Degenerate states of narrow semiconductor rings in the presence of spin orbit coupling: Role of time-reversal and large gauge transformations

Abstract

The electron Hamiltonian of narrow semiconductor rings with the Rashba and Dresselhaus spin orbit terms is invariant under 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 wavefunctions 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.

References in corpus (3)

• Theory of microwave-induced oscillations in the magnetoconductivity of a 2D electron gas
• Observation of Apparently Zero-Conductance States in Corbino Samples
• Radiation-Induced "Zero-Resistance State" and the Photon Assisted Transport

Cited by in corpus (16)

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• Polarization immunity of magnetoresistivity response under Microwave excitation
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• Effect of frequency and temperature on microwave-induced magnetoresistance oscillations in two-dimensional electron systems
• Microwave Photoresistance in dc-driven 2D Systems at Cyclotron Resonance Subharmonics
• Magnetoresistivity Modulated Response in Bichromatic Microwave Irradiated Two Dimensional Electron Systems
• Anharmonic behavior in Microwave-driven resistivity oscillations in Hall bars
• Hall magnetoresistivity response under Microwave excitation revisited
• Theory of the microwave-induced photocurrent and photovoltage magnetooscillations in a spatially non-uniform 2D electron gas
• Nonlinear theory of fractional microwave-induced magnetoresistance oscillations in a dc-driven two-dimensional electron system
• Nonlinear magnetoresistance of an irradiated two-dimensional electron system
• Effect of parallel magnetic field on the Zero Differential Resistance State