o POA
100
40
20
0
60
Cap
acit
ance
(n
F/cm
2)
80
Gate voltage (V)40-4-8-12 8 12 16 20
100
40
20
0
60
Cap
acit
ance
(n
F/cm
2 )
80
Gate voltage (V)40-4-8-12 8 12 16 20
La2O3 = 10nmL/W=100/100μm100kHz
POA at 800oC
w/o POA
20
(a)
(b)
35
Fig. 3.11 Decreasing hysteresis voltage range in CV curves by POA.
Fig. 3.12 Interface state density of capacitance-voltage characteristics
of SiC-MOS capacitor with insertion La2O3.
2.0
1.2
0.8
0
1.6
La2O3 thickness10nm4nmno La2O3 10nm(POA)
0.4
Hys
tere
sis
volt
age
ran
ge (
V)
W/SiO2/La2O3/SiC
N2(5%O2) anneal:1000oC
100kHz
: TEOS only: TEOS-SiO2 + La2O3(4nm): TEOS-SiO2 + La2O3(10nm): TEOS-SiO2 + La2O3(10nm) + POAIn
terf
ace
sta
te d
en
sity
, D
it(e
V-1
cm-2
)
1010
1011
1012
0.050 0.3 0.350.1 0.15 0.2 0.25
Terman methodFrequency : 500kHz
Surface potential (V)
36
3.5 TEM image of La2O3 capped oxidation
Cross sectional transmission electron microscope (TEM) image showed
formation of La-silicate grains, with composition of La2SiO5, agglomerated
at step bunches at the surface of SiC substrates (Fig. 3.13). From the
observed change in the interface and obtained electrical characteristics, one
can anticipated that La-silicate grains are likely to passivate the charge
trapping at step bunches and effectively suppresses the Dit. However, non-
uniform oxide are concerned degradation of dielectric breakdown by topical
electric field concentration. Hence, it is considered necessary to form a more
uniform La-silicate layer.
Fig. 3.13 TEM image of La2O3 capped oxidation indicate formation of La-silicate grains
at step bunches.
SiC(0001) 50nm La2SiO5
JCPDS: 40-0234
37
3.6 Conclusion
In this chapter, electrical characteristics of SiC-MOS capacitor with La2O3
interface layer investigated by measuring capacitance-voltage characteristics.
First, La-silicate formed by high temperature anneal more than 900 degree
C on SiC substrate. Secondly, increasing insertion La2O3 layer at oxide
/semiconductor interface is effective improved interface property (hysteresis,
Dit) and reduced trap in oxide (hump, negative charge). In addition, further
Dit and hysteresis reduction by post-oxidation-anneal was obtained. These
improvement is obtained by relaxing the SiO4 network by La atoms at the
interface, and presumable the generation of radical oxygen by La-atoms to
effectively eliminate the C at and near the interface. However, non-uniform
oxide are concerned degradation of dielectric breakdown by topical
electric field concentration. Hence, it is considered necessary to
form a more uniform La-silicate layer.
Reference
[3.1] S. D. Kosowsky, et al., APL, 73, p.3119 (1997).
[3.2] K. Kakushima, et al., Solid-State Electronic, vol. 54, pp. 720-723, 2010.
38
Chapter 4
Improvement interface properties
of SiO2 capped oxidation
4.1 Introduction
4.2 Impact of anneal temperature on capacitance-voltage characteristics
4.3 Thickness dependence of insertion La2O3 layer on capacitance-
voltage characteristics
4.4 TEM image of SiO2 capped oxidation
4.5 Conclusion
References
39
4.1 Introduction
La-silicate grains with composition of La2SiO5, agglomerated at step
bunches at the surface of SiC substrates from 3.5 in Chapter 3. Moreover,
La-silicate grain formed at a position away from SiC surface. Ideally, La
atoms is uniformly distributed at around SiC to improve electrical
characteristics by relaxing interface strain. We therefore employed anneal
carried out after cap-SiO2 deposition by PECVD. In other research
institutions, electrical characteristics and uniform La-silicate/SiC interface
reported with SiO2 capped anneal (PDA). In addition, La2O3 have
characteristics change external oxygen (O2) to radical oxygen (O*), it is
considered that result in Chapter 3 obtained effect of radical oxygen.
Therefore, annealing ambient is changed to 5%O2 to O2 only.
In this thesis, electrical characteristics of SiC MOS capacitor with SiO2
capped anneal in O2 ambient. And then, we investigated effect to electrical
characteristics by confirming composition of interfacial la-silicate layer.
40
4.2 Thickness dependence of insertion La2O3 layer on
capacitance-voltage characteristics
Fig. 4.1 shows CV characteristics of samples that with and without La2O3
interface layer. Humps in CV curves is decreased by insertion La2O3. In this
result, electron trap of SiO2/La-silicate interface and oxygen vacancy in SiO2
are decreased by insertion La2O3 layer. Fig. 4.2 shows thickness dependence
of insertion La2O3 layer on CV characteristics at 100 kHz. These samples is
not carried out POA process. A sample without capped anneal (Fig. 3.8) is
also mentioned as a reference. A sample with capped anneal is improved
stretch-out in CV curves more than without capped anneal sample. This
result shows Dit is decreased by capped anneal. Fig. 4.3 shows hysteresis
voltage range of all samples. Clockwise hysteresis is effective reduced by
inserting more than 4nm-thick La2O3 interface layer. And there is little
difference with the amount of La2O3 insertion, a sample with 10nm-thick
La2O3 layer obtained lowest hysteresis voltage at 0.3V. Fig. 4.4 shows
flatband voltage of all samples. Negative shift of flatband voltage is carried
out by increasing insertion La2O3 thickness. Hence, it considered negative
charge in oxide is also eliminated in capped anneal.
41
Fig. 4.1 CV curves (a) w/o, (b) with 10nm-thick La2O3.
140
40
0
Ca
pa
cita
nce
(n
F/cm
2)
80
Gate voltage (V)20-2-4-6 4 6 8 10 1412
120
: 1MHz
: 500kHz
: 100kHz
: 10kHz
W/TEOS-SiO2/SiC1050oC oxidation50mm/50mm100
60
20
140
40
0
Ca
pa
cita
nce
(n
F/cm
2)
80
Gate voltage (V)20-2-4-6 4 6 8 10 1412
120
: 1MHz
: 500kHz
: 100kHz
: 10kHz
W/TEOS-SiO2/La2O3(10nm)/SiC1050oC oxidation50mm/50mm100
60
20
(b)
(a)
42
Fig. 4.2 Insertion La2O3 thickness dependence of capacitance-voltage characteristics
of SiC-MOS capacitor.
Fig. 4.3 Decreasing hysteresis voltage range in CV curves by insertion La2O3.
140
40
0
Cap
acit
ance
(n
F/cm
2)
80
Gate voltage (V)20-2-4-6 4 6 8 10 1412
120W/TEOS-SiO2/La2O3/SiC50mm/50mm
100
60
20
: La2O3 = 10nm
: La2O3 = 6nm
: La2O3 = 4nm
: La2O3 = 2nm
: 10nm,POA800oC
0.2
0
Hys
tere
sis
(V)
La2O3 thickness10nm4nm2nm 6nm
W/TEOS-SiO2/La2O3/SiC1050oC oxidation
500kHz0.6
0.8
0.4
43
Fig. 4.4 Negative shift of flatband voltage by increasing La2O3 thickness.
4.3 TEM image of La2O3 capped oxidation
Fig.4.5 showed cross sectional transmission electron microscope (TEM)
image of Metal-Oxide-Semiconductor interface in the case of capped anneal.
It showed formation of uniform La-silicate layer. In addition, La-silicate
layer is separated about 10nm from interface. Therefore, electron can’t
tunnel to SiO2/La-silicate interface state, the electrical properties are not
affected by the interface. EELS analysis has been conducted to identify the
composition of each region. Specific spots in each region has been selected
and numbered respectively, as shown in Fig.4.5. Fig 4.6 show the EEL
spectra of Spot 1 to 4, respectively. From this result, La atom is presented at
4.0
2.0
0
6.0
Flat
ban
dvo
ltag
e (
V)
La2O3 thickness10nm4nm2nm 6nm
W/TEOS-SiO2/La2O3/SiC1050oC oxidation
500kHz
44
Fig. 4.5 TEM image of SiO2 capped oxidation indicate formation of La-silicate layer
.
Fig 4.6 Electron energy loss spectra (a) Spot 1 (b) Spot 2 (c) Spot 3 (d) Spot 4
oxide /semiconductor interface at spot 4. Hence, interface property is
improved depending on interface strain relaxing by presented La atom at
interface[4.1].
4H-SiC (0001), 4ooff
SiO2
La-silicate
30nm
Gate metal(W)
c
o
u
n
t
s
c
o
u
n
t
s
c
o
u
n
t
s
c
o
u
n
t
s
500 600 700 800 900 1000
500 600 700 800 900 1000 500 600 700 800 900 1000
500 600 700 800 900 1000
(a) (b)
(c) (d)
Energy loss (eV) Energy loss (eV)
Energy loss (eV) Energy loss (eV)
O
La
O
La
O
La
O
45
4.4 Conclusion
In this chapter, electrical characteristics of SiC-MOS capacitor with La2O3
interface layer investigated by measuring capacitance-voltage characteristics
in the case of carrying out SiO2 capped anneal. First, increasing insertion
La2O3 layer at oxide /semiconductor interface is effective improved electrical
characteristics. In addition, uniform La-silicate layer is formed by carrying
out SiO2 capped anneal, and La atom is presented at oxide /semiconductor
interface. These La atom at the interface is effective relaxed the SiO4 network,
it obtained more reduced Dit and hysteresis than La2O3 capped anneal of
chapter.3.
Reference
[3.1] S. D. Kosowsky, et al., APL, 73, p.3119 (1997).
46
Chapter 5
Effect of SiN interfacial layer on
electrical characteristics
5.1 Introduction
5.2 Thickness dependence of insertion SiN layer on capacitance-voltage
characteristics
5.3 Thickness dependence of insertion SiN layer on capacitance-voltage
characteristics by SiO2 capped anneal
5.4 TEM image of SiO2 capped anneal with interfacial SiN
5.5 Conclusion
References
47
5.1 Introduction
Improvement of interface properties of SiC-MOS capacitor is general
employed interface nitridation by NO and N2O Anneal. In addition,
deposited SiO2/SiN stack gate structures have been investigated to improve
SiC MOS interface quality [5.1].
Step bunch of SiC surface has plane direction different from terrace (Si-face
(0001))[5.2]. Therefore, oxidation rate in part of step bunch is different, too.
As a result, non-uniform oxide is formed by effect of step bunch. However,
it is considered insertion SiN at interface can buffer reaction of La2O3 from
effect of step bunch.
From these factors, in this thesis, we investigated interface nitridation of SiC-
MOS capacitor with interfacial SiN layer. In order to investigate interface
nitridation, capacitance voltage characteristics is mainly evaluated. In
addition, we make a comparison of electrical properties between SiN
interface and La2O3 interface (Chapter 3 and Chapter 4), better material as
interfacial layer is decided.
48
5.2 Thickness dependence of insertion SiN layer on capacitance-voltage
characteristics
Fig. 5.1 shows comparison of CV characteristics at 1MHz capacitors with
SiN interface layer. SiN thickness are 2.7nm, 4.6nm and 8.0nm, respectively.
Humps in CV curves is increased by increasing insertion SiN thickness. As
this cause, it is considered that remained defect in SiN and plasma damage
by PECVD during SiN deposition. Fig. 5.2 shows trapped charge and
released charge at capacitors with SiN interface layer. These charge is
calculated from CV curves from Fig. 5.1. From the result, it is necessary to
use an at least thinner than 2.7nm SiN as an interfacial layer to eliminate
these charge.
Fig. 5.1 Insertion SiN thickness dependence of capacitance-voltage characteristics
of SiC-MOS capacitor.
90
70
50
40
30
20
0
60
Cap
acit
ance
(n
F/cm
2)
10
80
Gate voltage (V)1050-5-10 15 20 25 30 35
La2O3 = 10nm1MHz
4.6nm
8.0nm
SiN = 2.7nm
49
Fig. 5.2 Calculated trap and released charge with SiN thickness as a parameter.
2.0
1.0
0.5
0
1.5
Trap
ped
ch
arge
() 2.5
2.7nm
4.6nm
8.0nm
La2O3 = 10nm1MHz
SiN thickness (nm)6.04.02.01.0 8.07.05.03.0
× 1013
1.2
0.4
0
0.8
Rel
ease
d c
har
ge (
) 1.6
2.7nm
4.6nm
8.0nm
La2O3 = 10nm1MHz
SiN thickness (nm)6.04.02.01.0 8.07.05.03.0
× 1013
50
5.3 Thickness dependence of insertion SiN layer on capacitance-voltage
characteristics using SiO2 capped anneal
Fig. 5.3 shows capacitance-voltage (CV) characteristics of samples (a) 1.5-
nm-thick SiN insertion. (b) 6-nm-thick La2O3. Oxide of measured device is
fabricated SiO2 capped anneal. Humps in CV curves is decreased by
decreasing insertion SiN thickness. This result suggested that an absolute
quantity of defect in SiN is decreased by decreasing SiN thickness. Moreover,
frequency dispersion is also decreased. The main cause of frequency
dispersion is trapping and releasing of electron in the SiN/SiC interface states
are not able to follow the frequency of input signal. Therefore, sample with
thicker SiN has larger interface state density than thinner SiN sample.
Comparing stretch-out of these results and Fig. 4.1(b), sample with SiN
interfacial layer shows gentry sloping characteristics. La atom is able to relax
the SiO4 network, consequently eliminate defects of oxide/semiconductor
interface and bulk of oxide. However, La atom is not arrived
oxide/semiconductor interface by inserting SiN layer. Hence, it is consider
that in the case of sample with SiN interfacial layer obtained larger Dit.
51
Fig. 5.3 Insertion SiN thickness dependence of capacitance-voltage characteristics
of SiC-MOS capacitor, and using SiO2 capped anneal.
100
20
0
Cap
acit
ance
(n
F/cm
2)
80
Gate voltage (V)20-2-4-6 4 6 8 10 1412
: 1MHz
: 500kHz
: 100kHz
: 10kHz
W/SiO2/La2O3(10nm)/SiN(1.5nm)SiC
1050oC oxidation100mm/100mm
60
40
100
20
0
Cap
acit
ance
(n
F/cm
2)
80
Gate voltage (V)20-2-4-6 4 6 8 10 1412
: 1MHz
: 500kHz
: 100kHz
: 10kHz
W/SiO2/La2O3(10nm)/SiN(6nm)SiC1050oC oxidation100mm/100mm
60
40
52
5.4 TEM image and analysis of nitrogen in interface by EELS
Fig. 5.4 shows Cross sectional transmission electron microscope (TEM)
image of formed La-silicate by SiO2 capped anneal. La-silicate is formed like
layer on SiC substrate. However, agglomerated la-silicate is observed in a
part. Fig. 5.5 shows EELS analysis of agglomerated la-silicate and
oxide/semiconductor interface. In this result, nitrogen was not present at
oxide/semiconductor interface. Therefore, effect of interface nitridation was
not expected by inserting SiN layer. This reason is outward diffusion of
nitrogen during high temperature anneal after SiO2 deposition.
Fig. 5.4 TEM image of SiO2 capped oxidation indicate formation of La-silicate layer.
Fig. 5.5 EELS analysis of agglomerated la-silicate and oxide/semiconductor interface.
La-silicate
SiO2
4H-SiC (0001), 4ooff 30nm
0 5 10 15 20 25 30 35
Intensity[a.u.]
Distance[nm]
N-K
O-K
La-M
53
5.6 Conclusion
In this chapter, electrical characteristics of SiC-MOS capacitor with SiN
interface layer investigated by measuring capacitance-voltage characteristics.
First, in the case of SiN insertion, there is a tendency which humps and Dit
are large. It is considered La atom is not arrived oxide/semiconductor
interface by inserting SiN layer. In addition, nitrogen was not present at
oxide/semiconductor interface from EELS result (Fig. 5.4). Therefore, effect
of interface nitridation was not expected by inserting SiN layer. These results,
it is necessary to choice La2O3 as inserting interfacial layer.
Reference
[5.1] M. Noborio, J. Suda, T. Kimoto, Materials Science Forum Vols. 600-
603 (2009) pp 679-682.
[5.2] K.Ueno. phys. Stat. sol. (a) 162, 299 (1997).
54
Chapter 6
Conclusions
In this thesis, physical understanding of interface improvements in La-
silicate gate dielectrics on silicon carbide substrate is investigated. In this
chapter, the studies are summarized below.
a)Electrical characteristics improved by insertion La2O3 (Chapter 3)
In chapter 3, electrical characteristics of SiC-MOS capacitor with La2O3
interface layer investigated. It is revealed that La2O3 insertion between
SiO2/4H-nSiC have shown improved interface properties. In addition, further
Dit and hysteresis reduction by post-oxidation-anneal was obtained. However,
non-uniform oxide by effect of step bunch at SiC surface are concerned
degradation of dielectric breakdown by topical electric field concentration.
55
b) MOS interface is achieved that indicates the uniform and
good characteristics by SiO2 capped anneal (Chapter 4)
In chapter 4, electrical characteristics of SiC-MOS capacitor with La2O3
interface layer investigated in the case of carrying out SiO2 capped anneal.
First, increasing insertion La2O3 layer at oxide /semiconductor interface is
effective improved electrical characteristics. In addition, uniform La-silicate
layer is formed by carrying out SiO2 capped anneal, and La atom is presented
at oxide /semiconductor interface. These La atom at the interface is effective
relaxed the SiO4 network, it obtained more reduced Dit and hysteresis than
La2O3 capped anneal of chapter.3.
c) Necessary to choice La2O3 as inserting interfacial layer (Chapter 5)
In this chapter, electrical characteristics of SiC-MOS capacitor with SiN
interface layer investigated by measuring capacitance-voltage characteristics.
First, in the case of SiN insertion, there is a tendency which humps and Dit
are large. It is considered La atom is not arrived oxide/semiconductor
interface by inserting SiN layer. In addition, nitrogen was not present at
oxide/semiconductor interface from EELS result (Fig. 5.4). Therefore, effect
of interface nitridation was not expected by inserting SiN layer. These results,
it is necessary to choice La2O3 as inserting interfacial layer.
56
In conclusion, this thesis provides useful information and further
understanding for La-silicate/SiC structure. These studies are also expected
to contribute to the future progress of SiC power devices.
57
Acknowledgments
First of all, I would like to express my gratitude to my supervisor Prof.
Hiroshi Iwai for his continuous encouragement and advices for my study. He
also gave me many chances to attend conferences. The experiences are
precious for my present and future life.
I deeply thank to Kenji Natori, Prof. Kazuo Tsutsui, Prof. Hitoshi
Wakabayashi, Prof. Nobuyuki Sugii, Prof, Akira Nishiyama, Prof. Yoshinori
Kataoka, and Associate Prof. Kuniyuki Kakushima for useful advice and
great help whenever I met difficult problem.
I also thank research colleagues of Iwai Lab. for their friendship, active
many discussions and many of encouraging words.
I would like to appreciate the support of secretaries, Ms. Nishizawa and
Ms. Matsumoto.
Finally, I would like to thank my parents Tsuyoshi and Akemi and my
sister Yuri for their endless support and encouragement.
Shu Munekiyo
February, 2014