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Fall 2010
ECE 453 HW #3
Due 9/17
HW # 3
Due Friday, September 17
This
HW
involves
calculating
the
currentvoltage
(IV)
characteristics
of
a
two
dimensional
nanoscale
FET
numerically, using MATLAB or equivalent.
Please turn in a copy of your MATLAB code.
Equations:
I
=
1
q
dE
˜
G
(
E
−
U
)
−∞
+
∞
∫
f
1
(
E
)
−
f
2
(
E
)
( )
(1)
˜
G
(
E
)
=
q
2
h
M
λ
+
L
(2)
U
=
U
L
+
U
0
(
N
−
N
0
)
(3a)
U
L
≡
(1
−
α
) (
−
qV
G
)
+
(
−
qV
D
)
(3b)
N
=
dE D
(
E
−
U
)
−∞
+
∞
∫
f
1
(
E
)
+
f
2
(
E
)
2
(4a)
N
0
=
dE D
(
E
−
U
)
−∞
+
∞
∫
f
0
(
E
)
(4b)
μ
1
=
0
,
2
=
0
−
qV
D
, and
f
i
(
E
)
=
1
1
+
exp
E
−
i
kT
(5)
Assume (a) ballistic transport:
L
=
0.05
m
<<
, width W = 0.1
µ
m, (b)
V
G
=
0
,
(c) density of states,
D
(
E
)
=
m
π
h
2
ϑ
(
E
−
E
c
)
, velocity
v
(
E
)
=
E
/
m
where
represents the unit step function,
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This note was uploaded on 11/29/2010 for the course ECE 453 taught by Professor Supriyodatta during the Spring '10 term at Purdue.
 Spring '10
 SupriyoDatta
 Volt

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