[IEEE 2013 IEEE International Conference of Electron Devices and Solid-State Circuits (EDSSC) - Hong...

2
The Process and Stress-Induced Variability Issues of Trigate CMOS Devices Steve S. Chung Department o/Electronic Engineering, National Chiao Tung Universi, Taiwan email: [email protected] Abstract- Not only the popular random dopant fluctuation (RDF), but also the traps, caused by the hot carrier stress induce the V1h variations. This paper will address the importance of these effects and the experimental demonstration of the process- and trap-induced fluctuations. The boron clustering, sidewall roughness, and the electrical stress effects can all be justified by the theory and the method. This method provides us a valuable tool for the understanding of the process and stress induced variability in 3D devices (e.g., FinFET). Keywords: Trigate CMOS, Variabili, Variation, Reliabili 1. Introduction One of the most significant issues the CMOS scaling is the variability induced by the process and device design [1-2], especially the random dopant fluctuation (RDF) [1], the major source of Vlh variation. To solve RDF, several approaches by using different transistor architecture or process [3-5] have been proposed to remedy the problem. Among them, FinFET or FDSOI [4] has been evolved as a better choice for 20nm and beyond. A similar effect called random trap fluctuation (RTF) caused by the HC-stress will also lead to Vth variations. [6] In this paper, both the process and stress-induced Vlh variation will be demonsated by the theory and experimental verifications trigate devices. 2. The Theoretical Basis Fig. 1 illustrates a device with existing random dopant and oxide aps especially near the drain region. Fig. 2 shows the cross-sectional view of the experimental trigate device. The profiling of random dopant distribution along the channel of the device can be obtained experimentally by combining a theoretical model [7-8]. By varying the source-to-drain bias in Fig. 3, the peak position of the channel barrier can be calculated. To achieve this purpose, the channel barrier can be considered as a second order curve, in which the peak position can be detennined om the experimental measured DIBL and lateral length, Le', based on the fonnulae in Eqs. (1) and (2), Fig. 4. The discrete dopant can be modeled as a delta nction derived in Table 1. The local Vth(x) was first calculated and then the dopants distribution can be determined. Eq. (5). 3. Process-Induced Random Dopant Variation The random fluctuation can be gauged by the Pelgrom plot [9] or Takeuchi plot [10]. The comparison shown in Fig. 5 is the Pelgrom plot, in which the V lh variation is compared for the control n- and p-MOSFETs. The A VI of nMOSFET is larger than that of pMOSFET. To explain the larger value of nMOS, a boron clustering model was reported in [11]. In general, the boron atoms with high concentration are clustered in silicon. Some boron atoms of channel dopants are grouped together with weak bonding and act as one boron cluster which then leads to the larger fluctuation of dopants in the channel. To prove the existence of the boron clustering, experimental result was demonstrated in Fig. 6, where the large fluctuation in nMOSFETs was observed. Also, very high dopant distributions are found near the drain side that are attributed to the difsed atoms of drain impurities into the channel. Fig. 7 shows the comparison of the dopant distribution in conventional and trigate 978-1-4673-2523-3/13/$31.00 ©20 13 IEEE nMOSFETs. It was found that the experimental results of trigate device shows much less fluctuation, which should be from the suppression of the dopant fluctuation by the larger electrical field as a result of a better chancel controllability in the trigate.To study the sidewall roughness effect in trigate devices, the trigate devices with 3 different fin heights are evaluated. Fig. 8 shows the structure and the profiling results for both n- and p-trigate. It reveals that larger fin height device shows a much larger dopant fluctuation, as a result of the sidewall roughness effect. 4. Stress-Induced Variation in Trigate MOSFETs From Pelgrom plot [9], bulk trigate devices exhibit better Vlh variation because a good control of the short channel effect which led to the suppressed RDF.(Fig. 3) But, aſter the stress, Vl variation of trigate devices was much worse than that of control due to RTF, resulting in an increase of Vl variation. (Fig. 9) The amount of increased traps can be extracted by Vlh aſter the stress in Table 2. To characterize the oxide trap spatial distribution, random trap profiling was perfonned aſter hot carrier(HC) stressed the planar and trigate nMOS devices. In planar devices, it was found that the local Vlh variation fluctuated more heavily near drain edge aſter the sess, showing where the traps were generated due to a high electric field.(Fig.lO) But, for trigate devices aſter HC stress (Fig.ll), not only the local Vlh variation was observed near the drain edge but also on the sidewall, meaning that the sidewall creates another effect. We suspect that the sidewall coer effect induced a high electric field and generated the traps. As a result, in trigate nMOS devices, the trap density was much higher than that of the planar aſter the HC sess. (Fig.l2) To examine the sidewall effects, pMOS devices with three different sidewall heights, under NBTI stress, have been compared, Fig. 13, in which the higher the sidewall is, the more device degradation becomes as a result of the sidewall roughness and a high electric field on the sidewall coer. The results shown in Fig. 14 confirm these reasonings. In summary, a random trap profiling technique has been implemented successlly to identi the oxide trap distribution in a small dimension bulk trigate device. Trigate devices show better RDF variability but poorer reliability than the planar devices. From the reliability aspects, we conclude that NB stress dominates the degradation of trigate devices due to the sidewall roughness effect. (Fig. 14) Through the above experiments, it provides us a more specific evidence to confinn the traps which results om the electrical sess could enhance V lh variation, i.e. (V lh )2 = (dopant)2 + (Ni l t These results provide us a direction on a good control of the reliability for ture 3D trigate CMOS devices. Acknowledgments This work was support in part by the National Science under contract NSC99-222i-E009-i92 and NSCiOO-222i-E009-0i6-3, the MoE ATU program . References: [I] F. Yang et aI., VLSi, 208,(2007). [2] A. Asenov, VLSI, 86(2007). [3] T. Tsunomura et aI., VLSi, 110(2009). [4] A. V-Y Thean et aI., iEDM, 881 (2006). [5] S. Kamiyama et aI., IEDM, 431 (2009). [6] E. R. Hsieh et aI., IRPS, 941 (20 II). [7] E. R. Hsieh et aI. , VLSI, 184 (20 II). [8] H. M. Tsai et aI., VLSI, 194 (2012). [9] M. 1. M. Pelgrom et aI., iEEE JSSC, 1433 (1989). [10] K. Takeuchi et aI., IEDM, 467 (1997). [II] K. Takeuchi et aI., IEDM, 467(2007).

Transcript of [IEEE 2013 IEEE International Conference of Electron Devices and Solid-State Circuits (EDSSC) - Hong...

Page 1: [IEEE 2013 IEEE International Conference of Electron Devices and Solid-State Circuits (EDSSC) - Hong Kong, Hong Kong (2013.06.3-2013.06.5)] 2013 IEEE International Conference of Electron

The Process and Stress-Induced Variability Issues of Trigate CMOS Devices Steve S. Chung

Department o/Electronic Engineering, National Chiao Tung University, Taiwan email: [email protected] Abstract- Not only the popular random dopant fluctuation (RDF), but also the traps, caused by the hot carrier stress induce the V1h variations. This paper will address the importance of these effects and the experimental demonstration of the process- and trap-induced fluctuations. The boron clustering, sidewall roughness, and the electrical stress effects can all be justified by the theory and the method. This method provides us a valuable tool for the understanding of the process and stress induced variability in 3D devices (e.g., FinFET).

Keywords: Trigate CMOS, Variability, Variation, Reliability

1. Introduction One of the most significant issues in the CMOS scaling is

the variability induced by the process and device design [1-2], especially the random dopant fluctuation (RDF) [1], the major source of Vlh variation. To solve RDF, several approaches by using different transistor architecture or process [3-5] have been proposed to remedy the problem. Among them, FinFET or FDSOI [4] has been evolved as a better choice for 20nm and beyond. A similar effect called random trap fluctuation (RTF) caused by the HC-stress will also lead to Vth variations. [6] In this paper, both the process and stress-induced Vlh variation will be demonstrated by the theory and experimental verifications in trigate devices.

2. The Theoretical Basis Fig. 1 illustrates a device with existing random dopant and

oxide traps especially near the drain region. Fig. 2 shows the cross-sectional view of the experimental trigate device. The profiling of random dopant distribution along the channel of the device can be obtained experimentally by combining a theoretical model [7-8]. By varying the source-to-drain bias in Fig. 3, the peak position of the channel barrier can be calculated. To achieve this purpose, the channel barrier can be considered as a second order curve, in which the peak position can be detennined from the experimental measured DIBL and lateral length, LetI', based on the fonnulae in Eqs. (1) and (2), Fig. 4. The discrete dopant can be modeled as a delta function derived in Table 1. The local crVth(x) was first calculated and then the dopants distribution can be determined. Eq. (5).

3. Process-Induced Random Dopant Variation The random fluctuation can be gauged by the Pelgrom plot [9]

or Takeuchi plot [10]. The comparison shown in Fig. 5 is the

Pelgrom plot, in which the Vlh variation is compared for the

control n- and p-MOSFETs. The A VI of nMOSFET is larger than

that of pMOSFET. To explain the larger value of nMOS, a boron

clustering model was reported in [11]. In general, the boron atoms

with high concentration are clustered in silicon. Some boron atoms

of channel dopants are grouped together with weak bonding and

act as one boron cluster which then leads to the larger fluctuation

of dopants in the channel.

To prove the existence of the boron clustering, experimental

result was demonstrated in Fig. 6, where the large fluctuation in

nMOSFETs was observed. Also, very high dopant distributions

are found near the drain side that are attributed to the diffused

atoms of drain impurities into the channel. Fig. 7 shows the

comparison of the dopant distribution in conventional and trigate

978-1-4673-2523-3/13/$31.00 ©20 13 IEEE

nMOSFETs. It was found that the experimental results of trigate

device shows much less fluctuation, which should be from the

suppression of the dopant fluctuation by the larger electrical field

as a result of a better chancel controllability in the trigate.To study

the sidewall roughness effect in trigate devices, the trigate devices

with 3 different fin heights are evaluated. Fig. 8 shows the

structure and the profiling results for both n- and p-trigate. It

reveals that larger fin height device shows a much larger dopant

fluctuation, as a result of the sidewall roughness effect.

4. Stress-Induced Variation in Trigate MOSFETs From Pelgrom plot [9], bulk trigate devices exhibit better

Vlh variation because a good control of the short channel effect which led to the suppressed RDF.(Fig. 3) But, after the stress, Vllt variation of trigate devices was much worse than that of control due to RTF, resulting in an increase of Vllt variation. (Fig. 9) The amount of increased traps can be extracted by crVlh after the stress in Table 2.

To characterize the oxide trap spatial distribution, random trap profiling was perfonned after hot carrier(HC) stressed the planar and trigate nMOS devices. In planar devices, it was found that the local Vlh variation fluctuated more heavily near drain edge after the stress, showing where the traps were generated due to a high electric field.(Fig.lO) But, for trigate devices after HC stress (Fig.ll), not only the local Vlh variation was observed near the drain edge but also on the sidewall, meaning that the sidewall creates another effect. We suspect that the sidewall corner effect induced a high electric field and generated the traps. As a result, in trigate nMOS devices, the trap density was much higher than that of the planar after the HC stress. (Fig.l2) To examine the sidewall effects, pMOS devices with three different sidewall heights, under NBTI stress, have been compared, Fig. 13, in which the higher the sidewall is, the more device degradation becomes as a result of the sidewall roughness and a high electric field on the sidewall corner. The results shown in Fig. 14 confirm these reasonings.

In summary, a random trap profiling technique has been implemented successfully to identify the oxide trap distribution in a small dimension bulk trigate device. Trigate devices show better RDF variability but poorer reliability than the planar devices. From the reliability aspects, we conclude that NBTl stress dominates the degradation of trigate devices due to the sidewall roughness effect. (Fig. 14) Through the above experiments, it provides us a more specific evidence to con finn the traps which results from the electrical stress could enhance Vlh variation, i.e. cr(Vlh)2 = cr(dopant)2 + cr(Nilt These results provide us a direction on a good control of the reliability for future 3D trigate CMOS devices.

Acknowledgments This work was support in part by the National Science

under contract NSC99-222i-E009-i92 and NSCiOO-222i-E009-0i6-MY3, the

MoE ATU program .

References: [I] F. Yang et aI., VLSi, 208,(2007). [2] A. Asenov, VLSI, 86(2007). [3] T.

Tsunomura et aI., VLSi, 110(2009). [4] A. V -Y Thean et aI., iEDM, 881 (2006).

[5] S. Kamiyama et aI., IEDM, 431 (2009). [6] E. R. Hsieh et aI., IRPS, 941

(20 II). [7] E. R. Hsieh et aI. , VLSI, 184 (20 II). [8] H. M. Tsai et aI., VLSI,

194 (2012). [9] M. 1. M. Pelgrom et aI., iEEE JSSC, 1433 (1989). [10] K.

Takeuchi et aI., IEDM, 467 (1997). [II] K. Takeuchi et aI., IEDM, 467(2007).

Page 2: [IEEE 2013 IEEE International Conference of Electron Devices and Solid-State Circuits (EDSSC) - Hong Kong, Hong Kong (2013.06.3-2013.06.5)] 2013 IEEE International Conference of Electron

'T N,(x)dx LIV

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(I)

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(4 ) Fig. 1 Vth variation is dominated by the discrete dopants in the channel, known as RDF; however, after the stress, another effect, RTF caused by the traps, will also lead to Vth variation.

Fig. 2 (top) The 3D structure of bulk trigate FET. (bottom) the cross sectional view with fin height H. Drain current is perpendicular to this plane.

N,(x) = (C;, ",V,,(x) r (5 ) Fig. 3 By varying the V SD' the barrier peak --> can be found from the D18L since as V SD increases, the barrier peak will be shifted toward the drain such that the trap density Table 1 The derivation of dopant

denstiy as a function of the Vth variation along the channel direction.

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Channel Distance (nm)

Fig. 4 The method to calculate the channel barrier peak along the channel, in which the peak position can be determined from the measured DIBL.

Fig. 5 The trigate devices show lower slopes of A" than the planar ones (control) because a stronger gate field in trigate tends to suppress the dopant fluctuation.

Fig. 6 The experimental dopant density of conventional nMOS and pMOS devices.

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--0- Conv. nMOS devices -- trigate nMOS devices

Gate Length = 36 nm Leff=24nm

� I j::::��������--� g 01:, <:I 3 6 9 12

Channel Distance (nm) Fig. 7 The experimental dopant density of conventional and trigate nMOS devices. Note that trigate device exhibits a smaller dopant density.

aV,h.fr"h = Avr I.JLW (I) CTVOuhiJ/ = q (J DI�ap / C w:

r" t1N,rop(x)o(x-x,rop)dx = q LW

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2 4 , 8 10 12 (d) Channel Distance(nm)

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Width= 7S(nm) pMOSFETs

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"0

2 4 , 8 10 12 (e) Channel Distance(nm)

Table 2 The derivation of Random Trap Fluctuation (RTF) which is also proportional to the inverse of the square root of device area.

Fig. 8 (a) The trigate with various heights. Local Vth variations in (b) nMOSFET, (c) pMOSFETs, and the dopant density of trigate devices in (d) nMOSFETs, (e) pMOSFETs.

trigate nMOS devices 15 Stress@Vgs"'Vds=VdctVfb"'2V

;;­E '}10

b (ij g 5 --'

-stress 200s }(ROF+RTF) ........... stress 100s ___ Freah (RDFI

Position(nm) Fig. II The local crVth profiling results by RTP for trigate devices. It was found that the peaks are not only near the drain edge but also in the channel region after HC stress.

Larger fin height induces larger dopant variation.

18 Stress@ _15 Vgs= Vds=Vdd+Vfb= 2V,200s NE _ trigate nMOS devices ji 12 -0- planar nMOS devices �o 9 _ High field near Drain ---<- ? � 6 �����n��C:�e�:F

{ 3 � J P o���� 6 8 10 12 14 Position( nm) Fig. 12 The comparison of i'ltrap densities for planar and trigate devices after HC stress, showing that the traps of trigate device are much larger than those of planar device.

150 pMOS devices Stress@Vgs '" Vdd+VIb" -2 V,

Position(nm) Fig. 13 L'lNtmp profil ing for different Fin-height tngate devices after NBTI stress. More traps are observed for larger Fin-height device due to the sidewall roughness effect.

40

30 � � � 20

r: -> 10 <l

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13 ... , .0"'" ..-

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100 200 300 400 100 200 300 400

stress time(sec) Fig. 9 Although trigate devices show good variability, they show much worse Vth degradation after the stress than the control, resulting in an increase ofVtI, ariation.(RTF)

OXI ,e 15 planarnMOSdeYIces

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6 8 10 12 14 Position(nm) Fig. 10 The local a Vth profiling results by RTP for planar devices. RTF was accumulated over the RDF.

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