─юъєьхэЄ тч Є шч ъ¤°р яюшёъютющ ьр°шэ√. └фЁхё юЁшушэры№эюую фюъєьхэЄр : http://phys.msu.su/upload/iblock/1c8/2006-20-04-smekhova.pdf
─рЄр шчьхэхэш : Wed Sep 17 23:24:46 2008
─рЄр шэфхъёшЁютрэш : Mon Oct 1 21:05:13 2012
╩юфшЁютър:

..

L2,3

01.04.07 н

-

н 2006

н2н

. ..

:

- .. - ; -

. .. - , . -

" 20 " 2006 501.001.02 . .. : 119992 -2, . , , , . ,

. . . .

" 20 " 2006 .

501.001.02, -

. .

н3н

.

, : . , , , , , . , 90 , . , , (, , .). (): (XMCD XMLD), , , , (L-MOKE, T-MOKE P-MOKE). . .

н4н

. , , . , - . , , , . ,

, , , L2,3- . . . . . . , . ,

н5н

. : , . . . , , , , . , , . , , . , , .

н6н

L2,3 , D1011 - . (), [Fe(6 ML)/Co(6 ML)]50. , Fe - , , . . , . . . , , , - ~ 35 ~ 55. , : 1. , . 2. . 3.

.

н7н

4. () . 5. . . . " н 2004" (. , 2004), . XVI " н 2004" (. , 2004), IVth International school on Magnetism and Synchrotron Radiation (Mittelwihr, France, october 2004), " " (. , 2005), II , " н 2005" (. , 2005), 13 th International Congress of Thin Films and 8 th Conference on Atomically Controlled surfaces, interfaces and nanostructures (ACSIN-8/ICTF-13) (Stockholm, Sweden, june 2005), Moscow International Symposium on Magnetism (MISM) (Moscow, june 2005), 2 л- ╗ (. , 2005) " " (. , 2006). . 8 , ( ), 4 ( 13 [1 н 13]). . , , 157 , 3 , 50 , 121 .

н8н

,

, , . , , . . : . : , , ,

, , . , (XMCD) (XMLD) () . , ; л╗ , -, . , . [Fe/V]n, Ce La [Fe/Ce]n [Fe/La]n, - [Co2MnGe/Au]n .

н9н

. , . , , . . , , н , . , н , . , .

) ,
[1]:

= 1 + A + iBh т + Ch h ,

(1) , h т н

h

н

, h , , , н

н 10 н

. , ) , , , (XMCD). (XMLD).
,

, . , = (z), H t = -[q[qH ]] [q E] (

, ):
d dz ) H (z) H (z) t = ik M (z) t [q E(z)] [q E(z)] ,

( 2)

q н ( z), M н )) ) ) A B ) ) ) M = ) ) , A , B , C , D C D

. (2), ) . (z) = const , M(z) = const 44-:
H t (z ) [q E(z)] ) H t (0) = exp (ik z M) [q E(0)] . (3)

L .

. -

н 11 н

L :
H t ( D) [q E(D)] H (0) = L ( D) t [q E(0)] .

(4)

, , , ) N n [2] ( ): ) H t (z) = exp( ik z N n ) H t (0) ,

(5)

) [q E(z)] = H t (z) ,

( 6)

) . ) ) r t

:
) H t r = ) H t o , Htd = t Hto , r

(7)

o,r ,d , , (2) . , ) r :
) )) ) ) ) ) ) = [ d (L + L r ) - (L + L ) r )] - [(L + L r) 3 3 4 1 2 ) ) L i н L , ) )o )o )d ) 4 ) - (L1 + L 2 )] , (8)

л - ╗ ) . r ) R . 44- , ,

н 12 н

) ) M - = 0 M .
) N ( ▒ ) (5) n

) R n ( ), : ) Rn = r r
n - 1, n

n - 1, n

+ t

n - 1, n

r -1

n - 1, n

) ) W [(1 - W)-1] t

n - 1, n

,

(9)

t

n - 1, n

н
- 1, n

(n - 1) (n), r n

t

n - 1, n

н

,

) W = rn

- 1, n

e - ikd N

) (-) )
n

R

n +1

e ikd N

) (+)
n

.

(10)

(9) 22-, . , , , 44 L .

,

; :
0 0 1+ A + C 0 2 iB cos B 0 0 A + sin2 - 1+ A 1+ A M= , A + sin 2 iB cos - 0 0 1+ A 1+ A 0 1 0 0

(11)

н 13 н

, :
1,2 ,3,4 ▒ B cos . sin 2 + A ▒ 1+ A (12)

, s- p- , ( cos 1 ), . :

R

+

sin - sin +

sin 2 + A + B sin 2 + A + B

,

R

-

sin - sin +

sin 2 + A - B sin 2 + A - B

, (13)

- - : R+
2

- R-

2

Re A Re B + Im A Im B . 4 sin 4
-7

(14)

I m A = 1 .* 1 0

-6

I m A = 1 .* 1 0

I m A = 5 .* 1 0

-6

,

1. 0

R ..
0. 5

-

R R
+

-

R R
+

R

-

+

0. 0 0. 0 0
(R - R )/(R + R )
-

0 . 01

0. 0 2

0. 00

0 . 01

0. 0 2

0 . 00

0. 01

0. 02

0. 0 -0 . 2 -0 . 4 0. 0 0 0 . 01 0. 0 2 0. 00 0 . 01 0. 0 2 0 . 00 0. 01 0. 02

+

-

+

,

. 1. ( ) ( ) - - , . , . (ReA = -10-4, ReB = ImB = 10-6)

н 14 н

(14), . , (. . 1). /2 (cos 0) ) r s- p (. 2). : Rs 1- 1+ 1+ A , 1+ A Rp 2 (1 + )(1 - 1 + A) + (1 - 2 1 + A) . (15) 2 (1 + ) (1 + 1 + A)
B = 0, C = 0 B = 1, C = 1

0.2

0.0 -0.2 -0.4 -0.6 0
1.0

p- , .

B = 1, C = 0

30
B=0 B=1

60

90

s- p- .

0.5

н
C=0

0.0 C=1 0 30 60 90 ,

, , .

. 2. () () (L-MOKE)

( ) , .2, з5.
,

.

н 15 н

, s- p- . , . s- ( E x = s H y ) :
1,2 = ▒ sin 2 + A + C , s = ▒ 1 sin2 + A + C , (16)

s- : Rs = sin - sin + sin 2 + A + C sin 2 + A + C . (17)

p- : - E y = p H x , :

1,2

▒

sin 2 + A ,

p ▒

sin 2 + A + iBcos . 1+ A

(18)

, , p ,

E
(

X

H
Z

Y

( ):

3. (. . 3). p H, p ▒ iBcos

, (!)

н 16 н

Rp

(1 + A) sin - A + sin 2 (1 + A) sin + A + sin 2

-

2iBcos (1 + A) sin ((1 + A) sin + A + sin 2 )2

. (19)

[3, 4]. н - . .
0.4 p-

707.4 (L3 ) . 4 . +i 0.01575; = 0.00657 = -0.00214

0.0

i 0.00461 [5] K. ,

-0.4

K K K K K K K K

= = = = = = = =

-2 -1 .5 -1 -0 .5 0.5 1 1.5 2

0

30

60

90

,

35░ 55░.

. 4. - ()

,

. :

1, 3

▒

sin 2 + A + C (1 + A) ,

2,4

▒

sin 2 + A .

(20)

( ):

)

/2

- iB 1 1 2 (1 + 1 + iB 1 2 (1 + ) ,

) .

(21)

) r ,

(

н 17 н

). R▒ 1 + - (1 ▒ 1 ) AmB 1+ 2 . 2 ) 1 + + (1 ▒ 1+ (22)

0.2 B=0 0.0 B = 1, C = 1 -0.2 -0.4 B = 1, C = 0 -0.6 0 30 60 90

60%,

(. 5).

, (. . 5). -

1.0

B=0 B=1

0.5 C=0 0.0 0

C=1 30 60 90 ,

. , ,

. 5. () () ( , . 4)

,

.

[*] , , ,

н 18 н

L2,3 [Fe (6 ML)/Co (6 ML)]50, -lab . ().
,

, . : , , , , , . : , , (1), , : , , ( : , ) . . - .

(), () () L2,3 , ( , , ) : , Fe/V, Fe/Cr Fe/C. , . [5].

н 19 н

) ) = 1 + .

. 2 () 2 2 D sin 2 + ( z) dz , 0 (23)

D н , н . , Re = m . kin : M
= ( sin kin - M m ) sin kin . M 2D (24)

= R + (1 - ) N , N н , R н , н D. ( , s- p- , ) .
kin M 0.12 0.08 0.04 (24) 0.00 10 12 14 16 18 20 . , / . 6. - . [Fe/Co] ( 3.38 ), E = 706 .
0.16 : 7 , 10 ,

5

н 20 н

, л╗ ( ), , . (24) . ( ), . [6]:
( ▒ ) R = (1 / W ) ((sin din - m / 2D) sin din - N ) + N , M M

(25)

(( ▒ ) R - W=- m2

N ) sin 2 () , 2

(26)

= ( ( ▒ ) R + (1 - ) N ) , 2 = ImA , 2 = Im B cos .

Re A Re B , , ( ) Re A Re B (24) (25). [Fe/Co]N L2,3 ( 690 ┬ 730 ). [5] (..1) Co . , Re A , , ,

н 21 н

, (. 7).
. 7. Re A, Re B [5] ( ) (24) ( ) (25) ( ). [Fe/Co]50 , (D=3.38 nm, M 15o) (D=1.08 nm,

0.016 0.008 0.000

ReA

a)

0.016 0.008 0.000

ReA

)

700 0.003

720

700

720

ReB

)

0.003

ReB

)

0.000

0.000

-0.003 700 720

-0.003 700 720

,

M

54o) (, ,)

() , , (. 7), .

, . , . (. . 8), , .

н 22 н
central part of Fe layer

, . .

0,3 0,0 -0,3 -0,6 705
1 0 -1
╡c = 0,5 ╡ ╡c = 1,5 ╡
Fe

0.3 0.0 -0.3 -0.6 705
1. 5 1. 0 0. 5 0. 0
╡c = 0,5 ╡ ╡c = 1,5 ╡
Fe

0,5

1,0
in

1,5

╡

╡

Fe

Fe

Fe

720

720
╡ i = 1. 5 ╡ ╡ i = 5. 0 ╡

, . .

[ Fe/ Co] i nt er f aces

Fe Fe

1

╡

in

╡

3
Fe

5

-2 705 720

a)

-0 . 5

b) 70 5 720

,

. 8. - () () [Fe/Co] 50 3.38 L2,3 . ╡ ╡i

, ,

. [Fe(6ML)/Co(6ML)]50 ( 1.08 ) . , (B. Lindgren, G. Andersson, M. Bjork) (. 9).
. 9. L2,3 Fe [Fe(6ML) /Co(6ML)]50: () () . л╗

н 23 н

Re A exp . , M . 10, Re A [5], .
55,5 o
0 .016

o 54,0

exp M

Re A
0 .008 0 .000

52,5o

ar c s in( / 2 D )
705 72 0 ,

-0 .008

)

705 720 ,

)

. 10. () (25) Re (, ). [5] ()

,

, .
0,2 0,0 -0,2 -0,4

I
╡c= 0.5 ╡
Fe

+ int

-I

int

╡c = 2 ╡

Fe

705 720 ,

. 11. - - ( ).

, (. 11),

н 24 н

Fe [Fe(6ML)/Co(6ML)]

50

~ 2.7 ▒ 0.1 ╡ B (

╡ Fe = 2.2 ╡ B ). , .
1

44 ( ) (). 2 , 22- , 44- 22-. 3 .. .

1. , . , н , . 2. , : , . , "" , . л ╗

н 25 н

3.

, .

, . , . 4.

. , , . 5. ( L -lab
2,3

) , [Fe(6ML)/Co(6ML)]50, , -.

:
[1] .. . . : л ╗. 1976. 456. [2] .. , .. , .. . II. . // . 1976. . 25. .526 н 531. [3] H. H╞chst, D. Rioux, D. Zhao, D. Huber Magnetic linear dichroism effects in reflection spectroscopy: A case study at the Fe M2,3 edge // J. Appl. Phys. 1997. V. 81. p.7584 н 7588.

н 26 н

[4] O. Zaharko, P.M. Oppeneer, H. Grimmer, M. Horisberger, H.-Ch. Mertins, D. Abramsohn, F. Sch─fers, A. Bill, H.-B. Braun Exchange coupling in Fe/NiO/Co film studied by soft x-ray resonant magnetic reflectivity // Phys. Rev. B. 2002. V. 66. p.134406. [5] J.B. Kortright, S.-K. Kim Resonant magneto-optical properties of Fe near its 2p levels: Measurement and applications // Phys. Rev. B. 2000. V. 62. p.12216. [6] M. Sacchi Resonant magnetic scattering of polarized soft X-Rays // Rassegna Scientifica. 1999. V. 4. p.3 н 13.

:
E.A. Gan'shina, O.Yu. Gorbenko, A.G. Smekhova, A.R. Kaul, N.A. Babushkina, L.M. Belona Transverse Kerr effect in the (La1-xPrx)0.7Ca0.3MnO3 ceramics // J. Phys.: Condens. Matter. 2000. V. 12. p.2857 н 2866. [2] .. , .. // л -2004╗. . . 2004. c.138. [3] A.G. Smekhova, M.A. Andreeva About application of "the sum rules" to the X-ray resonant reflectivity spectra for magnetic multilayer investigation // Abst. IVth International school on Magnetism and Synchrotron Radiation. Mittelwihr. France. 2004. p. 33. [4] .. , .. // . . 2005. . 69. 2. .259. [5] .. , .. // л ╗. . . 2005. . 2. . 282 н 283. [6] .. " " // II , " -2005". . . 2005. . [7] M.A. Andreeva, A.G. Smekhova Theoretical analysis of the spectra of X-ray resonant magnetic reflectivity // Abstract Book of 13th International Congress of Thin Films and 8th Conference Atomically Controlled surfaces, interfaces and nanostructures (ACSIN-8/ICTF13). Stockholm. Sweden. 2005. p.118. [8] M.A. Andreeva, A.G. Smekhova, B. Lindgren, M. Bjorck, G. Andersson Depth selective investigations of magnetic multilayers by X-Ray resonant magnetic reflectivity // Book of Abstracts of Moscow International Symposium on Magnetism (MISM). Moscow. Russia. 2005. p. 237 н 238.

[1]

н 27 н

.. , .. // . , . 2006. 2. .83 н 88. [10] M.A. Andreeva, A.G. Smekhova, B. Lindgren, M. Bjorck, G. Andersson Depth selective investigations of magnetic multilayers by X-Ray resonant magnetic reflectivity // Journ. of Magn. Magn. Mater. 2006. V. 300. p.e371 н e374. [11] M.A. Andreeva, A.G. Smekhova Theoretical analysis of the spectra of X-ray resonant magnetic reflectivity // Appl. Surf. Science. 2006. in press. [12] .. , .. , .. , .. , .. , .. . . .: . 2005. 149 . [13] .. , .. , .. , . , . // X л ╗. . . 2006. . 1. c. 120 н 123.

[9]

[*] http://solst.phys.msu.ru/andreeva/index.html