Conserved spin Hall conductance in two dimensional electron gas in a perpendicular magnetic field

Abstract

Using the microscopic theory of the conserved spin current [Phys. Rev. Lett. \textbf{96}, 076604 (2006)], we investigate the spin Hall effect in the two dimensional electron gas system with a perpendicular magnetic field. The spin Hall conductance ${\sigma }_{\mu \nu }^s$ as a response to the electric field consists of two parts, i.e., the conventional part ${\sigma }_{\mu \nu }^{s0}$ and the spin torque dipole correction ${\sigma }_{\mu \nu }^{s\tau }$. It is shown that the spin-orbit coupling competes with Zeeman splitting by introducing additional degeneracies between different Landau levels at certain values of magnetic field. These degeneracies, if occurring at the Fermi level, turn to give rise to resonances in both ${\sigma }_{\mu \nu }^{s0}$ and ${\sigma }_{\mu \nu }^{s\tau }$ in spin Hall conductance. Remarkably, both of these two components have the same sign in the wide range of variation in the magnetic field, which result in an overall enhancement of the total spin Hall current. In particular, the magnitude of ${\sigma }_{\mu \nu }^{s\tau }$ is much larger than that of ${\sigma }_{\mu \nu }^{s0}$ around the resonance.

4 pages, 4 figures, to appear in Phys. Rev. B

References in corpus (15)

• Spintronics: Fundamentals and applications
• Spin Hall effect
• Universal Intrinsic Spin-Hall Effect
• Dissipationless Quantum Spin Current at Room Temperature
• Experimental observation of the spin-Hall effect in a two dimensional spin-orbit coupled semiconductor system
• Spatial imaging of the spin Hall effect and current-induced polarization in two-dimensional electron gases
• On A Proper Definition of Spin Current
• SU(2) Non-Abelian Holonomy and Dissipationless Spin Current in Semiconductors
• Resonant Spin Hall Conductance in Two-Dimensional Electron Systems with Rashba Interaction in a Perpendicular Magnetic Field
• The definition of the spin current: The angular spin current and its physical consequences
• The angular spin current and its physical consequences
• Intrinsic Spin and Orbital-Angular-Momentum Hall Effect
• SU(2)xU(1) unified theory for charge, orbit and spin currents
• Spin Hall effect of conserved current: Conditions for a nonzero spin Hall current
• Consistency in Formulation of Spin Current and Torque Associated with a Variance of Angular Momentum

Cited by in corpus (2)

• Magnetization in two-dimensional electron gas in a perpendicular magnetic field: the roles of edge states and spin-orbit coupling
• Photoinduced spin-Hall resonance in a k^3-Rashba spin-orbit coupled two dimensional hole system