Spin accumulation in the spin Nernst effect

Abstract

The spin Nernst effect is a phenomenon in which the spin current flows perpendicular to a temperature gradient. Similar to the spin Hall effect, this phenomenon also causes spin accumulation at the boundaries. Here, we study the spin response to the gradient of the temperature gradient with the use of Green's functions. Our formalism predicts physically observable spin accumulation without the ambiguity regarding the definition of the spin current or the magnetization correction. We prove the generalized Mott relation between the electric and thermal responses assuming the presence of time-reversal symmetry and the absence of inelastic scattering. We also find that thermal spin accumulation vanishes for the three-dimensional Luttinger model but is nonzero for the two-dimensional Rashba model with $\delta$-function nonmagnetic disorder in the first Born approximation.

6 pages, 2 figures

References in corpus (19)

• Dissipationless Quantum Spin Current at Room Temperature
• Observation of the Spin-Seebeck Effect in a Ferromagnetic Semiconductor
• Theoretical prediction of rotating magnon wavepacket in ferromagnets
• On A Proper Definition of Spin Current
• SU(2) Non-Abelian Holonomy and Dissipationless Spin Current in Semiconductors
• Can Non-Equilibrium Spin Hall Accumulation be Induced in Ballistic Nanostructures?
• Imaging mesoscopic spin Hall flow: Spatial distribution of local spin currents and spin densities in and out of multiterminal spin-orbit coupled semiconductor nanostructures
• Absence of vertex correction for the spin Hall effect in p-type semiconductors
• Mesoscopic Spin Hall Effect in Multiprobe Ballistic Spin-Orbit Coupled Semiconductor Bridges
• Quasiclassical approach to the spin-Hall effect in the two-dimensional electron gas
• Spin Nernst effect and Nernst effect in two-dimensional electron systems
• Theory of conserved spin current and its application to two dimensional hole gas
• Tunable large spin Hall and spin Nernst effects in Dirac semimetals ZrXY (X=Si, Ge; Y=S, Se, Te)
• Spintronic thermal management
• Charge and Spin Currents Generated by Dynamical Spins
• Charge current driven by spin dynamics in disordered Rashba spin-orbit system
• Spin accumulation without spin current
• Mesoscopic Spin-Hall Effect in 2D electron systems with smooth boundaries
• Spin-resolved orbital magnetization in Rashba two-dimensional electron gas