Z2 Structure of the Quantum Spin Hall Effect

Leon Balents

Physics Department, University of California at Santa Barbara, Santa Barbara, CA, USA

Recent work initiated by Kane and Mele has shown that time-reversal invariant insulators with spin-orbit coupling can exhibit a non-trivial Z2 topological structure, realizable in principle in graphene. I will discuss connections of this structure to the usual Integer Quantum Hall Effect, its robustness, and a generalization to three dimensions.