Středa-like formula in the spin Hall effect

Min-Fong Yang and Ming-Che Chang
Phys. Rev. B 73, 073304 – Published 3 February 2006

Abstract

A generalized Středa formula is derived for the spin transport in spin-orbit coupled systems. As compared with the original Středa formula for charge transport, there is an extra contribution of the spin Hall conductance whenever the spin is not conserved. For recently studied systems with quantum spin Hall effect in which the z-component spin is conserved, this extra contribution vanishes and the quantized value of spin Hall conductivity can be reproduced in the present approach. However, as spin is not conserved in general, this extra contribution cannot be neglected, and the quantization is not exact.

  • Received 16 September 2005

DOI:https://doi.org/10.1103/PhysRevB.73.073304

©2006 American Physical Society

Authors & Affiliations

Min-Fong Yang*

  • Department of Physics, Tunghai University, Taichung, Taiwan

Ming-Che Chang

  • Department of Physics, National Taiwan Normal University, Taipei, Taiwan

  • *Electronic address: mfyang@thu.edu.tw
  • Electronic address: changmc@phy.ntnu.edu.tw

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Issue

Vol. 73, Iss. 7 — 15 February 2006

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