Phys. Rev. B 73, 073304 (2006) [4 pages]Středa-like formula in the spin Hall effectReceived 16 September 2005; revised 16 November 2005; published 3 February 2006 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. © 2006 The American Physical Society URL:
http://link.aps.org/doi/10.1103/PhysRevB.73.073304
DOI:
10.1103/PhysRevB.73.073304
PACS:
73.43.−f, 85.75.−d, 72.25.Hg, 72.25.Mk
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