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        Semiconductor Physics, Quantum Electronics & Optoelectronics. 2008. V. 11, N 3. P. 311-313.      
 
The theorem on the spin splitting of energy levels  
within the Kildal-Bodnar model 
 
Kherson National Technical University, Department of General and Applied Physics 
24, Beryslavske Shosse, 73008 Kherson, Ukraine; e-mail: olga_dvornik@mail.ru 
  Abstract.  The semiconductor Cd 3 As 2  is known as a zero-gap material like HgTe or α-Sn 
but with the tetragonal lattice and in various crystalline forms. One of the forms has no 
symmetry center, and just this form is stable under ordinary conditions. So, every of its 
energy bands is split into a pair of spin subbands owing to the removal of the Kramers 
degeneration. The theory predicts that the total sum of all spin splittings will be equal to 
zero,  whereas  the  modeling  shows  the  peculiar  dependences  of  spin  splittings  on  the 
direction and modulus of the wave vector. 
 Keywords:   center of symmetry, spin splitting, Kramers degeneration. 
elements.
 
 
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