Spin diffusion in spin glasses requires two magnetic variables, M and m

Chen Sun and Wayne M. Saslow
Phys. Rev. B 107, 094438 – Published 31 March 2023

Abstract

Experiment has established that spin glasses can support a steady-state spin current ji. However, the accepted theory of spin-glass dynamics permits oscillations but no steady-state spin current. Onsager's irreversible thermodynamics implies that the spin current is proportional to the gradient of a magnetization. We argue, however, that the magnon distribution function associated with the local equilibrium magnetization M cannot diffuse because it represents 1023 variables. We therefore invoke the nonequilibrium magnetization m, which in spintronics is called the spin accumulation. Applying the theory of irreversible thermodynamics, we indeed find that it predicts spin diffusion, and we consider other experimental consequences of the theory, including a wavelength-dependent coupling between the reactive and the diffusive degrees of freedom.

  • Received 11 October 2022
  • Revised 6 March 2023
  • Accepted 15 March 2023

DOI:https://doi.org/10.1103/PhysRevB.107.094438

©2023 American Physical Society

Physics Subject Headings (PhySH)

Condensed Matter, Materials & Applied Physics

Authors & Affiliations

Chen Sun1 and Wayne M. Saslow2,*

  • 1School of Physics and Electronics, Hunan University, Changsha 410082, China
  • 2Texas A&M University, College Station, Texas 77843, USA

  • *wsaslow@tamu.edu

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Issue

Vol. 107, Iss. 9 — 1 March 2023

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