Spin Hall utilizing U(1) and SU(2) gauge fields

Abstract

We propose a two-dimensional electron gas (2DEG) system in which an external magnetic (B) field with a small chirality is applied to provide a topological U(1) U(1) gauge field that separates conduction electrons of opposite spins in the transverse direction. Additionally, the vertical electric (E) field in the 2DEG, together with spin-orbit coupling, produces a SU(2) gauge field which reinforces / opposes the effect of the topological gauge. The system thus provides a tunable spin Hall effect, where an applied gate voltage on the 2DEG can be used to modulate the transverse spin current. As this method leads to the enhancement or cancellation of intrinsic spin Hall, it naturally distinguishes the extrinsic from the intrinsic effect.

11 pages, 3 figures

References in corpus (10)

• Zitterbewegung of electronic wave packets in semiconductor nanostructures
• Can Non-Equilibrium Spin Hall Accumulation be Induced in Ballistic Nanostructures?
• Absence of vertex correction for the spin Hall effect in p-type semiconductors
• Non-Abelian gauge field theory of the spin-orbit interaction and a perfect spin filter
• Intrinsic Spin Hall Edges
• Spin Accumulation and Equilibrium Currents at the Edge of 2DEGs with Spin-Orbit Coupling
• Transverse Spin-Orbit Force in the Spin Hall Effect in Ballistic Semiconductor Wires
• "Phase Diagram" of the Spin Hall Effect
• Magnetic focusing of charge carriers from spin-split bands: Semiclassics of a Zitterbewegung effect
• Edge Spin Current and Spin Polarization in Quantum Hall Regime