Chapter 3 overheads - Web Hosting Default Pageusers.ece.gatech.edu/cressler/courses/ECE...
16
1 John D. Cressler 3A after Pierret, Advanced Semiconductor Fundamentals, 1987 Chapter 3 Overheads kT E E F e E f ) ( 1 1 ) ( − + = Fermi-Dirac Distribution Function
Transcript of Chapter 3 overheads - Web Hosting Default Pageusers.ece.gatech.edu/cressler/courses/ECE...
1John D. Cressler
3A
after Pierret, Advanced Semiconductor Fundamentals, 1987
Chapter 3 Overheads
kTEE F
eEf )(
1
1)( −
+=
Fermi-Dirac Distribution Function
2John D. Cressler
3B
after A. Doolittle
Chapter 3 Overheads
0.00
0.20
0.40
0.60
0.80
1.00
1.20
0 0.2 0.4 0.6 0.8 1 1.2
f(E)
E [eV]
3 kT3 kT3 kT3 kT
+/-3 kT
EF=0.55 eV
kTEE F
eEf )(
1
1)( −
+=
T=10 K, kT=0.00086 eV
T=300K, kT=0.0259 eV
T=450K, kT=0.039 eV
For E > (EF+3kT):
f(E) ~ e-(E-EF)/kT~ 0
For E < (EF-3kT):
f(E) ~ 1-e-(E-EF)/kT ~1
10K
450K300K
3John D. Cressler
3C
after A. Doolittle
Chapter 3 Overheads
0
aπ
bπ
cπ
kx
ky
kz
Density of States
4John D. Cressler
3D
after Pierret, Advanced Semiconductor Fundamentals, 1987
Chapter 3 Overheads
5John D. Cressler
3E
after Pierret, Advanced Semiconductor Fundamentals, 1987
Chapter 3 Overheads
Doping:
intrinsic
n-type
p-type
6John D. Cressler
3F
after Pierret, Advanced Semiconductor Fundamentals, 1987
Chapter 3 Overheads
Fermi-Dirac vs BoltzmannStatistics
7John D. Cressler
3G Chapter 3 Overheads
Doping-Induced Bandgap Narrowing
8John D. Cressler
3H
after A. Doolittle
Chapter 3 OverheadsEF
np
kTEEi
Fienp /)( −=
2innp =
kTEEi
iFenn /)( −=
kTEEv
FveNp /)( −= kTEEc
cFeNn /)( −=
)(22/1 vv FNp η
π= )(2
2/1 cc FNn ηπ
=
NA- ND
+
D
kTEEA
AA FAeg
NN /)(1 −−
+= kTEE
D
DD DFeg
NN /)(1 −+
+=
22
22 iDADA nNNNNp +
−+
−=
+−+−
22
22 iADAD nNNNNn +
−+
−=
−+−+
DNn ≅ANp ≅
NA ND
9John D. Cressler
3I
after K. Brennan, Physics of Semiconductors, 1999
Chapter 3 Overheads
Lattice Vibrations
10John D. Cressler
3J
after K. Brennan, Physics of Semiconductors, 1999
Chapter 3 Overheads
Phonon Band Structure for Si and Ge
11John D. Cressler
3K
after Pierret, Advanced Semiconductor Fundamentals, 1987
Chapter 3 Overheads
Drift Transport Scattering
12John D. Cressler
3L
after Pierret, Semiconductor Device Fundamentals, 1996
Chapter 3 Overheads
Mobility
13John D. Cressler
3M
after Pierret, Advanced Semiconductor Fundamentals, 1987
Chapter 3 Overheads
Diffusion Transport
14John D. Cressler
3N
after Pierret, Semiconductor Device Fundamentals, 1996
Chapter 3 Overheads
G/RProcesses
15John D. Cressler
3O
after Pierret, Semiconductor Device Fundamentals, 1996
Chapter 3 Overheads
Traps
16John D. Cressler
3P
after Pierret, Semiconductor Device Fundamentals, 1996
Chapter 3 Overheads
Direct vs Indirect Semiconductors
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