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Title: Spin eigen-states of Dirac equation for quasi-two-dimensional electrons

Dirac equation for electrons in a potential created by quantum well is solved and the three sets of the eigen-functions are obtained. In each set the wavefunction is at the same time the eigen-function of one of the three spin operators, which do not commute with each other, but do commute with the Dirac Hamiltonian. This means that the eigen-functions of Dirac equation describe three independent spin eigen-states. The energy spectrum of electrons confined by the rectangular quantum well is calculated for each of these spin states at the values of energies relevant for solid state physics. It is shown that the standard Rashba spin splitting takes place in one of such states only. In another one, 2D electron subbands remain spin degenerate, and for the third one the spin splitting is anisotropic for different directions of 2D wave vector.
Authors:
 [1] ;  [1] ;  [1] ;  [2]
  1. Bogolyubov Institute for Theoretical Physics, Metrologichna Sttr., 14-b, Kyiv, 03680 (Ukraine)
  2. (Ukraine)
Publication Date:
OSTI Identifier:
22451240
Resource Type:
Journal Article
Resource Relation:
Journal Name: Annals of Physics; Journal Volume: 361; Other Information: Copyright (c) 2015 Elsevier Science B.V., Amsterdam, The Netherlands, All rights reserved.; Country of input: International Atomic Energy Agency (IAEA)
Country of Publication:
United States
Language:
English
Subject:
71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; DIRAC EQUATION; EIGENSTATES; ELECTRONS; ENERGY SPECTRA; HAMILTONIANS; QUANTUM WELLS; SPIN; TWO-DIMENSIONAL CALCULATIONS; VECTORS; WAVE FUNCTIONS