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Sum rules for spin-Hall conductivity cancelation

Emmanuel I. Rashba
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Abstract

It has been shown recently that the universal dc spin conductivity of two-dimensional electrons with a Rashba spin-orbit interaction is canceled by vertex corrections in a weak scattering regime. We prove that the zero bulk spin conductivity is an intrinsic property of the free-electron Hamiltonian and scattering is merely a tool to reveal this property in terms of the diagrammatic technique. When Zeeman energy is neglected, the zero dc conductivity persists in a magnetic field. Spin conductivity increases resonantly at the cyclotron frequency and then decays towards the universal value.

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Emmanuel I. Rashba. 2004-09-18. Sum rules for spin-Hall conductivity cancelation. https://doi.org/10.1103/physrevb.70.201309

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