Spin Hall and spin Nernst effects in a two-dimensional electron gas with Rashba spin-orbit interaction: temperature dependence

Abstract

Using the Matsubara Green function formalism we calculate the temperature dependence of spin Hall and spin Nernst conductivities of a two-dimensional electron gas with Rashba spin-orbit interaction in the linear response regime. In the case of spin Nernst effect we also include the contribution from spin-resolved orbital magnetization, which assures correct behavior of the spin Nernst conductivity in the zero-temperature limit. Analytical formulas for the spin Hall and spin Nernst conductivities are derived in some specific situations. Using the Ioffe-Regel localization criterion, we have also estimated the range of parameters where the calculated results for the spin Hall and spin Nernst conductivities are applicable. Analytical results show that the vertex correction totally suppresses the spin Hall conductivity at arbitrary temperature. The spin Nernst conductivity, in turn, vanishes at $T=0$ when the orbital contribution is taken into account, but generally is nonzero at finite temperatures.

15 pages, 4 figures

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• Spin-dependent thermoelectric transport in HgTe/CdTe quantum wells
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Cited by in corpus (18)

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• Spin Splitting Nernst Effect in Altermagnet
• Spin accumulation without spin current
• Current-induced spin polarization of a magnetized two-dimensional electron gas with Rashba spin-orbit interaction
• Conserved spin current for the Mott relation
• Spin-resolved orbital magnetization in Rashba two-dimensional electron gas
• Thermally-induced spin polarization in a magnetized two-dimensional electron gas with Rashba spin-orbit interaction
• Intrinsic Nernst effect of the magnon orbital moment in a honeycomb ferromagnet
• Magnon gravitomagnetoelectric effect in noncentrosymmetric antiferromagnetic insulators
• Spin-Nernst Effect in Time-Reversal-Invariant Topological Superconductors
• Current-induced spin polarization in isotropic k-cubed Rashba model: Theoretical study for p-doped semiconductor heterostructures and perovskite oxides interfaces
• Anomalous spin Nernst effect in Weyl semimetals
• Microscopic theory of spin Nernst effect
• Spin accumulation in the spin Nernst effect
• Intrinsic spin Nernst effect in topological Dirac and magnetic Weyl semimetals
• Anomalous Hall and Nernst effects in a two-dimensional electron gas with an anisotropic cubic Rashba spin-orbit interaction
• Bilinear magnetoresistance in 2DEG with isotropic cubic Rashba spin-orbit interaction