Документ взят из кэша поисковой машины. Адрес оригинального документа : http://www.cosmos.ru/seminar/2011101821/presentation/Prudnikov.pdf Дата изменения: Mon Nov 7 21:28:11 2011 Дата индексирования: Mon Feb 4 07:08:34 2013 Кодировка: Поисковые слова: m 94

.., .., ..
. ..



Fe, Co Ni :
; ; : (d 10 ) 4-6 (d 1-2 ) , , .



: ,
, . , . , : , , , , - . .


l
Fe/Cu(001)

Fe/W(001) l Bihlmayer G., Ferriani P., Baud S., Lezaic M., Heinze S., Blugel S. // UltraThin Magnetic Films and Magnetic Nanostructures on Surfaces. NIC Symposium. 2006. ­ V. 32. ­ P.151 ­ 158.



Fe/Ag(111), Fe/Au(100), Ni/W(110), Co/Cu(100), Ni/Cu(100)
, , , , XY.

M ~ (T - T )
c





N>20-30 0.37(6), Fe, Co Ni, N< 4-6 0.13(6) Ni/W(110), Fe/W(110), Fe/Ag(111), =1/8 ; Co/Cu(100), Ni/Cu(100), Fe/Au(111) XY 0.24(7)

= 3 / 128 0.23.
2

C.A.F. Vaz, J.A.C. Bland, G. Lauhoff. Magnetism of ultrathin films // Reports on Progress in Physics 71, 5, 056501 (2008), 78 pp.




d Ni/W(110) // Phys. Rev. B. 1993. V.47. P.11571





.1. .



:
n1 , z < - D - l n , - D - l < z < -D n+ ( z ) = 2 n3 , D < z < D + h 0, |z| < D, z > D + h

(1)

n(z) :

n(z) n(z) n(z) n(z) n(z)

= n1 (1-0.5e( =0.5n1e-( =0.5n1e-( =0.5n1e-( =0.5n1e-(

z+D+l)

z+D+l) z+D+l) z+D+l) z+D+l)

) +0.5n e ( e -1) +0.5n e (1-e ) , +n (1-0.5e -0.5e ) +0.5n e (1-e ) , +0.5n e (1-e ) +0.5n e (1-e ) , +0.5n e (1-e ) +n (1-0.5e -0.5e ) , +0.5n e (1-e ) +0.5n e ( e -1) ,
(z+D) -h (z-D) -h 2 3 (z+D) -(z+D+l) (z-D) -h -h 2 3 -(z+D) -l (z-D) 2 3 -(z+D) -l -(z-D) h (z-D-h) 2 2 3 -(z+D) -l -(z-D) 3

z <-D-l - D-l D+h
(2)



( )
+

0 =

-

{ f [n(z, )] - f [n (z )]}d
0

z

(3)

"" f(n(z))

f [n(z)] = w0 [n( z )] + w2 [n( z ), | n( z ) | 2 ] + w4 [n( z ), | n( z ) | 4 ] - T ( sid + s m ),
- - . :

(4)

= 0 + ei + ii ,

(5)





n+ / - ( z ) = n( z
= 0,

) (1

±m 2

)

(6) (7)

= 0, m

)
3mS Tc(s m = BS (S +1) T
)



T

(s) c

T

(b) c

Z Z

su rf b u lk

(8)

BS ( x ) =

2S +1 2S +1 1 x cth x - cth 2S 2S 2S 2S

SFe1.11, SCo0.86, SNi0.30



) 2D

2T m(T ) = 1 - sh 2, 269
-4 c

(s)

T

1/ 8

(9)

) 2D Y

m(T


)

T - T = Tc(s)
(s) c

0,23

(10)

E=
ads

(0) - ()
n
a s

,

(11)

n

a s

-





= n sa / n

s1

(12)

n

s1

-

- A S Ap ' S1- p ' p 1- p

m( z

)

m [1 - = 0,5m
2

0,5m e
2

( z+D

)

[e

l

-1]+ 0,5m e
)

( z-D

)

0,5e e

( z+D

)

- 0,5e
)
- l

- ( z+D+l

0,5m e
2 - ( z+D

- ( z+D

)

2

[1
2

-e

0,5m e

- ( z+D

[1- e ]+ 0,5m e ]+ m [1- 0,5e [1 - e ]+ 0,5m
- l 3 3

]+

3

0,5m e
3

( z -D

( z-D

)

[1 - e ], [1 - e ], [1 - e ],
- h

z < -D - l - D - l < z < -D - D< z < D
(13)

)

- h

- h

- ( z-D

)

- 0,5e
)

( z - D- h

)

)

- l

3

e

- ( z -D

[e

h

-1], z > D + h

],

D < z < D+ h

m = m(T , ) p' ,
2

m = m(T , ) p
3



:

min ( , p, p ' , ) =0 min p, p ' n ( p, p ' , )
s3

(14)

( -).




.2. Fe/W(110) ) , ) 2D .




.3. () 2D .

p m

() Fe/W(110)




.4. ) Fe/Ag(111) 2D ) Fe/Au(111) 2D XY .




.5. p ) Fe/Ag(111) 2D ) Fe/Au(111) 2D XY .




.6. m ) Fe/Ag(111) ) Fe/Au(111) .



· 1) ads=1-2 eV; 2) ; 3) , .

·

·


()
+

0 =

-

{ f [n(z, )] - f [n (z )]}d
0

z

f [n( z )]= w0 [n( z )]+ w2 n( z ),|n(z

[

)|2

]+ w [n
4

(z ),|n(z )|4

]

- T ( si d + s

m

)

w0 [n( z )]= wkin + wcul + wex + wcor
wkin = 0,3 6

( ) [n (z )
2 2/3 5/3 +

+n

5/3 -

(

2 n+ (z ) n- (z ) z ) + k T + 4 F- F+

]

2

wcul = 0,5(z )n(z
wex = -0,75 (6 /
wcor

)
(z )
+ n-4
/3

)1

/3

[n

4/3 +

(z )]
)

n-1/ 3 n+ (z ) n1/ 3 n- ( z ) + = -0,056 - 0,056 1/ 3 0,079 + n- ( z ) 0,079 + n1/ 3 ( z +


()
2 2 n+ (z) n- (z) sid (z) = k T + 2 F+ F-

sm = k



n(z) [ln4 + ( 1+ m)ln( 1+ m) + ( 1 - m)ln( 1 - m)] 2
4l ) + 3c2 2 d l 4l xp - ( 1 + ) 1 - exp(- ) - 3c2 3 c1 c2

2 4d1 Z12 Z2 4l ii = 3 3 exp(- ) + 2 3 3 exp(- )1 - exp(- c1 c2 3c1 3c2 Z32 ZZ 4h 4h + 2 3 3 exp(- )1 - exp(- ) - 2 3 1 2 / 2 e c3 (c1c2 ) 3 3c3 3c3

-2 3 -2 3

2 l + D h + Z 2 Z3 exp - ( 3/ 2 3c +c (c2 c3 ) 2 3

D 4l 4h 1 - exp(- ) 1 - exp(- ) - 3c2 3c3

2 d + D + l / 2 h + D + l / 2 Z1Z3 4h 1 - exp(- + exp - ( 1 ) , 3 c1 c3 (c1c3 ) 3 / 2 3c3


()
ei =
2


2 2

2

[(n - n1 n2 (1 - e
2 1 - 2 D

- l

) - n1 n3 e
- h

- ( 2 D+l )

(1 - e

- h

))(1 -
- l / 2 - l

d 1 e

- d1 / 2 - d1

1- e

ch( rc1 )) +

+ (2n - n1 n2 - n2 n3 e + (2n - n1 n3 e
2 3 - ( 2 D +l )

(1 - e

))(1 - e (1 - e

- l

)(1 -

le
- l

1- e

ch( rc 2 )) +

- n 2 n3 e

- 2 D

- h

))(1 - e

)(1 -

he

- h / 2 - h

1- e

ch( rc3 ))],

w2 =

n = n- ,n+


/-

1 | n |2 +w2, xc [n, | n |2 ], 72 n

w2, xc [n+

A(n+ / - ) B 2 (n+ / - ) | n+ / - |2 ]= , 4/3 5/3 4/3 3 n+ / -
- A(n+/ - ) = 0.4666 + 0.3735kF2//3 (n+/ - ), +- 15 B(n+/ - ) = -0.0085 + 0.3318kF/+/ - (n+/ - ),

kF+/ - (n+/ - ) = (3 2n+/ - )1/ 3,


()
w4 ( z) = w4,kin ( z) + w4, xc ( z), w4,
kin

=

n=n- ,n+



w4, xc =

n=n- ,n+



2 n 9 2 n | n |2 1 | n |4 1.336 [ ], + - 2 3/ 2 3n 540(3 n) n 8 n n 2 -4 -0.26 n 2 2.94 10 exp(-0.2986n )( ), n

2