Onsager relations in a two-dimensional electron gas with spin-orbit coupling

Abstract

Theory predicts for the two-dimensional electrons gas with only Rashba spin-orbit interaction a vanishing spin Hall conductivity and at the same time a finite inverse spin Hall effect. We show how these seemingly contradictory results are compatible with the Onsager relations: the latter do hold for spin and particle (charge) currents in the two-dimensional electron gas, although (i) their form depends on the experimental setup and (ii) a vanishing bulk spin Hall conductivity does not necessarily imply a vanishing spin Hall effect. We also discuss the situation in which extrinsic spin orbit from impurities is present and the bulk spin Hall conductivity can be different from zero.

Accepted version

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• Phase-sensitive detection of spin pumping via the ac inverse spin Hall effect
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• Theory of spin magnetic quadrupole moment and temperature-gradient-induced magnetization
• Conserved current of nonconserved quantities
• Electrical spin orientation, spin-galvanic and spin-Hall effects in disordered two-dimensional systems
• Slow quenches in two-dimensional time-reversal symmetric Z2 topological insulators
• Spin accumulation without spin current
• Spin Hall conductivity in insulators with non-conserved spin
• Conserved spin current for the Mott relation
• Topological nature of the proper spin current and the spin-Hall torque
• Spin-Hall effect due to the bulk states of topological insulators: Extrinsic contribution to the conserved spin current
• Room temperature spin thermoelectrics in metallic films
• A generalized Stoner criterion and versatile spin ordering in two-dimensional spin-orbit coupled electron systems
• Effect of vertex corrections on the enhancement of Gilbert damping in spin pumping into a two-dimensional electron gas
• Spin-Hall effect in topological materials: Evaluating the proper spin current in systems with arbitrary degeneracies
• Gauge transformations of Spin-Orbit interactions in graphene
• Edelstein Effect in Isotropic and Anisotropic Rashba Models
• Dynamical Hall responses of disordered superconductors
• Probing the Spin-Momentum Locking in Rashba Surfaces via Spin Current
• Tunneling anisotropic spin galvanic effect
• The spin Hall effect
• Boltzmann theory of the inverse Edelstein effect in a two-dimensional Rashba gas
• Josephson anomalous vortices
• Dynamical Spin-Orbit-Based Spin Transistor