Anomalous Influence of an External Magnetic Field on ...

2 downloads 0 Views 415KB Size Report
the electron energy spectrum of ferromagnetic semiconductors ... We investigate the influence of magnetic field on the optical conductivity and electron spectra of.
Physics Procedia Volume 75, 2015, Pages 348–355 20th International Conference on Magnetism

          

            

 

          !"    

           

 #               

     

              

    

    $             %   

            &                       

    

  %                       

         %                   

         %                             

      

      "            

               

     

' $   ( 

         

     

 

      

         

      )  *  '++,-  *$  !  .//0- *"     ./'/- *!   .//1- *2      .///- *     ./'.- *"  .//+-3         

                               

   

        4         $$          

 %  

        

                              

    

  348



Selection and peer-review under responsibility of the Scientific Programme Committee of ICM 2015 c The Authors. Published by Elsevier B.V. 

doi:10.1016/j.phpro.2015.12.041

Anomalous

influence of an external magnetic field...

A. Povzner et al.

                )*$  !  .//0-*"   ./'/-*! .//1-*2    .///-*" .//+-3 %                                     

 

   %                         

       

                       

  *$! .//0-*"   ./'/-*" .//+-$                     

     

 

      5    *5-                

            *                -*$  !  .//0-*2      .///-*" .//+- 6          

        

                                   

 

  )    *"   ./'/-*  ./'.-3 &                                  5             * 4    -             *! .//1-*2    .///- %  

      

                 7"89:    *  ! ./'1-%        

                 $     *     ./'.-                 ;   4'-  

  =   ' .        

     #  ' .       

         .                   .      .  %                            6  *'- $      #      $     #                   = . . .  '            &  & . / %  %    *1-  &  6  =        /  $  $       $  $    '  $  $  *F-



  



     

  

    6                     

      

       A     . '  A . '  .  '  A          

  9'4'     2 A

!

. /                                  F ( .

          % G .  %              / A %   

'.

 .    (

.

          

 

"

. '.

A

A     .   / 

A '       .        



.

                  

  A    # 

.

 .

.



                                    

                     

                  A     / / . $ $ * & ) &) & &)  .   &&)         & % / ) ' .

                         B         &            A   )       A 

       A /

 ' + /    . .

   ' + /  

A   % + /  & &   &   A

   % + /  &  &   &   A + /         

  A      A &    .      

   B    .     (  2   B  A             

     .2*2  2 - 350 

Anomalous

influence of an external magnetic field...

A. Povzner et al.

 %                       

    

     

 

  *      -6         B        

                        

                                      %            H              2       2        H     ,   ! '$  $  '  ( ! ' '  (                           '  7        8  B       ,        

                 H                             *.- )  *  ./'.-*" .//+-3%  B    8  B      &            

                       I    

        $              H      

               = '   *J-  ,   '  / )  .   .     -       =   

 

  

  

 .   0     . .  (  

'.

.

/ /  . , . , -'  * * *,- - - 0      .  * * + + . .

  

             

    K*0-*> '-L*0-*>9'-       

 %                                F /  . ,*6     3 -      . . .   -'     5 2 *M- 0  .  *+4  . .   F1 . *                 N > 4'  N > 9'     - 6  



.       8O"     K*0-  L*0-  A .       . .



'.

 

      A               .2A  

   A

0    .       .      .

A

       B 

. .      

    .      .        .

A

       . A   .    .    . %           B =  

 

 

 

 .     (           .   $

            

                        *.-                           

         = . .  1 . /       7/ *  - 1  *0- .

  1   

         7           B  7       * *  ./'.-*   ! ./'1--%         

   5                                 7    $  

 7  

              6              *,-        



351

Anomalous influence of an external magnetic field...

A. Povzner et al.

         5    %                        2    *,-*M-                         K* -*  N>4'E>P'-  L* -*   N> 9'E> P'-         B  2 3      . . . Q    *   Q            *NE- -R     . . 

      5    4S

1 O

     $     

                         

         

                 *

     -   8      

             

     *     -     =





 * -  5 * -  / '    '      

5 /   

. .

. .     

 . *  -  ' ..'8 *...8 *-



*+-

*'/-

.'8    . .8  #                   *2    R   T 

.//J-                

                  *,-A '*4-  .*4-                                  $    

              8     



                                     $    

               9

/6 * - U  * - * - )  * - *   - )  * - ) *'  *   - 

*''-

9

#                 

 

                     8      

                   5    %   B                 



       

        $      

                           B          2% *   - $         5                  

            

     %     

     

                                     

   

      *+'/- #         

     

        

                 7/,MS/11(O1 $                         Q      Q   6                ( G:       =Q>'/Q>'/>' ( G> /'%             *>/( >/>/-    

   

 

      B/,M            1,MV2      

*2   R T .//J- $                    =K*-L*-K*9- L*9-*& '-$

                352 

Anomalous

influence of an external magnetic field...

A. Povzner et al.

 

         L*9-                   > 3           B  J//       *      -   A                   %  2*-                  K*-  *9-          %     

  23     K*:-  L*-   

 

                   !"# $$%$     &     #                           &     '                    ()*  +   L*9-    ,&-   

       

                   L*9- O                   

                      L*9-     K*- *&  '- R   7'S(O1     @/1J        

      

        

                  

        

   = .    # / !  :   

       4          

              





23    . / !. Q   ' /     / !   .





*'.-

$    

   * W 3-    > /   B   2 3   / Q              $          

     

                 %                                 2 3    :          *'.-             

     

    &> 2 3                        L*9-K*-  

                   2 3       X                      

           

.

. !

  

              2 3    * *'.--    *'.-                                   "                   W5       

                         

   T    

           ! !      6       

                   

    



353

Anomalous influence of an external magnetic field...

A. Povzner et al.

 

                      & 7/,MS/11(O1           8             

   M0Y 

    'J                 $ 

          

     = * -  5 * -  /6* -  $

          

    *,-    

                  *&  '-              /6 *   -                         

                            4  F/Y

F 5   %         

                                       %                 

             

      5    5 %                           

                    

       

      $                      

        2 3 

                                 "                  W5                            

  

J       % I 1'.1,./'FG!(   Z  "    T &         

T     T   2   [\Z           

         7']"(O1H[! !  3..+++*'++,-=,'1,'M 2   RT$?  (    +/,*.///-='/.M'/1. 2    2 $ 8  R   ! 8 8 T  [\Z 

        

        7'5(O1*#/11-      ^   H[7 %11JJ*.//J-=1F'1J' $_Z?! [\(           [7 8  J''*.//0-=.1J+ !  T O _    R R 7      [\( 

          

    4  %5          [ 7  9:5 . ! %  M0 *.//1-='.F   7T! [\Z 

              5JH[;!% + / .,J*./'1-=',J1',J, " $[7T  

        

         Z   

   : O

(  [;7 !%;  M0J*.//+-=/JFM'/*'. - 354 

Anomalous

influence of an external magnetic field...

A. Povzner et al.

"   _    %     2 

   [(        7/M5/1(O1        [;27'''1*./'/-=1JJ1,.          [            

           

 

      4               [7 %  ! !  JF'.*./'.-=.1,1.   



355