Spin Hall and longitudinal conductivity of a conserved spin current in two dimensional heavy-hole gases

Abstract

The spin Hall and longitudinal conductivity of a 2D heavy-hole gas with {\it k}-cubic Rashba and Dresselhaus spin-orbit interaction is studied in the ac frequency domain. Using Kubo linear-response theory and a recently proposed definition for the (conserved) spin current operator suitable for spin-3/2 holes, it is shown that the spin conductivity tensor exhibit very distinguishable features from those obtained with the standard definition of the spin current. This is due to a significant contribution of the spin-torque term arisen from the alternative definition of spin current which strongly affects the magnitude and the sign of the dynamic spin current. In the dc (free of disorder) limit, the spin Hall conductivity for only (or dominant) {\it k}-cubic Rashba coupling is ${\sigma }_{xy}^{s,z}(0)=-9e/8\pi$, whereas ${\sigma }_{xy}^{s,z}(0)=-3e/8\pi$ for only (or dominant) {\it k}-cubic Dresselhaus coupling. Such anisotropic response is understood in terms of the absence of mapping the {\it k}-cubic Rashba $\leftrightarrow$ Dresselhaus Hamiltonians. This asymmetry is also responsible for the non-vanishing dc spin Hall conductivity (${\sigma }_{xy}^{s,z}(0)=-6e/8\pi$) when the Rashba and Dresselhaus parameters have the same strength, in contrast with its corresponding case for electrons. These results are of relevance to validate the alternative definition of spin-current through measurements in the frequency domain of the spin accumulation and/or spin currents in 2D hole gases.

12 pages, 6 figures; typos added; Recommendations from referees added. Title changed

References in corpus (22)

• Dissipationless Quantum Spin Current at Room Temperature
• Direct electronic measurement of the spin Hall effect
• Room Temperature Reversible Spin Hall Effect
• Spin current and polarization in impure 2D electron systems with spin-orbit coupling
• On A Proper Definition of Spin Current
• SU(2) Non-Abelian Holonomy and Dissipationless Spin Current in Semiconductors
• Spin relaxation and decoherence of holes in quantum dots
• Current-Induced Polarization and the Spin Hall Effect at Room Temperature
• Spin Hall effect and Berry phase in two dimensional electron gas
• Spin-Hall transport of heavy holes in III-V semiconductor quantum wells
• Dissipation effects in spin-Hall transport of electrons and holes
• Vertex Corrections on the Anomalous Hall Effect in Spin-polarized Two-dimensional Electron Gases with Rashba Spin-orbit Interaction
• Spin Hall effect of conserved current: Conditions for a nonzero spin Hall current
• Spin-Hall effect: Back to the Beginning on a Higher Level
• Conserved Spin and Orbital Angular Momentum Hall Current in a Two-Dimensional Electron System with Rashba and Dresselhaus Spin-orbit Coupling
• Theory of conserved spin current and its application to two dimensional hole gas
• "Phase Diagram" of the Spin Hall Effect
• Spin and charge optical conductivities in spin-orbit coupled systems
• Nonvanishing spin Hall currents in the presence of magnetic impurities
• Torque and conventional spin-Hall currents in two-dimensional spin-orbit coupled systems: Universal relation and hyper-selection rule
• Spin torque contribution to the a.c. spin Hall conductivity
• Transverse force generated by an electric field and transverse charge imbalance in spin-orbit coupled systems

Cited by in corpus (16)

• Spin-orbit interactions in inversion-asymmetric 2D hole systems: a variational analysis
• Strong influence of spin-orbit coupling on magnetotransport in two-dimensional hole systems
• Emergence of the strong tunable linear Rashba spin-orbit coupling of two-dimensional hole gases in semiconductor quantum
• Conserved current of nonconserved quantities
• Detection and control of spin-orbit interactions in a GaAs hole quantum point contact
• Conserved spin current for the Mott relation
• Photoinduced spin-Hall resonance in a k^3-Rashba spin-orbit coupled two dimensional hole system
• Zitterbewegung of a heavy hole in presence of spin-orbit interactions
• Topological-Berry-phase-induced spin torque current in a two-dimensional system with generic $k$-linear spin-orbit interaction
• Polarization and third-order Hall effect in III-V semiconductor heterojunctions
• Helical currents in metallic Rashba strips
• Drude weight and optical conductivity of a two-dimensional heavy-hole gas with $k$-cubic spin-orbit interactions
• Dynamical precession of spin in the two-dimensional spin-orbit coupled systems
• Optical conductivity of a 2DEG with anisotropic Rashba interaction at the interface of LaAlO${}_3$/SrTiO${}_3$
• Impact of the $p$-cubic Dresselhaus term on the spin Hall effect
• Link of the Zitterbewegung with the spin conductivity and the spin-textures of multiband systems