Degenerate states of narrow semiconductor rings in the presence of spin-orbit coupling

Role of time-reversal and large gauge transformations

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22 Citations (Scopus)

Abstract

The electron Hamiltonian of narrow semiconductor rings with the Rashba and Dresselhaus spin-orbit terms is invariant under a time-reversal operation followed by a large gauge transformation. We find that all the eigenstates are doubly degenerate when integer or half-integer quantum fluxes thread the quantum ring. The wave functions of a degenerate pair are related to each other by the symmetry operation. These results are valid even in the presence of a disorder potential. When the Zeeman term is present only some of these degenerate levels anticross.

Original languageEnglish
Article number075315
JournalPhysical Review B - Condensed Matter and Materials Physics
Volume74
Issue number7
DOIs
Publication statusPublished - 2006 Aug 23

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Hamiltonians
Wave functions
Gages
integers
Orbits
Semiconductor materials
Fluxes
orbits
Electrons
threads
rings
eigenvectors
wave functions
disorders
symmetry
electrons

ASJC Scopus subject areas

  • Condensed Matter Physics

Cite this

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abstract = "The electron Hamiltonian of narrow semiconductor rings with the Rashba and Dresselhaus spin-orbit terms is invariant under a time-reversal operation followed by a large gauge transformation. We find that all the eigenstates are doubly degenerate when integer or half-integer quantum fluxes thread the quantum ring. The wave functions of a degenerate pair are related to each other by the symmetry operation. These results are valid even in the presence of a disorder potential. When the Zeeman term is present only some of these degenerate levels anticross.",
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AB - The electron Hamiltonian of narrow semiconductor rings with the Rashba and Dresselhaus spin-orbit terms is invariant under a time-reversal operation followed by a large gauge transformation. We find that all the eigenstates are doubly degenerate when integer or half-integer quantum fluxes thread the quantum ring. The wave functions of a degenerate pair are related to each other by the symmetry operation. These results are valid even in the presence of a disorder potential. When the Zeeman term is present only some of these degenerate levels anticross.

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