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[r]

(1)

Clear

A

T, h, m, kb, chivc, chi0, epxi,

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,

, 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;

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

2

2 m

nx

Α

2

Lx

2

+

ny

Α

2

(2)

E

n

Η

@Lx_D

=

h

2

Pi

2

2 m

nx

Η

2

Lx

2

+

ny

Η

2

Ly

2

;

E

n

Β

@Lx_D

=

h

2

Pi

2

2 m

nx

Β

2

Lx

2

+

ny

Β

2

Ly

2

;

E

Α

@

Lx_

D

=

h

2

k

Α

2

2 m

+

En

Α

@

Lx

D

;

E

Β

@

Lx_

D

=

h

2

k

Β

2

2 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

2

l

ND

@

Lx

D

epxi

H

Lx Ly

L

2

Lz Pi

2

1

chivc

-

1

chi0

;

Nq

=

1

ã

hΩl kb T

-

1

;

q1

@

Lx_,

_

D

=

k

Α

2

+

2 m

h

2

H

h

Ω -

h

l

+

En

Η

@

Lx

D

-

En

Α

@

Lx

DL

;

q2

@

Lx_,

_

D

=

k

Α

2

+

2 m

h

2

H

h

Ω +

h

l

-

En

Η

@

Lx

D

+

En

Α

@

Lx

DL

;

q3

@

Lx_,

_

D

=

k

Β

2

-

2 m

h

2

H

h

Ω -

h

l

+

En

Η

@

Lx

D

-

En

Β

@

Lx

DL

;

q4

@

Lx_,

_

D

=

k

Β

2

-

2 m

h

2

H

(3)

d1

@

Lx_,

_

D

=

4 Pi2nxΑ2

Lx2

+

4 Pi2nyΑ2

Ly2

+

q1

@

Lx,

D

4 Pi2nxΑ2

Lx2

+

4 Pi2nyΑ2

Ly2

+

q1

@

Lx,

D

2

+

qd

2

+

2 q1

@

Lx,

D

2

I

q1

@

Lx,

D

2

+

qd

2

M

2

;

d2

@

Lx_,

_

D

=

4 Pi2nxΑ2

Lx2

+

4 Pi2nyΑ2

Ly2

+

q2

@

Lx,

D

4 Pi2nxΑ2

Lx2

+

4 Pi2nyΑ2

Ly2

+

q2

@

Lx,

D

2

+

qd

2

+

2 q2

@

Lx,

D

2

I

q2

@

Lx,

D

2

+

qd

2

M

2

;

d3

@

Lx_,

_

D

=

4 Pi2 nxΒ2

Lx2

+

4 Pi2nyΒ2

Ly2

+

q3

@

Lx,

D

4 Pi2 nxΒ2

Lx2

+

4 Pi2nyΒ2

Ly2

+

q3

@

Lx,

D

2

+

qd

2

+

2 q3

@

Lx,

D

2

I

q3

@

Lx,

D

2

+

qd

2

M

2

;

d4

@

Lx_,

_

D

=

4 Pi2 nxΒ2

Lx2

+

4 Pi2nyΒ2

Ly2

+

q4

@

Lx,

D

4 Pi2 nxΒ2

Lx2

+

4 Pi2nyΒ2

Ly2

+

q4

@

Lx,

D

2

+

qd

2

+

2 q4

@

Lx,

D

2

I

q4

@

Lx,

D

2

+

qd

2

M

2

;

H1

@

Lx_,

_

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_,

_

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_,

_

D

=

1

ã

h2 q3@Lx,ΩD2

2 m +EnΗ@LxD-Ef

kb T

+

1

(4)

H4

@

Lx_,

_

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_,

_

D

=

HS

@

Lx

D H

d1

@

Lx,

D

H1

@

Lx,

D

-

d2

@

Lx,

D

H2

@

Lx,

D

+

d3

@

Lx,

D

H3

@

Lx,

D

-

d4

@

Lx,

D

H4

@

Lx,

DL

;

P

@

Lx_,

_

D

=

E0

2

2

â

i=1

â

j=1

â

n=1

â

l=1

2

dt

2

h k

Α

k

Β

m

2

Lx Ly

ND

@

Lx

D

B

@

Lx,

D

H

h

Ω -

H

E

Β

@

Lx

D

-

E

Α

@

Lx

DLL

2

+

B

@

Lx,

D

2

;

p1

=

Plot

A9

P

A

162 10

-10

,

10

15

E

10

12

, P

A

160 10

-10

,

10

15

E

10

12

,

P

A

158 10

-10

,

10

15

E

10

12

, P

A

156 10

-10

,

10

15

E

10

12

,

P

A

154 10

-10

,

10

15

E

10

12

, P

A

152 10

-10

,

10

15

E

10

12

,

P

A

150 10

-10

,

10

15

E

10

12

, P

A

148 10

-10

,

10

15

E

10

12

,

P

A

146 10

-10

,

10

15

E

10

12

, P

A

144 10

-10

,

10

15

E

10

12

,

P

A

142 10

-10

,

10

15

E

10

12

, P

A

140 10

-10

,

10

15

E

10

12

,

P

A

138 10

-10

,

10

15

E

10

12

, P

A

136 10

-10

,

10

15

E

10

12

=

,

8

, 1.7 , 2.2

<E

p2

=

Plot

A9

P

A

162 10

-10

,

10

15

E

10

12

8.10, P

A

160 10

-10

,

10

15

E

10

12

6.90,

P

A

158 10

-10

,

10

15

E

10

12

6.00, P

A

156 10

-10

,

10

15

E

10

12

5.00,

P

A

154 10

-10

,

10

15

E

10

12

4.30, P

A

152 10

-10

,

10

15

E

10

12

3.70,

P

A

150 10

-10

,

10

15

E

10

12

3.20, P

A

148 10

-10

,

10

15

E

10

12

2.70,

P

A

146 10

-10

,

10

15

E

10

12

2.30, P

A

144 10

-10

,

10

15

E

10

12

1.95,

P

A

142 10

-10

,

10

15

E

10

12

1.66, P

A

140 10

-10

,

10

15

E

10

12

1.40,

P

A

138 10

-10

,

10

15

E

10

12

1.19, P

A

136 10

-10

,

10

15

E

10

12

=

,

8

, 1.7 , 2.2

<E

(5)

FindRootAPA160 10 ,Ω10 E10 6.90 Š3.2,8Ω, 1.876<E; FindRootAPA160 10-10,Ω1015E10126.90Š3.2,8Ω, 2.020<E; FindRootAPA158 10-10,Ω1015E10126.00 Š3.2,8Ω, 1.869<E; FindRootAPA158 10-10,Ω1015E10126.00Š3.2,8Ω, 2.022<E; FindRootAPA156 10-10,Ω1015E10125.00 Š3.2,8Ω, 1.863<E; FindRootAPA156 10-10,Ω1015E10125.00Š3.2,8Ω, 2.023<E; FindRootAPA154 10-10,Ω

10

15

E10124.30 Š3.2,8Ω, 1.860<E; FindRootAPA154 10-10,Ω

10

15

E10124.30Š3.2,8Ω, 2.024<E; FindRootAPA152 10-10,Ω

10

15

E10123.70 Š3.2,8Ω, 1.852<E; FindRootAPA152 10-10,Ω

10

15

E10123.70Š3.2,8Ω, 2.031<E; FindRootAPA150 10-10,Ω

10

15

E10123.20 Š3.2,8Ω, 1.842<E; FindRootAPA150 10-10,Ω

10

15

E10123.20Š3.2,8Ω, 2.037<E; FindRootAPA148 10-10,Ω

10

15

E10122.70 Š3.2,8Ω, 1.834<E; FindRootAPA148 10-10,Ω

10

15

E10122.70Š3.2,8Ω, 2.039<E; FindRootAPA146 10-10,Ω

10

15

E10122.30 Š3.2,8Ω, 1.822<E; FindRootAPA146 10-10,Ω

10

15

E10122.30Š3.2,8Ω, 2.046<E; FindRootAPA144 10-10,Ω

10

15

E10121.95 Š3.2,8Ω, 1.812<E; FindRootAPA144 10-10,Ω

10

15

E10121.95Š3.2,8Ω, 2.050<E; FindRootAPA142 10-10,Ω

10

15

E10121.66 Š3.2,8Ω, 1.798<E; FindRootAPA142 10-10,Ω

10

15

E10121.66Š3.2,8Ω, 2.057<E; FindRootAPA140 10-10,Ω

10

15

E10121.40 Š3.2,8Ω, 1.782<E; FindRootAPA140 10-10,Ω

10

15

E10121.40Š3.2,8Ω, 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

rong

pho

H

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