Středa-like formula in the spin Hall effect

Min Fong Yang, Ming Che Chang

Research output: Contribution to journalArticle

16 Citations (Scopus)

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.

Original languageEnglish
Article number073304
JournalPhysical Review B - Condensed Matter and Materials Physics
Volume73
Issue number7
DOIs
Publication statusPublished - 2006 Feb 28

Fingerprint

Spin Hall effect
Quantum Hall effect
Hall effect
Charge transfer
Orbits
orbits
conductivity

ASJC Scopus subject areas

  • Condensed Matter Physics

Cite this

Středa-like formula in the spin Hall effect. / Yang, Min Fong; Chang, Ming Che.

In: Physical Review B - Condensed Matter and Materials Physics, Vol. 73, No. 7, 073304, 28.02.2006.

Research output: Contribution to journalArticle

@article{7dfa329d215f4f1b997c21fb84fe6e84,
title = "Středa-like formula in the spin Hall effect",
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.",
author = "Yang, {Min Fong} and Chang, {Ming Che}",
year = "2006",
month = "2",
day = "28",
doi = "10.1103/PhysRevB.73.073304",
language = "English",
volume = "73",
journal = "Physical Review B",
issn = "2469-9950",
publisher = "American Physical Society",
number = "7",

}

TY - JOUR

T1 - Středa-like formula in the spin Hall effect

AU - Yang, Min Fong

AU - Chang, Ming Che

PY - 2006/2/28

Y1 - 2006/2/28

N2 - 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.

AB - 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.

UR - http://www.scopus.com/inward/record.url?scp=33244485837&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=33244485837&partnerID=8YFLogxK

U2 - 10.1103/PhysRevB.73.073304

DO - 10.1103/PhysRevB.73.073304

M3 - Article

AN - SCOPUS:33244485837

VL - 73

JO - Physical Review B

JF - Physical Review B

SN - 2469-9950

IS - 7

M1 - 073304

ER -