Gauge Physics of Spin Hall Effect

Abstract

Spin Hall effect (SHE) has been discussed in the context of Kubo formulation, geometric physics, spin orbit force, and numerous semi-classical treatments. It can be confusing if the different pictures have partial or overlapping claims of contribution to the SHE. In this article, we present a gauge-theoretic, time-momentum elucidation, which provides a general SHE equation of motion, that unifies under one theoretical framework, all contributions of SHE conductivity due to the kinetic, the spin orbit force (Yang-Mills), and the geometric (Murakami-Fujita) effects. Our work puts right an ambiguity surrounding previously partial treatments involving the Kubo, semiclassical, Berry curvatures, or the spin orbit force. The full treatment shows the Rashba 2DEG SHE conductivity to be +e/8π instead of -e/8π , and Rashba heavy hole +9e/8π instead of -9e/8π .

14 pages, 2 figures, 1 table

References in corpus (5)

• Dissipationless Quantum Spin Current at Room Temperature
• Non-Abelian gauge field theory of the spin-orbit interaction and a perfect spin filter
• Spin Hall utilizing U(1) and SU(2) gauge fields
• Spin-Orbit gauge and quantum spin Hall effect
• Topological spin-Hall current in waveguided zinc-blende semiconductors with Dresselhaus spin-orbit coupling

Cited by in corpus (5)

• Adiabatic approximation for a uniform DC electric field
• Curvature induced out of plane spin accumulation
• Spin accumulation in disordered topological insulator thin films
• Magnetic Stability for the Hatree-Fock Ground State in Two Dimensional Rashba-Gauge Electronic Systems
• Anomalous Magnetism for Dirac Electrons in Two Dimensional Rashba Systems