Joule heating in spin Hall geometry

Abstract

The theoretical formula for the entropy production rate in the presence of spin current is derived using the spin-dependent transport equation and thermodynamics. This theory is applicable regardless of the source of the spin current, for example, an electric field, a temperature gradient, or the Hall effect. It reproduces the result in a previous work on the dissipation formula when the relaxation time approximation is applied to the spin relaxation rate. By using the developed theory, it is found that the dissipation in spin Hall geometry has a contribution proportional to the square of the spin Hall angle.

5 pages, 1 figure

References in corpus (4)

• Spin Seebeck insulator
• Theory of magnon-driven spin Seebeck effect
• Extrinsic spin Hall effects measured with lateral spin valve structures
• Dissipation due to pure spin-current generated by spin pumping

Cited by in corpus (5)

• Magnetoresistance originated from charge-spin conversion in ferromagnet
• Symmetry-driven Intrinsic Nonlinear Pure Spin Hall Effect
• Coupled dynamics of magnetizations in spin-Hall oscillators via spin current injection
• Theory of nonlinear magnetoelectric transport effects in normal-metal $-$ magnetic-insulator heterostructures
• Magnon-mediated electric current drag and nonlocal spin-Peltier effect in the ac regime