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Quantum Spin Hall Effect and Enhanced Magnetic Response by Spin-Orbit Coupling

Shuichi Murakami

Published 2006-06-30, updated 2006-10-10Version 2

We show that the spin Hall conductivity in insulators is related with 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 bismuth will show the quantum spin Hall effect, both by calculating the helical edge states, and by showing the non-triviality of the Z_2 topological number, and propose possible experiments.

Comments: 5 pages, 2 figures, accepted for publication in Phys. Rev. Lett
Journal: Phys. Rev. Lett. 97, 236805 (2006)
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