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Phys Rev Lett. 2006 Dec 8;97(23):236805. Epub 2006 Dec 6.

Quantum spin Hall effect and enhanced magnetic response by spin-orbit coupling.

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Department of Applied Physics, University of Tokyo, Hongo, Tokyo 113-8656, Japan.


We show that the spin-Hall conductivity in insulators is related to a magnetic susceptibility representing the strength of the spin-orbit coupling. We use this relationship as a guiding principle to search real materials showing quantum spin-Hall effect. As a result, we theoretically predict that two-dimensional bismuth will show the quantum spin-Hall effect, both by calculating the helical edge states, and by showing the nontriviality of the Z2 topological number, and propose possible experiments.

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