Non-Abelian spin-orbit gauge: Persistent spin helix and quantum square ring

Abstract

We re-express the Rashba and Dresselhaus interactions as non-Abelian spin-orbit gauges and provide a new perspective in understanding the persistent spin helix [Phys. Rev. Lett. 97, 236601 (2006)]. A spin-orbit interacting system can be transformed into a free electron gas in the equal-strength Rashba-Dresselhaus [001] linear model, the Dresselhaus [110] linear model, and a one-dimensional system. A general tight-binding Hamiltonian for non-uniform spin-orbit interactions and hoppings along arbitrary directions, within the framework of finite difference method, is obtained. As an application based on this Hamiltonian, a quantum square ring in contact with two ideal leads is found to exhibit four states, insulating, spin-filtering, spin-flipping, and spin-keeping states.

7 pages, 3 figures

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• Manipulation of single electron spin in a GaAs quantum dot through the application of geometric phases: The Feynman disentangling technique
• Real-time dynamics of spin-dependent transport through a double-quantum-dot Aharonov-Bohm interferometer with spin-orbit interaction
• Spin and charge transport in U-shaped one-dimensional channels with spin-orbit couplings
• Hermitian spin-orbit Hamiltonians on a surface in orthogonal curvilinear coordinates: a new practical approach
• Spin-charge conversion in multiterminal Aharonov-Casher ring coupled to precessing ferromagnets: A charge conserving Floquet-nonequilibrium Green function approach
• Arbitrary qubit transformations on tuneable Rashba rings
• Spin-Orbit gauge and quantum spin Hall effect
• Impurity-induced orbital magnetization in a Rashba electron gas
• Spin edge helices in a perpendicular magnetic field
• Gauge Covariance and Spin Current Conservation in the Gauge Field Formulation of Systems with Spin-Orbit Coupling
• Gauge transformations of Spin-Orbit interactions in graphene
• Superconducting diode effect in Ising superconductors
• Exact unitary transformation for Rashba rings in magnetic and electric fields
• Perfect spin filtering device through a Mach Zehnder interferometer in GaAs/AlGaAs electron gas
• Pure Gauge Spin-Orbit Couplings
• Magnetic switching of spin-scattering centers in Dresselhaus [110] circuits
• Mach-Zehnder Interferometric device for spin filtering in a GaAs/AlGaAs electron gas
• The Aharonov Casher phase of a bipartite entanglement pair traversing a quantum square ring
• Spin polarization via decoherence in spin-orbit active media coupled to an electron reservoir