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Dependence of the intrinsic spin Hall effect on spin-orbit interaction character | | K. Nomura
; Jairo Sinova
; N.A. Sinitsyn
; A.H. MacDonald
; | | Date: |
7 Jun 2005 | | Journal: | Phys. Rev. B 72, 165316 (2005) | | Subject: | Mesoscopic Systems and Quantum Hall Effect | cond-mat.mes-hall | | Abstract: | We report on a comparative numerical study of the spin Hall conductivity in two-dimensions for three different spin-orbit interaction models; the standard k-linear Rashba model, the k-cubic Rashba model that describes two-dimensional hole systems, and a modified k-linear Rashba model in which the spin-orbit coupling strength is energy dependent. Numerical finite-size Kubo formula results indicate that the spin Hall conductivity of the k-linear Rashba model vanishes for frequency $omega$ much smaller than the scattering rate $ au^{-1}$, with order one relative fluctuations surviving out to large system sizes. For the k-cubic Rashba model case, the spin Hall conductivity does not depend noticeably on $omega au$ and is finite in the {em dc} limit, in agreement with experiment. For the modified k-linear Rashba model the spin Hall conductivity is noticeably $omega au$ dependent but approaches a finite value in the {em dc} limit. We discuss these results in the light of a spectral decomposition of the spin Hall conductivity and associated sum rules, and in relation to a proposed separation of the spin Hall conductivity into skew-scattering, intrinsic, and interband vertex correction contributions. | | Source: | arXiv, cond-mat/0506189 | | Services: | Forum | Review | PDF | Favorites | |
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