"Phase Diagram" of the Spin Hall Effect

Abstract

We obtain analytic formulas for the frequency-dependent spin-Hall conductivity of a two-dimensional electron gas (2DEG) in the presence of impurities, linear spin-orbit Rashba interaction, and external magnetic field perpendicular to the 2DEG. We show how different mechanisms (skew-scattering, side-jump, and spin precession) can be brought in or out of focus by changing controllable parameters such as frequency, magnetic field, and temperature. We find, in particular, that the d.c. spin Hall conductivity vanishes in the absence of a magnetic field, while a magnetic field restores the skew-scattering and side-jump contributions proportionally to the ratio of magnetic and Rashba fields.

Some typos corrected

References in corpus (6)

• Dissipationless Quantum Spin Current at Room Temperature
• Spin current and polarization in impure 2D electron systems with spin-orbit coupling
• Current-Induced Polarization and the Spin Hall Effect at Room Temperature
• Spin-Hall effect in a disordered 2D electron-system
• Intrinsic Spin Hall Effect in the presence of Extrinsic Spin-Orbit Scattering
• Spin-Hall effect in a [110] quantum well

Cited by in corpus (7)

• Tuning the Spin Hall Effect in a Two-Dimensional Electron Gas
• Spin Hall utilizing U(1) and SU(2) gauge fields
• What can we learn about the dynamics of transported spins by measuring shot noise in spin-orbit-coupled nanostructures?
• Spin-Hall Effect in A Symmetric Quantum Wells by A Random Rashba Field
• Spin and Charge Shot Noise in Mesoscopic Spin Hall Systems
• Thermally Assisted Spin Hall Effect
• 2D skew scattering in the vicinity and away from resonant scattering condition