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1238
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s
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DG
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Hall
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g
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ield
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CC
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ield
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o
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all
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was
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by
W
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[
1
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on
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d
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[
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3
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m
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7
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,
[
9
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.
T
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MO
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1
2
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k
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to
h
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v
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g
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m
ag
n
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s
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s
itiv
ity
to
th
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m
ag
n
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f
ield
[
1
3
]
,
[
1
4
]
b
ec
au
s
e
of
th
e
lo
w
ac
tiv
e
ch
an
n
el
ar
ea
.
T
h
is
lead
s
to
co
m
p
licated
v
ar
i
o
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s
s
h
o
r
t
ch
an
n
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f
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ts
(
SC
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s
u
ch
as
th
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f
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of
hot
ca
r
r
ier
s
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f
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t,
th
r
esh
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ld
v
o
ltag
e
Evaluation Warning : The document was created with Spire.PDF for Python.
I
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d
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J
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g
&
C
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p
Sci
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N:
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7
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Ma
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d
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o
f d
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a
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a
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MOS
tr
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s
is
to
r
(
M
o
h
a
med
K
ess
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)
1239
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f
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E
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1
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,
i
n
d
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y
m
m
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t
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[
1
8
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,
[
1
9
]
.
T
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m
ag
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tr
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n
s
co
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of
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t
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n
of
th
e
cu
r
r
en
t
lin
es
in
s
id
e
th
e
ch
an
n
el
co
n
s
eq
u
en
tly
of
th
e
L
o
r
en
tz
f
o
r
ce
ac
tin
g
to
th
e
cu
r
r
e
n
t
[
1
4
]
,
[
2
0
]
.
Ho
wev
er
,
no
r
esear
ch
h
as
b
ee
n
p
er
f
o
r
m
ed
on
th
e
to
p
ic,
ce
r
tain
ly
b
ec
au
s
e
th
e
ap
p
licatio
n
s
of
s
u
ch
a
v
er
y
h
ig
h
f
ield
ar
e
lim
ited
.
T
h
e
s
im
u
latio
n
of
h
all
ef
f
ec
t
d
ev
ices
is
r
elativ
ely
n
ew,
s
tar
ted
in
th
e
1
9
8
0
s
[
2
1
]
-
[
2
3
]
,
a
n
d
h
as
h
elp
ed
to
an
aly
ze
an
d
u
n
d
er
s
tan
d
t
h
e
o
p
er
atio
n
of
th
e
h
all
-
ef
f
ec
t
in
co
m
p
lex
d
ev
ices
s
u
ch
as
in
teg
r
ated
cir
cu
its
.
T
h
e
aim
of
t
h
is
ar
ticle
is
an
an
aly
s
is
of
ad
v
an
ce
d
C
MO
S
in
teg
r
ated
cir
cu
its
at
th
e
n
an
o
s
ca
le
an
d
th
eir
s
en
s
itiv
ity
to
th
e
ex
ter
n
al
m
ag
n
etic
f
ield
.
T
h
eir
p
e
r
f
o
r
m
an
c
e
can
be
s
er
io
u
s
ly
im
p
air
ed
a
n
d
th
u
s
r
esu
lt
f
r
o
m
u
n
f
o
r
eseea
b
le
m
alf
u
n
ctio
n
s
.
In
th
e
ca
s
e
of
v
eh
icles
an
d
m
ac
h
in
es
co
n
tr
o
lled
by
th
ese
cir
cu
its
,
co
n
tr
o
l
is
s
y
s
tem
atica
lly
lo
s
t.
To
r
em
e
d
y
th
is
,
co
n
t
r
o
l
of
t
h
e
ef
f
ec
ts
of
th
e
e
x
ter
n
al
m
ag
n
eti
c
f
ield
on
t
h
e
o
p
er
atio
n
of
th
es
e
cir
cu
its
m
u
s
t
be
co
n
tr
o
lled
.
T
h
is
co
n
tr
o
l
in
v
o
lv
es
th
e
q
u
an
tific
atio
n
of
th
ese
n
o
is
es,
th
eir
an
aly
s
is
,
an
d
th
eir
im
p
ac
t
on
th
e
f
u
n
ctio
n
in
g
of
t
h
e
cir
c
u
its
.
Fo
r
th
is
,
th
e
d
o
u
b
le
g
ate
m
etal
o
x
id
e
s
em
ico
n
d
u
cto
r
f
i
eld
ef
f
ec
t
tr
an
s
is
to
r
(
DG
MO
SF
E
T
)
tr
an
s
is
to
r
w
as
co
n
s
id
er
ed
an
d
m
o
d
ele
d
by
th
e
f
in
ite
elem
e
n
t
m
eth
o
d
,
wh
ile
tak
in
g
i
n
to
ac
co
u
n
t
all
th
e
e
f
f
ec
ts
of
ca
r
r
ier
tr
an
s
p
o
r
t
in
s
em
ico
n
d
u
cto
r
s
u
n
d
er
an
ex
ter
n
al
m
ag
n
etic
f
ield
.
T
h
e
r
esu
lts
s
h
o
w
ex
ce
llen
t
ac
cu
r
ac
y
,
c
o
m
p
o
r
tm
en
t
an
d
g
o
o
d
ag
r
ee
m
en
t
co
m
p
ar
ed
with
th
at
o
b
tain
ed
in
th
e
ex
p
er
im
e
n
tal
s
tu
d
y
of
MO
SF
E
T
s
tech
n
o
lo
g
y
.
2.
DE
VI
CE
S
T
RUC
T
UR
E
AN
D
P
H
YSI
CS
T
h
e
s
tr
u
ctu
r
e
of
th
e
d
ev
ice
s
tu
d
ied
in
o
u
r
s
im
u
latio
n
is
illu
s
tr
ated
in
Fig
u
r
e
1
(
a
)
.
T
h
e
ap
p
lied
m
ag
n
etic
f
ield
B
=(
0
,
B
y
,
0)
is
co
n
s
id
er
ed
p
er
p
en
d
ic
u
lar
to
th
e
cu
r
r
en
t
f
lo
win
g
b
etwe
en
th
e
two
co
n
tacts
d
r
ain
an
d
s
o
u
r
ce
o
r
ien
ted
alo
n
g
th
e
y
-
ax
is
.
T
h
e
cu
r
r
en
t
d
e
n
s
ity
f
lo
win
g
th
r
o
u
g
h
th
e
s
ilico
n
c
h
an
n
el
is
alo
n
g
th
e
z
-
ax
is
.
T
wo
o
p
en
cir
cu
it
h
all
1
a
n
d
h
all
2
r
ec
tan
g
u
lar
co
n
tacts
ar
e
p
r
o
v
id
ed
f
o
r
th
e
d
etec
tio
n
of
th
e
h
all
v
o
ltag
e
V
H
,
m
ad
e
on
th
e
DG
MO
SF
E
T
s
tr
u
ctu
r
e
ar
e
p
lace
d
p
e
r
p
en
d
icu
lar
to
th
e
y
-
d
ir
ec
ti
o
n
.
T
h
e
S
(
s
o
u
r
ce
),
th
e
D
(
d
r
ain
)
an
d
th
e
G
(
g
ate
)
ar
e
b
ias
co
n
tacts.
T
h
e
len
g
th
of
th
e
ch
an
n
el
is
L
=
2
0
n
m
,
its
wid
th
is
W
-
2
8
n
m
.
We
ass
u
m
ed
an
en
h
a
n
ce
m
en
t
n
-
ty
p
e
ch
an
n
el
d
ev
ice.
We
s
h
all
d
en
o
te
th
e
d
r
ai
n
to
s
o
u
r
ce
v
o
lta
g
e
by
V
D
,
th
e
g
ate
to
s
o
u
r
ce
v
o
ltag
e
by
V
G
,
an
d
th
e
th
r
esh
o
ld
v
o
ltag
e
by
V
T
.
Fig
u
r
e
1
(
b
)
,
illu
s
tr
ates
th
e
ty
p
e
o
f
d
o
p
in
g
p
r
o
f
ile
f
o
r
th
e
s
ilico
n
DG
MO
SF
E
T
.
No
te
th
at
t
h
e
elec
tr
o
n
co
n
ce
n
tr
atio
n
is
h
ig
h
est
in
th
e
s
o
u
r
ce
an
d
d
r
ain
ex
ten
s
io
n
co
n
tacts.
T
h
e
co
n
ce
n
tr
atio
n
is
r
ed
u
ce
d
p
ast
th
e
lim
its
o
f
th
e
s
o
u
r
ce
an
d
th
e
d
r
ain
to
th
e
ch
an
n
el
d
o
p
ed
with
ac
ce
p
to
r
im
p
u
r
ity
.
T
h
e
d
o
p
i
n
g
p
r
o
f
ile
is
a
v
er
y
im
p
o
r
tan
t
c
r
iter
io
n
in
MO
SF
E
T
s
b
ec
au
s
e
it
tells
u
s
ab
o
u
t
th
e
d
esire
d
d
r
ain
c
u
r
r
e
n
t
lev
els
an
d
th
e
s
tr
en
g
th
o
f
th
e
elec
tr
ic
f
ield
in
th
e
d
e
v
ice.
T
h
e
d
etails
o
f
th
e
d
e
v
ice’
s
p
h
y
s
ical
p
ar
am
eter
s
u
s
ed
in
th
e
s
tr
u
ctu
r
e
a
r
e
s
h
o
wn
in
T
ab
le
1
.
(
a)
(
b
)
Fig
u
r
e
1.
(
a
)
R
ep
r
esen
t
th
e
s
ch
em
atic
s
tr
u
ctu
r
e
of
an
n
-
c
h
an
n
el
DG
MO
SF
E
T
an
d
(
b
)
s
h
o
w
th
e
im
p
u
r
ity
d
o
p
in
g
p
r
o
f
ile
in
th
e
c
h
an
n
el
of
Si
DG
MO
SF
E
T
s
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0
T
Φ
M
A
b
so
l
u
t
e
t
e
mp
e
r
a
t
u
r
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in
K
e
l
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f
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c
t
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o
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3
0
0
K
4
.
6
e
V
If
a
co
n
s
tan
t
m
ag
n
etic
f
ield
,
B
is
ap
p
lied
alo
n
g
a
p
er
p
en
d
i
cu
lar
to
th
e
d
ir
ec
tio
n
of
d
r
ain
cu
r
r
en
t,
th
e
L
o
r
en
tz
eq
u
atio
n
will
be
u
s
ed
to
d
escr
ib
e
th
e
h
all
ef
f
ec
t
in
s
i
lico
n
DG
MO
SF
E
T
s
[
1
3
]
∗
2
2
+
∗
=
(
−
)
[
+
(
×
)
]
(
1
)
h
er
e
*
m
is
th
e
c
y
clo
tr
o
n
ef
f
ec
tiv
e
m
ass
,
r
is
th
e
p
o
s
itio
n
,
an
d
t
h
e
av
er
a
g
e
(
r
ec
o
m
b
in
atio
n
)
lif
etim
e
of
th
e
elec
tr
o
n
.
d
v
is
th
e
v
elo
city
at
wh
ich
elec
tr
o
n
s
move
th
r
o
u
g
h
th
e
h
all
ef
f
ec
t
.
is
th
e
elec
tr
ic
f
ie
ld
ap
p
lied
in
a
d
ir
ec
tio
n
p
r
o
v
id
ed
by
th
e
p
o
la
r
izatio
n
co
n
tacts
of
th
e
tr
a
n
s
is
to
r
.
T
h
en
t
h
e
h
all
f
ield
,
p
r
o
d
u
ce
d
by
t
h
e
h
all
ef
f
ec
t
is
g
iv
en
by
[
2
4
]
,
=
(
2
−
2
(
+
)
2
)
(
.
′
)
(
2
)
In
ca
s
e
of
n
-
ty
p
e
ch
a
n
n
el
M
OSFET
,
th
e
d
r
ain
cu
r
r
en
t
is
en
tire
ly
ca
r
r
ied
by
m
ajo
r
ity
ca
r
r
ier
s
,
elec
tr
o
n
s
co
n
s
eq
u
e
n
tly
,
≫
,
th
u
s
(
2
)
can
be
wr
itte
n
as
[1
7
]
,
=
(
−
1
)
(
.
′
)
(
3
)
At
lo
w
d
r
ai
n
v
o
ltag
e
V
D
,
in
th
e
lin
ea
r
r
eg
io
n
of
o
p
er
atio
n
of
a
MO
SF
E
T
,
V
D
<V
G
-
V
T
.
T
h
e
ar
ea
d
en
s
ity
of
ca
r
r
ier
s
in
th
e
c
h
an
n
el
is
ap
p
r
o
x
im
ately
co
n
s
tan
t
o
v
er
th
e
c
h
an
n
el.
T
h
is
ch
ar
g
e
d
en
s
ity
is
g
iv
en
by
,
ℎ
≃
(
−
)
(
4
)
w
h
er
e
OX
C
d
en
o
te
th
e
g
ate
o
x
id
e
c
ap
ac
itan
ce
p
er
u
n
it
ar
ea
.
T
h
e
d
r
ain
cu
r
r
e
n
t
I
D
is
g
iv
en
by
[
2
5
]
,
=
2
ℎ
(
−
−
/
2
)
(
5
)
s
o,
D
I
can
be
wr
itten
as
[
2
6
]
,
=
×
(
6
)
w
h
er
e
DS
gm
is
th
e
ch
an
n
el
co
n
d
u
ct
an
ce
f
o
r
→
0
.
T
h
e
c
h
an
n
el
c
o
n
d
u
ctan
ce
is
g
iv
en
by
[
2
5
]
,
=
‖
=
ℎ
8
(
7
)
w
h
er
e
ch
d
en
o
tes
th
e
d
r
if
t
m
o
b
ilit
y
of
ca
r
r
ier
s
in
th
e
ch
an
n
e
l,
is
v
alu
e
at
th
e
d
r
ain
,
is
th
e
elec
tr
o
n
ch
ar
g
e,
i
n
is
th
e
in
tr
in
s
ic
ca
r
r
ier
d
en
s
ity
.
At
h
ig
h
er
d
r
ain
v
o
ltag
e
V
D
(
≤
−
),
th
e
ca
r
r
ier
’
s
ch
ar
g
e
d
en
s
ity
in
th
e
ch
a
n
n
el
co
n
tin
u
o
u
s
ly
d
ec
r
ea
s
es
with
in
cr
ea
s
in
g
d
is
tan
ce
f
r
o
m
th
e
s
o
u
r
ce
.
T
h
e
d
r
ai
n
cu
r
r
e
n
t
is
g
en
er
ally
g
iv
en
by
[
2
5
]
,
Evaluation Warning : The document was created with Spire.PDF for Python.
I
n
d
o
n
esian
J
E
lec
E
n
g
&
C
o
m
p
Sci
I
SS
N:
2502
-
4
7
5
2
Ma
g
n
etic
s
en
s
itivity m
o
d
elin
g
o
f d
u
a
l
g
a
te
MOS
tr
a
n
s
is
to
r
(
M
o
h
a
med
K
ess
i
)
1241
=
ℎ
(
−
)
/
(
1
−
−
/
)
(
8
)
C
h
an
n
el
co
n
d
u
ctan
ce
DS
gm
in
s
atu
r
atio
n
r
eg
io
n
is
g
iv
en
by
[
2
6
]
,
=
.
1
+
.
≅
.
(
9
)
In
lo
n
g
c
h
an
n
el
MO
SF
E
T
s
≈
0
,
th
er
ef
o
r
e
=
0
.
So
,
ef
f
ec
t
of
m
ag
n
etic
f
ield
on
th
e
s
h
o
r
t
ch
an
n
el
MO
SF
E
T
s
,
0
th
u
s
v
er
y
m
in
o
r
ef
f
ec
t
m
a
y
be
o
b
s
er
v
e
d
wh
en
th
e
d
r
ai
n
v
o
ltag
e
r
ea
c
h
es
th
e
v
alu
e
V
DSat
=V
G
-
V
T
.
T
h
e
ch
ar
g
e
d
e
n
s
ity
at
th
e
d
r
ain
b
o
u
n
d
ar
y
of
th
e
ch
an
n
el
is
p
r
ac
tically
r
ed
u
ce
d
to
ze
r
o
,
wh
ic
h
co
r
r
esp
o
n
d
s
to
th
e
p
in
ch
p
o
in
t.
B
ey
o
n
d
th
e
p
in
ch
p
o
in
t,
th
e
cu
r
r
en
t
r
em
ain
s
p
r
ac
tically
co
n
s
tan
t.
T
h
e
d
r
ai
n
s
atu
r
atio
n
cu
r
r
e
n
t
is
g
iv
en
by
(
)
ac
co
r
d
in
g
to
(
8
)
.
T
h
e
h
all
v
o
ltag
e
of
MO
SF
E
T
is
in
th
e
f
o
r
m
[
8
]
,
=
ℎ
⊥
(
1
0
)
R
ec
allin
g
th
at
ch
Q
g
iv
en
by
(
4
)
,
G
H
d
en
o
tes
th
e
g
eo
m
etr
ic
co
r
r
ec
tio
n
f
ac
to
r
an
d
r
H
th
e
h
all
f
ac
to
r
.
In
s
em
ico
n
d
u
cto
r
p
h
y
s
ics,
th
e
class
ical
m
o
d
el
of
ca
r
r
ier
tr
a
n
s
p
o
r
t
[
2
7
]
,
[
28]
is
b
ased
on
c
o
n
tin
u
ity
eq
u
atio
n
s
.
In
o
r
d
e
r
to
h
av
e
a
co
m
p
lete
d
escr
ip
tio
n
,
we
wo
u
ld
also
n
ee
d
to
tak
e
in
to
ac
co
u
n
t
th
e
f
o
llo
win
g
p
ar
tial
d
if
f
er
en
tial
eq
u
atio
n
,
−
.
(
)
=
(
−
+
)
(
1
1
)
w
h
er
e
V:
d
en
o
tes
th
e
elec
tr
o
s
t
atic
p
o
ten
tial,
ε:
is
th
e
elec
tr
ical
p
er
m
itti
v
ity
of
th
e
m
ate
r
ial,
q:
is
th
e
elec
tr
o
n
ic
ch
ar
g
e
a
n
d
N=
N
D
-
N
A
is
th
e
f
u
lly
io
n
ized
n
et
im
p
u
r
it
y
d
is
tr
ib
u
tio
n
.
T
h
e
s
o
lu
tio
n
of
th
e
Po
is
s
o
n
in
(
1
1
)
is
th
e
elec
tr
o
s
tatic
p
o
ten
tial
V.
T
h
e
d
is
cr
etiza
tio
n
of
th
e
Po
is
s
o
n
e
q
u
atio
n
,
th
e
co
n
tin
u
ity
eq
u
atio
n
s
of
elec
tr
o
n
s
an
d
h
o
les
ar
e
n
ec
ess
ar
y
an
d
a
co
u
p
led
m
eth
o
d
,
wh
ich
is
a
g
en
er
aliza
tio
n
of
New
to
n
'
s
m
eth
o
d
,
is
u
s
ed
to
ca
lcu
late
th
e
in
itially
p
r
o
p
o
s
ed
s
y
s
tem
by
a
n
u
m
e
r
ical
iter
ativ
e
m
et
h
o
d
.
An
d
in
o
r
d
er
to
e
x
p
r
ess
th
e
im
p
ac
t
of
t
h
e
m
ag
n
etic
f
ield
in
th
e
d
ev
ice,
by
s
o
lv
i
n
g
an
d
r
ewr
itin
g
th
e
u
s
u
al
D
-
D
(
d
r
if
t
-
d
if
f
u
s
io
n
)
m
o
d
el
of
ca
r
r
ier
’
s
d
en
s
ities
tak
in
g
in
to
ac
co
u
n
t
th
e
ter
m
s
d
ep
en
d
in
g
on
th
e
m
ag
n
etic
f
ield
em
itted
by
th
e
ef
f
ec
t
of
th
e
L
o
r
en
t
z
f
o
r
ce
on
th
e
ca
r
r
ier
s
.
3.
RE
SU
L
T
S
AND
D
I
SCU
SS
I
O
N
F
i
g
u
r
e
2
(
a
)
,
s
h
o
w
s
t
h
e
v
a
r
i
a
ti
o
n
of
t
h
e
h
a
l
l
v
o
l
t
a
g
e
V
H
i
n
d
u
c
ed
on
t
h
e
s
u
r
f
a
c
e
s
of
t
h
e
h
a
l
l
c
o
n
t
a
c
t
s
as
a
f
u
n
c
t
i
o
n
of
t
h
e
g
a
t
e
v
o
lt
a
g
e
s
V
G
a
p
p
l
i
e
d
to
t
h
e
g
at
e
(
G
)
f
o
r
t
h
r
e
e
v
a
l
u
es
of
t
h
e
a
p
p
li
e
d
m
a
g
n
e
t
i
c
f
i
el
d
w
h
e
n
e
x
i
s
t
e
n
ce
(
B
=+
6
a
n
d
-
6
T
e
s
la)
a
n
d
a
b
s
e
n
c
e
(
B
=
0
T
e
s
l
a
)
.
We
n
o
t
ic
e
in
t
h
e
s
t
at
i
o
n
a
r
y
s
ta
t
e
(
V
g
=
0
)
,
t
h
e
h
al
l
v
o
l
t
a
g
e
is
a
l
m
o
s
t
t
h
e
s
a
m
e
f
o
r
t
h
e
t
h
r
e
e
v
al
u
e
s
of
t
h
e
m
a
g
n
et
i
c
f
i
el
d
.
W
h
e
n
t
h
e
t
r
a
n
s
is
t
o
r
h
a
s
b
e
e
n
b
ia
s
e
d
,
t
h
e
h
a
l
l
v
o
l
t
a
g
e
i
n
c
r
e
as
e
s
or
d
e
c
r
e
a
s
es
g
r
a
d
u
a
l
l
y
a
n
d
a
s
y
m
m
e
t
r
i
c
a
l
l
y
w
it
h
r
e
s
p
e
c
t
to
t
h
e
z
e
r
o
-
f
i
e
l
d
(
B
=
0
T
e
s
la
)
d
e
p
e
n
d
i
n
g
on
t
h
e
d
i
r
e
ct
i
o
n
of
th
e
a
p
p
l
i
e
d
m
a
g
n
et
i
c
f
i
e
l
d
,
a
n
d
t
h
e
h
a
l
l
v
o
l
t
a
g
e
i
n
c
r
e
as
es
or
d
ec
r
e
a
s
es
r
a
p
i
d
l
y
f
o
r
h
i
g
h
e
r
v
a
l
u
e
s
of
g
a
t
e
v
o
l
t
a
g
e
V
G
U
n
t
i
l
s
a
t
u
r
a
ti
o
n
,
w
h
e
n
t
h
e
m
ig
r
a
t
i
o
n
of
e
l
e
c
t
r
o
n
s
on
t
h
e
h
al
l
w
a
l
ls
s
t
o
p
s
.
Fig
u
r
e
2
(
b
)
,
s
h
o
ws
th
e
v
ar
iatio
n
of
th
e
h
all
v
o
ltag
e
V
H
as
a
f
u
n
ctio
n
of
th
e
d
r
ain
cu
r
r
en
t
I
D
f
lo
win
g
u
n
d
er
th
e
d
r
ain
an
d
th
e
s
o
u
r
ce
co
n
tacts
d
ev
elo
p
ed
by
th
e
g
at
e
v
o
ltag
es
V
G
ap
p
lied
to
th
e
g
ate
co
n
tact
(
G)
f
o
r
th
r
ee
v
alu
es
of
th
e
a
p
p
lied
m
a
g
n
etic
f
ield
,
B
=+
6
,
B=
-
6
T
esla
an
d
B
=0
T
esla.
We
can
s
ee
th
at
in
th
e
q
u
iescen
t
s
tate
(
Vg
=0
)
,
th
e
h
all
v
o
ltag
e
is
alm
o
s
t
th
e
s
am
e
v
alu
e
f
o
r
a
ll
th
r
ee
v
alu
es
of
th
e
m
a
g
n
eti
c
f
ield
.
As
th
e
g
ate
v
o
ltag
e
in
cr
ea
s
es,
th
e
h
all
v
o
ltag
e
in
cr
ea
s
es
or
d
ec
r
ea
s
es
g
r
ad
u
ally
an
d
asy
m
m
etr
ically
with
r
esp
ec
t
to
th
e
ze
r
o
f
ield
(
B
=0
T
esla)
d
e
p
en
d
in
g
on
t
h
e
d
i
r
ec
tio
n
of
th
e
ap
p
lied
m
ag
n
etic
f
ield
,
an
d
th
e
h
a
ll
v
o
ltag
e
in
cr
ea
s
es
or
d
ec
r
ea
s
es
r
ap
id
ly
a
f
ter
ju
s
t
th
e
th
r
esh
o
ld
v
o
ltag
e
V
T
.
Fo
r
h
ig
h
er
v
al
u
es
of
th
e
b
ias
v
o
ltag
e
V
G
h
all
v
o
ltag
e
f
o
llo
ws
th
e
s
am
e
ev
o
lu
tio
n
u
n
til
s
tab
ilit
y
in
th
e
s
atu
r
atio
n
r
e
g
io
n
.
T
h
e
h
all
v
o
ltag
e
v
e
r
s
u
s
d
r
ain
s
v
o
ltag
e
an
d
h
all
v
o
ltag
e
v
e
r
s
u
s
d
r
ain
cu
r
r
e
n
t
ch
a
r
ac
ter
is
tics
o
f
th
e
DG
MO
SF
E
T
s
u
r
f
ac
e
r
ec
o
m
b
in
at
io
n
tr
an
s
is
to
r
is
s
h
o
wn
in
Fig
u
r
e
3
(
a)
,
an
d
Fig
u
r
e
3
(
b
)
,
r
esp
ec
tiv
ely
,
if
th
e
ca
r
r
ier
s
ar
e
d
ef
lecte
d
to
war
d
s
th
e
h
all2
r
ec
o
m
b
in
atio
n
s
u
r
f
ac
e,
th
eir
co
n
c
en
tr
atio
n
i
n
th
e
tr
an
s
is
to
r
ch
an
n
el
d
ec
r
ea
s
es
an
d
th
e
cu
r
r
en
t
also
d
ec
r
ea
s
e.
I
f
th
e
ca
r
r
ier
s
a
r
e
d
ef
lecte
d
to
war
d
s
t
h
e
h
all
1
r
ec
o
m
b
in
atio
n
s
u
r
f
ac
e,
th
eir
co
n
ce
n
tr
atio
n
in
th
e
c
h
an
n
el
o
f
th
e
t
r
an
s
is
to
r
in
cr
ea
s
es,
an
d
th
e
d
r
ain
cu
r
r
en
t
al
s
o
in
cr
ea
s
es.
T
h
is
ex
p
lain
s
th
e
d
if
f
er
en
ce
in
th
e
h
all
v
o
ltag
e
o
n
th
e
two
s
u
r
f
ac
es
o
f
th
e
h
all
1
an
d
h
all
2
co
n
ta
cts.
T
h
er
ef
o
r
e,
th
is
m
ag
n
eto
-
tr
a
n
s
is
to
r
is
s
en
s
itiv
e
to
th
e
s
ig
n
o
f
th
e
a
p
p
lied
m
a
g
n
etic
f
ield
.
Evaluation Warning : The document was created with Spire.PDF for Python.
I
SS
N
:
2
5
0
2
-
4
7
5
2
I
n
d
o
n
esian
J
E
lec
E
n
g
&
C
o
m
p
Sci,
Vo
l.
24
,
No
.
2
,
No
v
em
b
er
2
0
2
1
:
1
2
3
8
-
1
2
4
8
1242
(
a)
(
b
)
Fig
u
r
e
2.
C
h
ar
ac
ter
is
tics
of
th
e
DG
MO
SF
E
T
o
b
tain
ed
by
s
i
m
u
latio
n
;
(
a)
h
all
v
o
ltag
e
(V
H
)
v
ar
iatio
n
with
g
ate
v
o
ltag
e
wh
e
n
B
=+
6
,
-
6
T
esla
an
d
B
=0
T
esla
at
V
D
=0
.
0
5
V
an
d
(
b
)
h
all
v
o
ltag
e
V
H
v
a
r
iatio
n
with
d
r
ain
cu
r
r
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o
r
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0
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V
(
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(
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Fig
u
r
e
3.
Simu
latio
n
-
d
er
iv
e
d
DG
MO
SF
E
T
ch
ar
ac
ter
is
tics
;
(
a)
h
all
v
o
ltag
e
V
H
v
ar
iatio
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with
d
r
ain
v
o
ltag
e
(V
D
)
wh
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B
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,
-
6
T
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at
V
G
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0
5
V
an
d
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all
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V
H
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iatio
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with
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r
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c
u
r
r
en
t
I
D
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o
r
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a
r
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r
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e
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la
at
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5
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Fig
u
r
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4
(
a)
,
illu
s
tr
ates
th
e
ce
n
ter
p
o
ten
tial
in
th
e
x
-
d
ir
ec
tio
n
f
o
r
th
r
ee
v
alu
es
of
th
e
m
ag
n
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ield
.
T
h
e
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lts
ar
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n
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id
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ed
wh
en
th
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ice
is
in
th
e
on
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ate
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ies
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r
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m
0
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e
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r
ain
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is
0
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0
5
V,
h
en
ce
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lar
g
e
v
alu
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of
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cu
r
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en
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in
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e
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n
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er
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ate
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W
h
en
th
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ain
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s
o
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r
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r
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e
n
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em
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d
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a
m
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etic
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r
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a
h
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f
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ec
t
ap
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ic
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er
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n
ce
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e
twee
n
th
e
two
co
n
tact
h
all
s
u
r
f
ac
es
Fig
u
r
e
4
(
a)
,
an
d
a
tr
an
s
v
e
r
s
e
elec
tr
ic
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ield
in
th
e
x
-
d
ir
ec
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n
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th
e
s
ilico
n
ch
an
n
el
Fig
u
r
e
4
(
b
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.
(
a)
(
b
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Fig
u
r
e
4.
Simu
latio
n
ch
ar
ac
ter
is
tics
o
b
tain
ed
f
r
o
m
th
e
DG
MO
SF
E
T
tr
an
s
is
to
r
;
(
a)
c
en
ter
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o
ten
tial
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n
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th
e
ch
an
n
el
len
g
th
in
th
e
x
-
d
i
r
ec
tio
n
f
o
r
th
r
ee
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alu
es
of
m
ag
n
eti
c
f
ield
B
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6
,
-
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an
d
B
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T
es
la
at
th
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ar
io
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s
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ate
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o
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ce
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G
an
d
V
D
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5
V
a
n
d
(
b
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e
lectr
ic
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ield
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n
g
t
h
e
ch
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n
el
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th
in
th
e
x
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ir
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o
r
th
r
ee
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ag
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ield
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io
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ate
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r
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ltag
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s
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G
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d
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D
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0
5
V
Evaluation Warning : The document was created with Spire.PDF for Python.
I
n
d
o
n
esian
J
E
lec
E
n
g
&
C
o
m
p
Sci
I
SS
N:
2502
-
4
7
5
2
Ma
g
n
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s
itivity m
o
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f d
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l
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a
te
MOS
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(
M
o
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1243
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Fig
u
r
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5
(
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a
n
d
Fig
u
r
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5
(
b
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r
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ax
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,
illu
s
tr
ated
in
Fig
u
r
e
6
(
a
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,
a
n
d
a
d
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s
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Fig
u
r
e
6
(
b
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(
a)
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b
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Fig
u
r
e
5.
C
h
ar
ac
ter
is
tics
of
th
e
DG
MO
SF
E
T
o
b
tain
ed
by
s
i
m
u
latio
n
;
(
a)
e
lectr
o
n
m
o
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ilit
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g
th
e
ch
a
n
n
el
len
g
th
in
th
e
x
-
d
i
r
ec
tio
n
f
o
r
th
r
ee
v
alu
es
of
m
ag
n
etic
f
ield
B
=+
6
,
-
6,
an
d
B
=0
T
esla
at
th
e
v
ar
io
u
s
g
ate
to
s
o
u
r
ce
v
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es
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G
an
d
V
D
=0
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0
5
V
an
d
(
b
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e
lectr
o
n
v
elo
city
alo
n
g
th
e
c
h
an
n
el
le
n
g
th
in
th
e
x
-
d
ir
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n
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o
r
th
r
ee
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of
m
ag
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ield
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d
B
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T
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ate
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an
d
V
D
=0
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0
5
V
(
a)
(
b
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Fig
u
r
e
6.
Simu
latio
n
-
d
er
iv
e
d
DG
MO
SF
E
T
ch
ar
ac
ter
is
tics
;
(
a)
t
o
tal
cu
r
r
en
t
d
e
n
s
ity
alo
n
g
th
e
ch
an
n
el
le
n
g
th
in
th
e
x
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d
ir
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n
f
o
r
th
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v
al
u
es
of
m
ag
n
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f
ield
B
=+
6
,
-
6,
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d
B
=0
T
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ate
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d
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5
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a
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d
(
b
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ield
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d
B
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Fig
u
r
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s
7
(
a)
,
an
d
7
(
b
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,
illu
s
tr
ates
th
e
en
er
g
y
b
a
n
d
d
iag
r
am
of
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SF
E
T
tr
an
s
is
to
r
.
T
h
e
b
an
d
d
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r
am
s
ar
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g
th
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ch
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n
el
in
th
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x
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o
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win
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th
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ield
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.
T
h
e
two
b
an
d
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r
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s
s
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.
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d
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r
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n
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en
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d
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0
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to
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th
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is
0
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0
5
V,
Hen
ce
an
in
c
r
ea
s
ed
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alu
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of
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n
t
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ate
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eg
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.
Als
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f
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if
ts
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ield
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of
th
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ity
,
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=0
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esla,
6
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d
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6
T
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ar
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s
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wn
in
Fig
u
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8
(
a)
.
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t
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e
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ield
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all1
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v
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p
er
Evaluation Warning : The document was created with Spire.PDF for Python.
I
SS
N
:
2
5
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I
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&
C
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1244
u
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ch
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n
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s
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wn
in
Fig
u
r
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8
(
b
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d
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ite.
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s
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m
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e
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s
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th
e
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r
ain
c
u
r
r
en
t
I
D
t
o
in
cr
ea
s
e.
(
a)
(
b
)
Fig
u
r
e
7.
Simu
latio
n
ch
ar
ac
ter
is
tics
o
b
tain
ed
f
r
o
m
th
e
DG
MO
SF
E
T
tr
an
s
is
to
r
;
(
a)
c
o
n
d
u
ct
io
n
b
an
d
en
er
g
y
alo
n
g
th
e
c
h
an
n
el
le
n
g
th
in
th
e
x
-
d
ir
ec
tio
n
f
o
r
th
r
ee
v
alu
es
of
m
ag
n
etic
f
ield
B
=+
6
,
-
6,
an
d
B
=0
T
esla
at
th
e
v
ar
io
u
s
g
ate
to
s
o
u
r
ce
v
o
ltag
e
s
V
G
an
d
V
D
=0
.
0
5
V
a
n
d
(
b
)
v
alen
ce
b
an
d
en
er
g
y
alo
n
g
th
e
ch
an
n
el
len
g
th
in
th
e
x
-
d
ir
ec
tio
n
f
o
r
th
r
ee
v
alu
e
s
of
m
ag
n
etic
f
ield
B
=+
6
,
-
6,
an
d
B
=0
T
esla
at
th
e
v
ar
i
o
u
s
g
ate
to
s
o
u
r
ce
v
o
ltag
es
V
G
an
d
V
D
=0
.
0
5
V.
(
a)
(
b
)
Fig
u
r
e
8.
Simu
latio
n
-
d
er
iv
e
d
DG
MO
SF
E
T
ch
ar
ac
ter
is
tics
;
(
a)
d
r
ain
cu
r
r
e
n
t
(I
D
)
ag
ain
s
t
d
r
ain
v
o
ltag
e
(V
D
)
wh
en
B
=+
6
,
-
6
T
esla
an
d
B
=0
T
esla
at
V
G
=0
.
5
V,
af
ter
[
1
7
]
an
d
(
b
)
v
alen
ce
b
an
d
en
er
g
y
a
lo
n
g
th
e
c
h
an
n
el
len
g
th
in
th
e
x
-
d
i
r
ec
tio
n
f
o
r
th
r
ee
v
alu
es
of
m
ag
n
etic
f
ield
B
=+
6
,
-
6,
an
d
B
=0
T
esla
at
th
e
v
ar
io
u
s
g
ate
to
s
o
u
r
ce
v
o
ltag
es
V
G
an
d
V
D
=0
.
0
5
V
Fig
u
r
e
9
(
a
)
,
s
h
o
ws
a
p
r
o
p
o
r
tio
n
ality
of
an
im
b
alan
ce
of
th
e
d
r
ain
cu
r
r
en
t
I
D
as
a
f
u
n
cti
o
n
of
th
e
d
ir
ec
tio
n
of
ap
p
lied
m
ag
n
etic
f
ield
B,
f
o
r
th
e
d
if
f
er
en
t
v
alu
es
of
th
e
d
r
ain
v
o
ltag
e
V
D
=0
.
1
V,
V
D
=0
.
5
V,
an
d
V
D
=1
V.
No
te
th
at
th
er
e
is
a
s
ig
n
if
ican
t
d
if
f
er
en
ce
in
s
en
s
itiv
ity
f
o
r
th
e
h
ig
h
er
d
r
a
in
v
o
ltag
es
wh
ich
co
r
r
esp
o
n
d
s
to
th
e
s
atu
r
atio
n
r
eg
io
n
of
th
e
I
D
vs
V
D
cu
r
v
e
Fig
u
r
e
8
(
a)
.
T
h
e
d
i
f
f
er
en
ce
is
a
little
less
in
th
e
r
eg
io
n
of
th
e
th
r
esh
o
ld
v
o
lt
ag
e
V
T
=
0
.
4
4
0
7
2
V
at
B
=0
T
e
s
la0
,
but
t
h
e
d
if
f
er
en
ce
is
a
lm
o
s
t
n
eg
lig
ib
le
if
o
b
s
er
v
ed
at
t
h
e
s
m
allest
d
r
ain
v
o
ltag
es
V
D
.
T
h
e
r
esu
lt
is
o
b
ta
in
ed
by
th
e
ex
p
er
im
en
tal
wo
r
k
of
[
1
7
]
,
[
1
8
]
.
T
h
e
s
en
s
itiv
ity
of
th
e
d
ev
ice
f
o
r
b
o
t
h
ch
a
n
n
els
h
as
b
ee
n
ev
alu
ated
a
n
d
t
h
e
r
esu
lts
ar
e
s
h
o
wn
in
Fig
u
r
e
9
(
b
)
.
Her
e
Fig
u
r
e
9
(
b
)
.
I
llu
s
tr
ates
a
p
r
o
p
o
r
tio
n
al
s
en
s
itiv
ity
,
b
etwe
en
th
e
d
i
f
f
er
en
ce
of
th
e
Hall
v
o
ltag
e
as
a
f
u
n
ctio
n
of
th
e
d
ir
ec
tio
n
of
ap
p
lied
m
ag
n
etic
f
ield
f
o
r
t
h
e
d
if
f
er
e
n
t
v
alu
es
of
th
e
g
ate
v
o
ltag
e
Vg
=0
.
1
V,
Vg
=0
.
5
V,
a
n
d
Vg
=
1
V
o
b
tain
e
d
in
Fig
u
r
e
2
(
a
)
.
T
h
er
e
is
a
s
ig
n
if
ican
t
d
if
f
e
r
en
ce
in
s
en
s
itiv
ity
f
o
r
th
e
d
if
f
er
en
t
g
ate
v
o
ltag
es,
b
u
t
th
e
h
i
g
h
d
if
f
er
en
ce
is
o
b
s
er
v
e
d
at
g
ate
v
o
l
tag
es
n
ea
r
th
e
th
r
esh
o
ld
v
o
ltag
e
V
T
=
0
.
4
4
0
7
2
V
at
B
=0
T
esla.
Evaluation Warning : The document was created with Spire.PDF for Python.
I
n
d
o
n
esian
J
E
lec
E
n
g
&
C
o
m
p
Sci
I
SS
N:
2502
-
4
7
5
2
Ma
g
n
etic
s
en
s
itivity m
o
d
elin
g
o
f d
u
a
l
g
a
te
MOS
tr
a
n
s
is
to
r
(
M
o
h
a
med
K
ess
i
)
1245
(
a)
(
b
)
Fig
u
r
e
9.
Simu
latio
n
ch
ar
ac
ter
is
tics
o
b
tain
ed
f
r
o
m
th
e
DG
MO
SF
E
T
tr
an
s
is
to
r
;
(
a)
d
r
ain
cu
r
r
en
t
I
D
im
b
ala
n
ce
Δ
I
D
=I
D1
-
I
D2
ag
ain
s
t
m
ag
n
etics
f
ield
an
d
(
b
)
h
all
v
o
ltag
e
d
if
f
e
r
en
ce
ΔV
H
=V
H1
-
V
H2
v
er
s
u
s
m
ag
n
etics
f
ield
3
.
1
.
DG
M
O
SFET
perf
o
rm
a
nce
a
na
ly
s
is
T
h
e
p
er
f
o
r
m
a
n
ce
of
th
e
MO
S
FET
cir
cu
its
was
also
an
aly
ze
d
an
d
ch
ar
ac
ter
ized
in
th
e
s
u
b
-
th
r
esh
o
ld
r
eg
io
n
,
w
h
er
e
th
e
s
o
u
r
ce
g
ate
v
o
ltag
e
V
G
was
v
ar
ied
,
wh
ile
th
e
s
o
u
r
ce
-
d
r
ain
v
o
ltag
e
V
D
w
as
m
ain
tain
ed
at
50
m
V.
Fro
m
t
h
ese
co
n
d
itio
n
s
,
we
ca
lcu
late
th
e
d
i
f
f
er
en
t
p
e
r
f
o
r
m
a
n
ce
p
a
r
am
eter
s
of
th
e
DG
MO
SF
E
T
,
th
e
th
r
esh
o
ld
v
o
ltag
e
(V
T
),
ON
cu
r
r
en
t
(I
ON
),
s
u
b
th
r
esh
o
l
d
leak
ag
e
cu
r
r
e
n
t
(I
OF
),
(I
ON
/
I
OF
)
r
atio
,
an
d
th
e
m
ax
im
u
m
of
th
e
m
ag
n
eto
-
tr
a
n
s
co
n
d
u
ctan
ce
(g
mm
).
T
h
ese
p
ar
am
eter
s
ar
e
v
er
y
im
p
o
r
tan
t
f
o
r
th
e
o
p
er
atio
n
of
an
alo
g
cir
cu
its
s
in
ce
in
th
is
m
o
d
e
of
o
p
er
atio
n
th
e
tr
a
n
s
is
to
r
co
n
s
u
m
es
less
en
er
g
y
[
2
9
]
,
[
3
0
]
.
In
F
ig
u
r
e
1
0
,
th
e
s
o
u
r
ce
-
d
r
ain
cu
r
r
en
t
I
D
was
ev
alu
ated
f
o
r
th
r
ee
m
ag
n
etic
f
ield
v
alu
es,
at
B
=0
T
an
d
with
in
th
e
m
ag
n
etic
f
ield
,
B
=+
6
T
an
d
B=
-
6T
was
f
o
u
n
d
to
h
av
e
th
e
s
am
e
b
e
h
av
io
r
f
o
r
b
o
th
d
ir
ec
tio
n
s
o
r
ien
tatio
n
of
t
h
e
m
ag
n
etic
f
i
eld
(
p
o
s
itiv
e
an
d
n
e
g
ativ
e)
so
th
at
th
e
s
o
u
r
ce
-
d
r
ai
n
cu
r
r
e
n
t
in
th
e
s
u
b
-
th
r
esh
o
ld
r
eg
io
n
an
d
s
ee
m
s
a
little
s
en
s
itiv
e
co
m
p
ar
ed
to
th
e
s
atu
r
atio
n
r
eg
io
n
.
T
h
e
r
esu
lt
s
h
o
ws
t
h
at
th
e
s
o
u
r
ce
d
r
ain
cu
r
r
en
t
I
D
is
d
ep
en
d
en
t
on
th
e
f
ield
s
tr
en
g
th
a
n
d
in
d
e
p
en
d
en
t
of
th
e
d
ir
ec
tio
n
of
m
a
g
n
e
tic
f
ield
o
r
ien
tatio
n
[
1
3
]
,
[
2
0
]
in
ex
p
er
im
en
tal
s
tu
d
ies.
It
is
th
e
s
am
e
b
eh
av
i
o
r
f
o
r
th
e
m
ax
im
u
m
of
th
e
m
ag
n
e
to
-
tr
an
s
co
n
d
u
ctan
ce
illu
s
tr
ated
in
F
ig
u
r
e
1
1
.
T
h
is
s
h
o
ws
th
at
th
e
m
ax
im
u
m
of
t
h
e
m
ag
n
eto
-
tr
an
s
co
n
d
u
ctan
ce
d
e
cr
ea
s
es
f
o
r
th
e
two
o
r
ien
tatio
n
s
of
t
h
e
m
ag
n
etic
f
i
eld
with
r
esp
ec
t
to
0
tesl
a
[
2
0
]
.
(
a)
(
b
)
Fig
u
r
e
10.
Simu
latio
n
r
esu
lts
f
r
o
m
th
e
DG
MO
SF
E
T
tr
an
s
is
to
r
;
(
a)
d
r
ain
c
u
r
r
en
t
I
D
ag
ain
s
t
g
ate
to
s
o
u
r
ce
v
o
ltag
e
(V
G
)
wh
en
B
=+
6
,
-
6
T
esla
an
d
B
=0
T
esla
at
V
D
=0
.
0
5
V,
af
ter
[6
]
,
[
7
]
,
[
31]
an
d
(
b
)
z
oom
in
,
on
Fig
u
r
e
10
T
h
e
s
en
s
itiv
ity
o
f
th
e
two
p
ar
am
eter
s
,
th
e
d
r
ain
cu
r
r
en
t
at
th
e
th
r
esh
o
ld
v
o
ltag
e
V
TH
an
d
th
e
m
ax
im
u
m
o
f
th
e
m
a
g
n
eto
-
t
r
a
n
s
co
n
d
u
ctan
ce
ar
e
ev
alu
ated
as
a
f
u
n
ctio
n
o
f
th
e
m
ag
n
etic
f
ield
B
,
w
h
ic
h
ar
e
p
r
esen
ted
in
Fig
u
r
e
1
2
(
a)
,
an
d
Fig
u
r
e
1
2
(
b
)
.
R
esp
ec
tiv
ely
,
th
e
r
esu
lt
illu
s
tr
ates
a
s
ig
n
if
ican
t
d
ec
r
ea
s
e
in
th
e
two
p
ar
am
eter
s
s
tu
d
ied
.
T
h
e
r
ed
u
ctio
n
in
d
r
ain
c
u
r
r
e
n
t
at
t
h
e
th
r
esh
o
ld
v
o
ltag
e
co
n
f
ir
m
s
t
h
e
r
ed
u
ctio
n
o
f
th
e
th
r
esh
o
ld
v
o
ltag
e
as a
f
u
n
ctio
n
o
f
th
e
m
a
g
n
etic
f
ield
s
h
o
wn
i
n
Fig
u
r
e
1
3
(
a)
.
T
h
e
s
en
s
itiv
ity
o
f
t
h
e
th
r
esh
o
ld
v
o
ltag
e
V
T
a
n
d
th
e
(
I
o
n
/
I
o
f
)
r
atio
c
o
n
s
id
er
ed
a
s
ess
en
tial
p
er
f
o
r
m
an
ce
p
ar
a
m
eter
s
o
f
th
e
MO
SF
E
T
tr
an
s
i
s
to
r
is
ev
alu
ated
as
a
f
u
n
ctio
n
o
f
th
e
m
a
g
n
etic
f
ield
,
an
d
th
e
r
esu
lts
ar
e
s
h
o
wn
in
Fig
u
r
e
1
3
(
a)
.
Her
e
,
Fig
u
r
e
1
3
(
b
)
,
s
h
o
ws
th
at
th
e
th
r
esh
o
ld
v
o
ltag
e
V
T
is
r
ed
u
ce
d
Evaluation Warning : The document was created with Spire.PDF for Python.
I
SS
N
:
2
5
0
2
-
4
7
5
2
I
n
d
o
n
esian
J
E
lec
E
n
g
&
C
o
m
p
Sci,
Vo
l.
24
,
No
.
2
,
No
v
em
b
er
2
0
2
1
:
1
2
3
8
-
1
2
4
8
1246
d
ep
en
d
i
n
g
o
n
th
e
ap
p
lied
m
ag
n
etic
f
ield
,
wh
ich
will a
f
f
ec
t t
h
e
ap
p
lied
s
witch
in
g
g
ate
v
o
lt
ag
es,
n
o
tin
g
t
h
at
th
e
th
r
esh
o
ld
v
o
ltag
e
is
r
ed
u
ce
d
b
y
1
0
-
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CO
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is
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n
d
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r
a
b
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f
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a
t
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p
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d
(
B
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,
w
h
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h
is
one
of
t
o
d
a
y
'
s
r
e
q
u
i
r
e
m
e
n
ts
f
o
r
C
M
OS
te
c
h
n
o
l
o
g
y
.
As
a
p
e
r
s
p
e
c
t
i
v
e
of
t
h
i
s
w
o
r
k
,
we
b
e
g
a
n
to
s
t
u
d
y
t
h
e
d
i
f
f
e
r
e
n
t
s
o
l
u
ti
o
n
s
to
be
d
e
v
e
l
o
p
e
d
to
r
e
m
e
d
y
its
c
o
n
t
r
o
ll
e
d
p
a
r
a
s
i
t
es
,
q
u
a
n
t
i
f
i
e
d
in
o
r
d
e
r
to
r
e
d
u
c
e
th
e
m
(
o
r
e
v
e
n
e
l
i
m
i
n
a
t
e
t
h
e
m
)
.
RE
F
E
R
E
NC
E
S
[1
]
F.
G.
Wi
c
k
,
“
S
o
m
e
El
e
c
tri
c
a
l
P
r
o
p
e
rti
e
s
of
S
il
ico
n
,”
P
h
y
sic
a
l
Re
v
iew
J
o
u
rn
a
ls
Arc
h
ive
,
v
o
l.
2
7
,
no
.
1,
Ju
l
y
1
9
0
8
,
doi
:
1
0
.
1
1
0
3
/P
h
y
sRe
v
S
e
ries
I.
2
7
.
1
1
.
[2
]
W
.
S
h
o
c
k
ley
a
n
d
G.
P
e
a
rso
n
,
“
M
e
a
su
re
m
e
n
t
of
Ha
ll
Eff
e
c
t
a
n
d
Re
sistiv
it
y
of
G
e
rm
a
n
iu
m
a
n
d
S
i
li
c
o
n
fro
m
10
to
600
K
,”
Ph
y
sic
.
Rev
.
,
v
o
l.
7
1
,
n
o
.
142
,
p
.
1
2
9
,
1
9
4
7
.
[3
]
E.
H.
P
u
tl
e
y
a
n
d
W.
H.
M
it
c
h
e
ll
,
“
Th
e
e
lec
tri
c
a
l
c
o
n
d
u
c
ti
v
it
y
a
n
d
h
a
ll
e
ffe
c
t
of
sili
c
o
n
,”
P
h
y
s
.
Soc
.
Pro
c
.
,
v
o
l.
72
,
n
o
.
2
,
p
p
.
1
9
3
-
2
0
0
,
1
9
5
8
.
[4
]
W
.
S
h
o
c
k
ley
a
n
d
G.
P
e
a
rso
n
,
“
Th
e
e
ffe
c
t
of
h
ig
h
m
a
g
n
e
ti
c
f
ield
s
on
j
u
n
c
ti
o
n
field
e
ffe
c
t
tr
a
n
sisto
r
d
e
v
ice
p
e
rfo
rm
a
n
c
e
,”
AIP
Rev
iew
of
S
c
ie
n
ti
fi
c
I
n
stru
me
n
ts
,
v
o
l.
69
,
n
o
.
1
,
Ju
n
e
1
9
9
8
,
d
o
i
:
1
0
.
1
0
6
3
/
1
.
1
1
4
8
5
1
7
.
[5
]
P.
P
h
o
t
h
ima
t
a
n
d
M.
Aw
ip
i
,
“
Ef
fe
c
t
of
Hig
h
M
a
g
n
e
t
ic
F
ield
on
Tran
sisto
r
Ch
a
ra
c
teristics
With
Ap
p
li
c
a
ti
o
n
s
to
S
EU
Tes
ti
n
g
,
”
Pro
c
e
e
d
in
g
s
IEE
E
S
o
u
t
h
e
a
stc
o
n
'9
8
'En
g
i
n
e
e
rin
g
fo
r
a
Ne
w
Er
a
'
,
IEE
E
X
p
lo
re
,
Au
g
u
st
2
0
0
2
,
doi
:
1
0
.
1
1
0
9
/S
ECON.
1
9
9
8
.
6
7
3
3
6
5
.
[6
]
H
-
C.
Ch
o
w,
P.
C
h
a
tt
e
rjee
,
a
n
d
W
-
S
F
e
n
g
,
“
A
S
imp
le
Dra
in
C
u
r
re
n
t
M
o
d
e
l
fo
r
M
OS
Tran
sisto
rs
with
t
h
e
L
o
re
n
tz
F
o
rc
e
Eff
e
c
t
,”
Ph
y
sic
a
l
S
e
n
so
rs
,
v
o
l.
1
7
,
no.
6,
M
a
y
2
0
1
7
,
d
o
i:
1
0
.
3
3
9
0
/s1
7
0
6
1
1
9
9
.
[7
]
P.
Ch
a
tt
e
rjee
,
H
-
C.
C
h
o
w
,
a
n
d
W
-
S.
F
e
n
g
,
“
Dra
in
C
u
rre
n
t
M
o
d
u
latio
n
of
a
S
in
g
le
Dra
in
M
OSF
ET
by
L
o
re
n
tz
F
o
rc
e
fo
r
M
a
g
n
e
ti
c
S
e
n
sin
g
Ap
p
l
ica
ti
o
n
,”
P
h
y
sic
a
l
S
e
n
so
rs
,
v
o
l
.
1
6
,
n
o
.
9,
A
u
g
u
st
2
0
1
6
,
d
o
i:
1
0
.
3
3
9
0
/s1
6
0
9
1
3
8
9
.
[8
]
R.
S.
P
o
p
o
v
ic,
“
Ha
ll
Ef
fec
t
De
v
ice
s
,”
S
e
c
o
n
d
E
d
.
,
Bristo
l
P
h
il
a
d
e
lp
h
ia:
In
sti
tu
te
of
P
h
y
sic
s
P
u
b
l
ish
i
n
g
,
2
0
0
4
.
[9
]
S.
M.
S
z
e
a
n
d
Kw
o
k
K.
Ng
,
“
Ph
y
sic
s
of
S
e
mic
o
n
d
u
c
t
o
r
De
v
ice
s
,”
Ne
w
Yo
rk
:
Wi
ley
,
F
irst
p
u
b
li
sh
e
d
:
10
Ap
ril
2
0
0
6
.
C
o
p
y
ri
g
h
t
©
2
0
0
7
Jo
h
n
Wi
ley
&
S
o
n
s,
I
n
c
.
All
ri
g
h
ts
re
se
rv
e
d
.
d
o
i:
1
0
.
1
0
0
2
/0
4
7
0
0
6
8
3
2
9
.
[1
0
]
M.
Ke
ss
i,
A.
Be
n
f
d
il
a
,
a
n
d
A.
Lak
h
lef,
“
I
n
v
e
stig
a
ti
o
n
on
C
y
li
n
d
rica
l
G
a
te
-
All
-
Aro
u
n
d
(G
AA
)
Tu
n
n
e
l
F
ET
S
S
c
a
li
n
g
,
”
Pro
c
.
of
IE
EE
30
th
I
n
ter
n
a
ti
o
n
a
l
Co
n
fer
e
n
c
e
on
M
i
c
ro
e
lec
tro
n
ics
(M
IE
L
2
0
1
7
)
,
IE
EE
Xp
lo
re
:
14
De
c
e
m
b
e
r
2017,
d
o
i
:
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0
.
1
1
0
9
/M
I
EL
.
2
0
1
7
.
8
1
9
0
1
0
2
.
[1
1
]
M.
Ke
ss
i,
A.
Be
n
f
d
il
a
,
A.
Lak
h
l
e
f,
L.
Be
lh
ime
r
a
n
d
M.
Djo
u
d
e
r,
“
In
v
e
stig
a
ti
o
n
on
Bo
d
y
P
o
te
n
ti
a
l
in
C
y
li
n
d
rica
l
G
a
t
e
-
All
-
Aro
u
n
d
M
OS
F
ET
,
”
Pro
c
.
of
IEE
E
31
th
I
n
ter
n
a
ti
o
n
a
l
C
o
n
fer
e
n
c
e
on
M
icr
o
e
lec
tro
n
ics
(M
I
EL
2
0
1
9
)
,
IE
EE
Xp
lo
re
:
04
N
o
v
e
m
b
e
r
2
0
1
9
,
d
o
i
:
1
0
.
1
1
0
9
/
M
IEL
.
2
0
1
9
.
8
8
8
9
6
4
0
.
[1
2
]
Be
n
fd
il
a
,
M.
Ke
ss
i
,
a
n
d
A.
La
k
h
lef,
“
F
i
n
F
ET
v
e
rsu
s
G
AA
F
E
T
P
e
rfo
rm
a
n
c
e
s
a
n
d
P
e
rsp
e
c
ti
v
e
s
,
”
Eu
ro
p
e
a
n
M
a
ter
ia
l
Res
e
a
rc
h
S
o
c
iety
(EM
R
S
)
S
p
rin
g
M
e
e
ti
n
g
,
Co
n
fe
re
n
c
e
p
a
p
e
r,
F
ra
n
c
e
,
M
a
y
2
0
1
9
,
[1
3
]
H.
Je
n
s,
S.
Ch
risti
a
n
,
G.
P
a
sc
a
l,
G
re
in
e
r
An
d
re
a
s
,
a
n
d
Ko
rv
in
k
Ja
n
G,
“
S
u
b
t
h
re
sh
o
l
d
C
M
OS
Tran
sisto
rs
a
re
Larg
e
ly
Im
m
u
n
e
to
M
a
g
n
e
ti
c
F
ield
Eff
e
c
ts
Wh
e
n
Op
e
ra
ted
A
b
o
v
e
11
T,”
C
o
n
c
e
p
t
in
M
a
g
n
e
ti
c
Res
o
n
a
n
c
e
Pa
rt
B
,
v
o
l.
4
5
B
,
n
o
.
2
,
p
p
.
97
-
1
0
5
,
2
0
1
5
,
doi
:
1
0
.
1
0
0
2
/cm
r.
b
.
2
1
2
8
4
.
[1
4
]
D
-
V.
Ng
u
y
e
n
et
al
.
,
“
M
o
d
e
li
n
g
th
e
Eff
e
c
t
of
S
tro
n
g
M
a
g
n
e
ti
c
F
iel
d
on
n
-
ty
p
e
M
OSF
E
T
in
S
tro
n
g
I
n
v
e
rsio
n
,
”
2
0
1
8
2
5
t
h
IEE
E
I
n
ter
n
a
ti
o
n
a
l
Co
n
fer
e
n
c
e
on
El
e
c
tro
n
ics
,
Circ
u
it
s
a
n
d
S
y
ste
ms
(ICECS
)
,
IEE
E
X
p
l
o
re
:
21
Ja
n
u
a
ry
2
0
1
9
,
doi
:
1
0
.
1
1
0
9
/ICE
CS
.
2
0
1
8
.
8
6
1
7
9
2
2
.
[1
5
]
H.
Ny
q
u
ist,
“
Th
e
rm
a
l
a
g
it
a
ti
o
n
of
e
lec
tri
c
c
h
a
rg
e
in
c
o
n
d
u
c
t
o
rs
,
”
Ame
ric
a
n
Ph
y
sic
a
l
S
o
c
iety
,
v
o
l.
3
2
,
no.
1
,
Ju
ly
1
9
2
8
,
d
o
i
:
1
0
.
1
1
0
3
/P
h
y
sRe
v
.
3
2
.
1
1
0
.
[1
6
]
J.
B.
Jo
h
n
s
o
n
,
“
Th
e
rm
a
l
a
g
i
tati
o
n
of
e
lec
tri
c
it
y
in
c
o
n
d
u
c
to
rs,
”
Ame
ric
a
n
P
h
y
sic
a
l
S
o
c
iety
,
v
o
l.
3
2
,
no
.
1
,
Ju
ly
1
9
2
8
,
d
o
i
:
1
0
.
1
1
0
3
/P
h
y
sRe
v
.
3
2
.
[1
7
]
Ac
h
a
ry
y
a
,
D.
C
h
a
tt
e
rjee
,
A.
M
o
n
d
a
l
,
a
n
d
Na
y
a
n
Ba
n
e
rjee
,
“
Ex
p
e
rime
n
tal
S
tu
d
y
on
T
h
e
Eff
e
c
t
of
M
a
g
n
e
ti
c
F
iel
d
on
Cu
r
re
n
t
-
Vo
l
tag
e
Ch
a
ra
c
teristics
of
n
-
Ch
a
n
n
e
l
En
h
a
n
c
e
m
e
n
t
-
Ty
p
e
M
OSF
ET
,
”
J
o
u
rn
a
l
of
El
e
c
tro
n
De
v
ice
s
,
v
o
l.
13,
p
p
.
9
4
5
-
9
4
8
,
9
a
v
r
il
2
0
1
2
.
[1
8
]
A.
Eri
k
a
P
ó
n
d
ig
o
d
e
l
o
s,
Ed
m
u
n
d
o
A.
G
u
ti
e
rre
z
-
D,
J.
M
o
l
in
a
-
R
,
a
n
d
F
e
rn
a
n
d
o
G
u
a
rin
,
“
No
n
-
Ho
m
o
g
e
n
e
o
u
s
S
p
a
c
e
M
e
c
h
a
n
ica
l
S
train
In
d
u
c
e
s
As
y
m
m
e
tri
c
a
l
M
a
g
n
e
to
-
Tu
n
n
e
li
n
g
C
o
n
d
u
c
tan
c
e
in
M
OS
F
ET
S
,”
Pro
c
.
of
IEE
E
4
4
t
h
Eu
ro
p
e
a
n
S
o
li
d
S
t
a
te
De
v
ice
Res
e
a
rc
h
Co
n
fer
e
n
c
e
,
IEE
E
Xp
lo
re
:
06
No
v
e
m
b
e
r
2
0
1
4
,
doi
:
1
0
.
1
1
0
9
/es
sd
e
rc
.
2
0
1
4
.
6
9
4
8
7
6
5
.
[1
9
]
D.
E.
A.
G
u
ti
é
rre
z
,
A.
E.
P
ó
n
d
ig
o
d
e
l
o
s,
G
.
V.
H
.
Ve
g
a
,
R.
G
.
Ro
d
rí
g
u
e
z
,
V.
H.
Urib
e
,
G
.
O.
H
u
e
rta
,
a
n
d
R.
J.
M
o
li
n
a
,
“
Ato
m
isti
c
M
a
g
n
e
to
c
o
n
d
u
c
ta
n
c
e
Eff
e
c
ts
in
S
trai
n
e
d
F
ET
S
,”
Pr
o
c
.
of
IEE
E
2
8
th
S
y
mp
o
si
u
m
on
M
icr
o
e
lec
tro
n
ics
T
e
c
h
n
o
l
o
g
y
and
De
v
ice
s
(S
BM
icr
o
2
0
1
3
)
,
IEE
E
Xp
lo
re
:
02
De
c
e
m
b
e
r
2
0
1
3
,
d
o
i
:
1
0
.
1
1
0
9
/
S
BM
icro
.
2
0
1
3
.
6
6
7
6
1
8
1
.
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