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 (20)

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Cited by in corpus (40)

• Nonequilibrium phenomena in high Landau levels
• Observation of a cyclotron harmonic spike in microwave-induced resistances in ultraclean GaAs/AlGaAs quantum wells
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• Resonant Phonon Scattering in Quantum Hall Systems Driven by dc Electric Fields
• Temperature Dependence of Microwave Photoresistance in 2D Electron Systems
• Giant negative magnetoresistance in high-mobility 2D electron systems
• Theory of the microwave induced zero resistance states in two-dimensional electron systems
• Giant microwave photoresistivity in a high-mobility quantum Hall system
• Role of electron-electron interactions in nonlinear transport in 2D electron systems
• Effect of microwave radiation on non-linear resistivity of a two-dimensional electron gas at large filling factors
• Polarization immunity of magnetoresistivity response under Microwave excitation
• Non-linear magnetotransport in microwave-illuminated two-dimensional electron systems
• Effect of frequency and temperature on microwave-induced magnetoresistance oscillations in two-dimensional electron systems
• Evidence for effective mass reduction in GaAs/AlGaAs quantum wells
• Microwave Photoresistance in dc-driven 2D Systems at Cyclotron Resonance Subharmonics
• Magnetoresistivity Modulated Response in Bichromatic Microwave Irradiated Two Dimensional Electron Systems
• Hall field-induced resistance oscillations in tilted magnetic fields
• Effect of a in-plane magnetic field on the microwave assisted magnetotransport in a two-dimensional electron system
• Anharmonic behavior in Microwave-driven resistivity oscillations in Hall bars
• Hall magnetoresistivity response under Microwave excitation revisited
• Multiphoton microwave photoresistance in a high-mobility two-dimensional electron gas
• Theory of the microwave-induced photocurrent and photovoltage magnetooscillations in a spatially non-uniform 2D electron gas
• Microwave-induced resistance oscillations in tilted magnetic fields
• Microwave photoresistance in a two-dimensional electron gas with separated Landau levels
• Nonlinear theory of fractional microwave-induced magnetoresistance oscillations in a dc-driven two-dimensional electron system
• Theoretical model for negative giant magnetoresistance in ultra-high-mobility 2D electron systems
• Non-linear response of a high mobility two-dimensional electron system near the second harmonic of the cyclotron resonance
• Phonon-induced resistance oscillations of two-dimensional electron systems drifting with supersonic velocities
• Nonlinear magnetoresistance of an irradiated two-dimensional electron system
• On the (circular) polarization-independence of microwave-induced resistance oscillations and zero resistance state
• Phase of phonon-induced resistance oscillations in a high-mobility two-dimensional electron gas
• Effect of parallel magnetic field on the Zero Differential Resistance State
• Spin polarized electric currents in semiconductor heterostructures induced by microwave radiation
• Magnetoplasmon resonance in 2D electron system driven into a zero-resistance state
• Arbitrary qubit transformations on tuneable Rashba rings
• Positive Quantum Magnetoresistance in Tilted Magnetic Field
• Nonlinear response in overlapping and separated Landau levels of GaAs quantum wells
• Microwave-induced zero-resistance" states and second-harmonic generation in an ultraclean two-dimensional electron gas
• Resistively detected high-order magnetoplasmons in a high-quality 2D electron gas