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  • Letter
  • Open Access

Spin accumulation without spin current

Atsuo Shitade1 and Gen Tatara2

  • 1Institute for Molecular Science, Aichi 444-8585, Japan
  • 2RIKEN Center for Emergent Matter Science (CEMS) and RIKEN Cluster for Pioneering Research (CPR), 2-1 Hirosawa, Wako, Saitama 351-0198, Japan

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Phys. Rev. B 105, L201202 – Published 11 May, 2022

DOI: https://doi.org/10.1103/PhysRevB.105.L201202

Abstract

The spin Hall (SH) effect is a phenomenon in which the spin current flows perpendicular to an applied electric field and causes the spin accumulation at the boundaries. However, in the presence of spin-orbit couplings, the spin current is not well defined. Here, we calculate the spin response to an electric-field gradient, which naturally appears at the boundaries. We derive a generic formula using the Bloch wave functions and the phenomenological relaxation time. We also calculate the response for the uniform Rashba model with δ-function nonmagnetic disorder within the first-order Born approximation and corresponding vertex corrections. We find the nonzero spin accumulation, although the SH conductivity exactly vanishes.

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Information

Phys. Rev. B 105, L201202– Published 11 May, 2022
  • Received 21 December 2021
  • Revised 22 April 2022
  • Accepted 2 May 2022
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