Fractional topological insulators

2009/06/30 by Michael Levin, Ady Stern · 1 citation
Physics and Astronomy · #cond-mat.mes-hall #cond-mat.str-el

paper · pdf · doi:10.1103/physrevlett.103.196803

published as Phys. Rev. Lett. 103, 196803 (2009) · 4 pages

arxiv created 2009/11/05 · arxiv updated 2011/08/26

Abstract

We analyze generalizations of two dimensional topological insulators which can be realized in interacting, time reversal invariant electron systems. These states, which we call fractional topological insulators, contain excitations with fractional charge and statistics in addition to protected edge modes. In the case of s^z conserving toy models, we show that a system is a fractional topological insulator if and only if σ_sH/e^* is odd, where σ_sH is the spin-Hall conductance in units of e/2π, and e^* is the elementary charge in units of e.

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• Quaternion-Kahler geometry of time reversal symmetric crystals

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