Non-Abelian gauge field theory of the spin-orbit interaction and a perfect spin filter

Abstract

We point out that the Rashba and Dresselhaus spin-orbit interactions in two dimensions can be regarded as a Yang-Mills non-Abelian gauge field. The physical field generated by the gauge field gives the electron wave function a spin-dependent phase which is frequently called the Aharonov-Casher phase. Applying on an AB ring this non-Abelian field together with the usual vector potential, we can make the interference condition completely destructive for one component of the spin while completely constructive for the other component of the spin over the entire energy range. This enables us to construct a perfect spin filter.

8 pages, 9 figures, to appear in Phys. Rev. A

References in corpus (11)

• Spin interference effects in ring conductors subject to Rashba coupling
• Spin-dependent (magneto)transport through a ring due to spin-orbit interaction
• Direct observation of the Aharonov-Casher phase
• Quantum rings as electron spin beam splitters
• Persistent spin and mass currents and Aharonov-Casher effect
• Modulating Unpolarized Current in Quantum Spintronics: Visibility of Spin-Interference Effects in Multichannel Aharonov-Casher Mesoscopic Rings
• Experimental realization of a ballistic spin interferometer based on the Rashba effect using a nanolithographically defined square loop array
• Zero-conductance resonances and spin-filtering effects in ring conductors subject to Rashba coupling
• Aharonov-Bohm Physics with Spin I: Geometric Phases in One-dimensional Ballistic Rings
• Spin Precession and Time-Reversal Symmetry Breaking in Quantum Transport of Electrons Through Mesoscopic Rings
• Aharonov-Anandan Effect Induced by Spin-Orbit Interaction and Charge-Density-Waves in Mesoscopic Rings

Cited by in corpus (67)

• Edge states and topological phases in non-Hermitian systems
• Quantum transport in Rashba spin-orbit materials: A review
• Spin-orbit coupling as a source of long-range triplet proximity effect in superconductor-ferromagnet hybrid structures
• Spin-dependent transport through a chiral molecule in the presence of spin-orbit interaction and non-unitary effects
• Equilibrium spin currents: Non-Abelian gauge invariance and color diamagnetism in condensed matter
• Non-Abelian gauge fields in the gradient expansion: generalized Boltzmann and Eilenberger equations
• Thermal Hall effect and topological edge states in a square lattice antiferromagnet
• Diffusive and precessional spin dynamics in a two-dimensional electron gas with disorder: a gauge theory view
• Filtering and analyzing mobile qubit information via Rashba-Dresselhaus-Aharonov-Bohm interferometers
• Spin filtering by a periodic nanospintronic devices
• Spin filtering due to quantum interference in periodic mesoscopic networks
• Mesoscopic rings with Spin-Orbit interactions
• Magnetoelectric effects in Josephson junctions
• Quantum ring with the Rashba spin-orbit interaction in the regime of strong light-matter coupling
• Duality of the spin and density dynamics for two-dimensional electrons with a spin-orbit coupling
• Non-Abelian spin-orbit gauge: Persistent spin helix and quantum square ring
• Resistive state of SFS Josephson junctions in the presence of moving domain walls
• Aharonov-Casher effect in Bi${}_2$Se${}_3$ square-ring interferometers
• Aharonov-Casher and spin Hall effects in two-dimensional mesoscopic ring structures with strong spin-orbit interaction
• Spin transport through a quantum network: Effects of Rashba spin orbit interaction and Aharonov-Bohm flux
• Synthetic spin-orbit interactions and magnetic fields in ring-cavity QED
• Perfect flat band with chirality and charge ordering out of strong spin-orbit interaction
• Spin Hall utilizing U(1) and SU(2) gauge fields
• Exponentially growing bulk Green functions as signature of nontrivial non-Hermitian winding number in one dimension
• Spin filtering in all-electrical three-terminal interferometers
• Renormalization of spin-rotation coupling
• Effect of spin rotation coupling on spin transport
• Inertial effect on spin orbit coupling and spin transport
• Spin dynamics of cold fermions with synthetic spin-orbit coupling
• Spin filtering in a Rashba-Dresselhaus-Aharonov-Bohm double-dot interferometer
• Spin-dependent Klein tunneling in polariton graphene with photonic spin-orbit interaction
• Universal semiclassical equations based on the quantum metric
• Real-time dynamics of spin-dependent transport through a double-quantum-dot Aharonov-Bohm interferometer with spin-orbit interaction
• Robustness of spin filtering against current leakage in a Rashba-Dresselhaus-Aharonov-Bohm interferometer
• Engineered Josephson diode effect in kinked Rashba nanochannels
• Effect of cosmic string on spin dynamics
• Spin-orbit induced equilibrium spin currents in materials
• Gauge Physics of Spin Hall Effect
• Characteristics of persistent spin current components in a quasi-periodic Fibonacci ring with spin-orbit interactions: Prediction of spin-orbit coupling and on-site energy
• Spin-current induced mechanical torque in a chiral molecular junction
• Charge and spin polarized currents in mesoscopic rings with Rashba spin-orbit interactions coupled to an electron reservoir
• Simple spin-orbit based devices for electron spin polarization
• Spin-Orbit gauge and quantum spin Hall effect
• Spin-selective localization due to intrinsic spin-orbit coupling
• Non-Abelian Aharonov-Casher Phase Factor in Mesoscopic Systems
• Electrical response of S-F-TI-S junctions on magnetic texture dynamics
• Impurity-induced orbital magnetization in a Rashba electron gas
• Spin Transport in non-inertial frame
• The non-Abelian bosonic quantum ring
• Superconducting diode effect in Ising superconductors
• Chiral tunneling in single layer graphene with Rashba spin-orbit coupling: spin currents
• Theory of spin polarization in mesoscopic spin-orbit coupling systems
• Synergetic effect of spin-orbit coupling and Zeeman splitting on the optical conductivity in the one-dimensional Hubbard model
• Perfect spin filtering device through a Mach Zehnder interferometer in GaAs/AlGaAs electron gas
• Isotropic All-electric Spin analyzer based on a quantum ring with spin-orbit coupling
• Aharonov-Casher effect and quantum transport in graphene based nano rings: A self-consistent Born approximation
• Charge dynamics and "in plane" magnetic field I: Rashba-Dresselhauss interaction, Majorana fermions and Aharonov-Casher theorems
• The Aharonov Casher phase of a bipartite entanglement pair traversing a quantum square ring
• Mach-Zehnder Interferometric device for spin filtering in a GaAs/AlGaAs electron gas
• Spin polarization via decoherence in spin-orbit active media coupled to an electron reservoir
• The curvature-induced gauge potential and the geometric momentum for a particle on a hypersphere
• Transmission of a single electron through a Berry's ring
• Anomalous currents and spontaneous vortices in spin-orbit coupled superconductors
• Anomalous Topological Bloch Oscillations under Non-Abelian Gauge Fields
• Effect of many-body quantum fluctuations on matrix Berry phases of a two-dimensional n-type semiconductor quantum dot
• SU(2) symmetry in a Hubbard model with spin-orbit coupling
• Gauging away the Stoner model: Engineering unconventional metallic ferromagnetism with artificial gauge fields