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Phys. Rev. Lett. 103, 196803 (2009) [4 pages]

Fractional Topological Insulators

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Michael Levin1,2 and Ady Stern3
1Department of Physics, Harvard University, Cambridge, Massachusetts 02138, USA
2Department of Physics, University of California, Santa Barbara, California 93109, USA
3Department of Condensed Matter Physics, Weizmann Institute of Science, Rehovot 76100, Israel

Received 19 June 2009; published 4 November 2009

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 sz conserving toy models, we show that a system is a fractional topological insulator if and only if σsH/e* is odd, where σsH is the spin-Hall conductance in units of e/2π, and e* is the elementary charge in units of e.

© 2009 The American Physical Society

URL:
http://link.aps.org/doi/10.1103/PhysRevLett.103.196803
DOI:
10.1103/PhysRevLett.103.196803
PACS:
73.43.−f, 72.25.−b