[r]
(1)Clear
A
T, h, m, kb, chivc, chi0, epxi,
Ω
l , qd, Lx, Ly , Lz,
dt, E0, Ef, k
Α
, k
Β
, En
Α
, En
Β
, En
Η
,
nx
Α
, ny
Α
, nx
Β
, ny
Β
, nx
Η
,
ny
Η
,
i, j, l, n,
E
Α
, E
Β
, f
Α
, f
Β
, T, ND, HS, Nq,
Ω
, q1,
q2, q3, q4, d1, d2, d3, d4 , H1, H2, H3, H4, B, P, p1, p2
E
;
T
=
200;
h
=
1.054 10
-34;
m
=
6.097 10
-32;
kb
=
1.38066 10
-23;
chivc
=
10.9;
chi0
=
13.1;
epxi
=
12.5;
Ω
l
=
5.556 10
12;
qd
=
108;
Ly
=
200 10
-10;
Lz
=
100 000 10
-10;
dt
=
1.6 10
-19;
E0
=
10
-5;
Ef
=
0.5 10
-18;
k
Α =
10
9.25;
k
Β =
10
9.3556;
nx
Η =
1;
ny
Η =
1;
nx
Α
:
=
i;
ny
Α
:
=
j;
nx
Β
:
=
n;
ny
Β
:
=
l;
En
Α
@
Lx_
D
=
h
2
Pi
22 m
nx
Α
2Lx
2+
ny
Α
2 (2)E
n
Η
@Lx_D=
h
2Pi
22 m
nx
Η
2Lx
2+
ny
Η
2Ly
2;
E
n
Β
@Lx_D=
h
2Pi
22 m
nx
Β
2Lx
2+
ny
Β
2Ly
2;
E
Α
@
Lx_
D
=
h
2k
Α
22 m
+
En
Α
@
Lx
D
;
E
Β
@
Lx_
D
=
h
2k
Β
22 m
+
En
Β
@
Lx
D
;
f
Α
@
Lx_
D
=
1
ã
HEΑ@LxD-EfL
kb T
+
1
;
f
Β
@
Lx_
D
=
1
ã
HEΒ@LxD-EfL
kb T
+
1
;
ND
@
Lx_
D
=
f
Α
@
Lx
D
-
f
Β
@
Lx
D
;
HS
@
Lx_
D
=
12
2
dt
2Ω
l
ND
@
Lx
D
epxi
H
Lx Ly
L
2Lz Pi
21
chivc
-
1
chi0
;
Nq
=
1
ã
hΩl kb T
-
1
;
q1
@
Lx_,
Ω
_
D
=
k
Α
2+
2 m
h
2H
h
Ω -
h
Ω
l
+
En
Η
@
Lx
D
-
En
Α
@
Lx
DL
;
q2
@
Lx_,
Ω
_
D
=
k
Α
2+
2 m
h
2H
h
Ω +
h
Ω
l
-
En
Η
@
Lx
D
+
En
Α
@
Lx
DL
;
q3
@
Lx_,
Ω
_
D
=
k
Β
2-
2 m
h
2H
h
Ω -
h
Ω
l
+
En
Η
@
Lx
D
-
En
Β
@
Lx
DL
;
q4
@
Lx_,
Ω
_
D
=
k
Β
2-
2 m
h
2H
(3)d1
@
Lx_,Ω
_
D
=
4 Pi2nxΑ2
Lx2
+
4 Pi2nyΑ2
Ly2
+
q1
@
Lx,
Ω
D
4 Pi2nxΑ2
Lx2
+
4 Pi2nyΑ2
Ly2
+
q1
@
Lx,
Ω
D
2
+
qd
2+
2 q1
@
Lx,
Ω
D
2
I
q1
@
Lx,
Ω
D
2+
qd
2M
2;
d2
@
Lx_,Ω
_
D
=
4 Pi2nxΑ2
Lx2
+
4 Pi2nyΑ2
Ly2
+
q2
@
Lx,
Ω
D
4 Pi2nxΑ2
Lx2
+
4 Pi2nyΑ2
Ly2
+
q2
@
Lx,
Ω
D
2
+
qd
2+
2 q2
@
Lx,
Ω
D
2
I
q2
@
Lx,
Ω
D
2+
qd
2M
2;
d3
@
Lx_,Ω
_
D
=
4 Pi2 nxΒ2
Lx2
+
4 Pi2nyΒ2
Ly2
+
q3
@
Lx,
Ω
D
4 Pi2 nxΒ2
Lx2
+
4 Pi2nyΒ2
Ly2
+
q3
@
Lx,
Ω
D
2
+
qd
2+
2 q3
@
Lx,
Ω
D
2
I
q3
@
Lx,
Ω
D
2+
qd
2M
2;
d4
@
Lx_,Ω
_
D
=
4 Pi2 nxΒ2
Lx2
+
4 Pi2nyΒ2
Ly2
+
q4
@
Lx,
Ω
D
4 Pi2 nxΒ2
Lx2
+
4 Pi2nyΒ2
Ly2
+
q4
@
Lx,
Ω
D
2
+
qd
2+
2 q4
@
Lx,
Ω
D
2
I
q4
@
Lx,
Ω
D
2+
qd
2M
2;
H1
@
Lx_,
Ω
_
D
=
f
Α
@
Lx
D
1
-
1
ã
h2 q1@Lx,ΩD2
2 m +EnΗ@LxD-Ef
kb T
+
1
+
Nq
-
Nq
1
ã
h2 q1@Lx,ΩD2
2 m +EnΗ@LxD-Ef
kb T
+
1
;
H2
@
Lx_,
Ω
_
D
=
1
-
1
ã
h2 q2@Lx,ΩD2
2 m +EnΗ@LxD-Ef
kb T
+
1
H
1
-
f
Α
@
Lx
D
+
Nq
L
-
Nq f
Α
@
Lx
D
;
H3
@
Lx_,
Ω
_
D
=
1
ã
h2 q3@Lx,ΩD2
2 m +EnΗ@LxD-Ef
kb T
+
1
(4)H4
@
Lx_,
Ω
_
D
=
f
Β
@
Lx
D
1
-
1
ã
h2 q4@Lx,ΩD2
2 m +EnΗ@LxD-Ef
kb T
+
1
+
Nq
-
Nq
1
ã
h2 q4@Lx,ΩD2
2 m +EnΗ@LxD-Ef
kb T
+
1
;
B
@
Lx_,
Ω
_
D
=
HS
@
Lx
D H
d1
@
Lx,Ω
D
H1
@
Lx,
Ω
D
-
d2
@
Lx,Ω
D
H2
@
Lx,
Ω
D
+
d3
@
Lx,Ω
D
H3
@
Lx,
Ω
D
-
d4
@
Lx,Ω
D
H4
@
Lx,
Ω
DL
;
P
@
Lx_,
Ω
_
D
=
E0
2
2
Ω
â
i=1â
j=1
â
n=1
â
l=1
2
dt
2h k
Α
k
Β
m
2Lx Ly
ND
@
Lx
D
B
@
Lx,
Ω
D
H
h
Ω -
H
E
Β
@
Lx
D
-
E
Α
@
Lx
DLL
2+
B
@
Lx,
Ω
D
2;
p1
=
Plot
A9
P
A
162 10
-10,
Ω
10
15E
10
12, P
A
160 10
-10,
Ω
10
15E
10
12,
P
A
158 10
-10,
Ω
10
15E
10
12, P
A
156 10
-10,
Ω
10
15E
10
12,
P
A
154 10
-10,
Ω
10
15E
10
12, P
A
152 10
-10,
Ω
10
15E
10
12,
P
A
150 10
-10,
Ω
10
15E
10
12, P
A
148 10
-10,
Ω
10
15E
10
12,
P
A
146 10
-10,
Ω
10
15E
10
12, P
A
144 10
-10,
Ω
10
15E
10
12,
P
A
142 10
-10,
Ω
10
15E
10
12, P
A
140 10
-10,
Ω
10
15E
10
12,
P
A
138 10
-10,
Ω
10
15E
10
12, P
A
136 10
-10,
Ω
10
15E
10
12=
,
8
Ω
, 1.7 , 2.2
<E
p2
=
Plot
A9
P
A
162 10
-10,
Ω
10
15E
10
128.10, P
A
160 10
-10,
Ω
10
15E
10
126.90,
P
A
158 10
-10,
Ω
10
15E
10
126.00, P
A
156 10
-10,
Ω
10
15E
10
125.00,
P
A
154 10
-10,
Ω
10
15E
10
124.30, P
A
152 10
-10,
Ω
10
15E
10
123.70,
P
A
150 10
-10,
Ω
10
15E
10
123.20, P
A
148 10
-10,
Ω
10
15E
10
122.70,
P
A
146 10
-10,
Ω
10
15E
10
122.30, P
A
144 10
-10,
Ω
10
15E
10
121.95,
P
A
142 10
-10,
Ω
10
15E
10
121.66, P
A
140 10
-10,
Ω
10
15E
10
121.40,
P
A
138 10
-10,
Ω
10
15E
10
121.19, P
A
136 10
-10,
Ω
10
15E
10
12=
,
8
Ω
, 1.7 , 2.2
<E
(5)FindRootAPA160 10 ,Ω10 E10 6.90 3.2,8Ω, 1.876<E; FindRootAPA160 10-10,Ω1015E10126.903.2,8Ω, 2.020<E; FindRootAPA158 10-10,Ω1015E10126.00 3.2,8Ω, 1.869<E; FindRootAPA158 10-10,Ω1015E10126.003.2,8Ω, 2.022<E; FindRootAPA156 10-10,Ω1015E10125.00 3.2,8Ω, 1.863<E; FindRootAPA156 10-10,Ω1015E10125.003.2,8Ω, 2.023<E; FindRootAPA154 10-10,Ω
10
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10
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10
15E10123.70 3.2,8Ω, 1.852<E; FindRootAPA152 10-10,Ω
10
15E10123.703.2,8Ω, 2.031<E; FindRootAPA150 10-10,Ω
10
15E10123.20 3.2,8Ω, 1.842<E; FindRootAPA150 10-10,Ω
10
15E10123.203.2,8Ω, 2.037<E; FindRootAPA148 10-10,Ω
10
15E10122.70 3.2,8Ω, 1.834<E; FindRootAPA148 10-10,Ω
10
15E10122.703.2,8Ω, 2.039<E; FindRootAPA146 10-10,Ω
10
15E10122.30 3.2,8Ω, 1.822<E; FindRootAPA146 10-10,Ω
10
15E10122.303.2,8Ω, 2.046<E; FindRootAPA144 10-10,Ω
10
15E10121.95 3.2,8Ω, 1.812<E; FindRootAPA144 10-10,Ω
10
15E10121.953.2,8Ω, 2.050<E; FindRootAPA142 10-10,Ω
10
15E10121.66 3.2,8Ω, 1.798<E; FindRootAPA142 10-10,Ω
10
15E10121.663.2,8Ω, 2.057<E; FindRootAPA140 10-10,Ω
10
15E10121.40 3.2,8Ω, 1.782<E; FindRootAPA140 10-10,Ω
10
15E10121.403.2,8Ω, 2.062<E; xData=9140 10-10, 142 10-10, 144 10-10, 146 10-10, 148 10-10,
150 10-10, 152 10-10, 154 10-10, 156 10-10, 158 10-10, 160 10-10, 162 10-10 =
yData=90.37706 1015, 0.33666 1015, 0.30678 1015, 0.28405 1015, 0.26399 1015, 0.24743 1015, 0.23128 1015, 0.21698 1015, 0.20471 1015, 0.19420 1015, 0.18703 1015, 0.181264 1015= dataToPlot =TransposeB:xData 1010,
h dt
yData>F
H*ListPlot@dataToPlot ,PlotStyle -> PointSize@0.03D, AxesLabel®8"TEMPERATURE HKL ","LINEWIDTHHeVL"<D*L
ListPlotAdataToPlot , Frame®True, FrameLabel®8"Lx HmL ", "Half-Linewidth HeVL"<, PlotStyle®8PointSize@0.03D<, PlotRange®99136 10-10, 162 10-10=,80, 0.4<=E ListPlotAdataToPlot , Frame®True, FrameTicks®88True, None<,8True, None<<,
FrameLabel ®8"Kich thuoc cua day HAL", "Nua rong pho HeVL"<, PlotStyle®8PointSize@0.03D, Red<, PlotRange ®Automatic
(6)PlotStyle®8PointSize@0.03D, Red<, PlotRange ®Automatic
H*99136 10-10,162 10-10=,80,0.4<=*L, Mesh®Full, InterpolationOrder ®2, Joined®TrueE
1.8 1.9 2.0 2.1 2.2
2
1.8 1.9 2.0 2.1 2.2
2
:
500 000 000 ,
71 000 000 000
, 625 000 000
,
73 000 000 000
,
37 500 000 000
, 200 000 000
,
19 250 000 000
,
77 000 000 000
,
39 500 000 000
,
79 000 000 000
, 62 500 000
,
81 000 000 000>
(7)88140, 0.248388<,8142, 0.221775<,8144, 0.202091<,8146, 0.187118<,
8148, 0.173903<,8150, 0.162995<,8152, 0.152356<,8154, 0.142936<,
8156, 0.134853<,8158, 0.127929<,8160, 0.123206<,8162, 0.119408<<
140 145 150 155 160 0.12
0.14 0.16 0.18 0.20 0.22 0.24
Kich thuoc cua dayHAL
Nua
do
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pho
H
eV