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

Phys Rev Lett. 2006 Dec 8;97(23):236805. doi: 10.1103/PhysRevLett.97.236805. Epub 2006 Dec 6.


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.

Publication types

  • Research Support, Non-U.S. Gov't
  • Research Support, U.S. Gov't, Non-P.H.S.