Středa-like formula in the spin Hall effect

Min Fong Yang*, Ming Che Chang

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

29 Citations (Scopus)


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.

Original languageEnglish
Article number073304
JournalPhysical Review B - Condensed Matter and Materials Physics
Issue number7
Publication statusPublished - 2006

ASJC Scopus subject areas

  • Electronic, Optical and Magnetic Materials
  • Condensed Matter Physics


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