Conserved spin current for the Mott relation

Abstract

The conserved bulk spin current [Shi et al., Phys. Rev. Lett. 96, 076604 (2006)], defined as the time derivative of the spin displacement operator, ensures automatically the Onsager relation between the spin Hall effect (SHE) and the inverse SHE. Here, we reveal another desirable property of this conserved spin current: the Mott relation linking the SHE and its thermal counterpart, the spin Nernst effect (SNE). According to the Mott relation, the SNE is known once the SHE is understood. In a two-dimensional Dirac-Rashba system with a smooth scalar disorder potential, we find a sign change of the spin Nernst conductivity when tuning the chemical potential.

arXiv comment5 pages, 1 figure

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Cited by in corpus (10)

• Berry-phase effects in dipole density and Mott relation
• Conserved current of nonconserved quantities
• Spin accumulation without spin current
• Topological nature of the proper spin current and the spin-Hall torque
• Spin-Hall effect due to the bulk states of topological insulators: Extrinsic contribution to the conserved spin current
• Magnon gravitomagnetoelectric effect in noncentrosymmetric antiferromagnetic insulators
• Spin-Hall effect in topological materials: Evaluating the proper spin current in systems with arbitrary degeneracies
• Orbital Gravito-Magnetoelectric response and Orbital magnetic quadrupole moment correction
• Microscopic theory of spin Nernst effect
• Spin accumulation in the spin Nernst effect