[Host: Israel Klich]
With the experimental discovery of topological insulators in
2 and 3 dimensions, there has emerged the theoretical problem of completely classifying the conditions under which such novel phases can exist. That is, given a spatial dimension and a set of generic symmetries (e.g. time reversal, particle-hole symmetry), what "topological" phases does one obtain? A complete classification has been obtained for effectively non-interacting systems. Here we present an example of a one dimensional fermionic chain in which this simple non-interacting classification breaks down when one adds quartic interactions. We generalize our methods to outline a complete classification of gapped phases of all one-dimensional systems (this is joint work with Alexei Kitaev).
Condensed Matter Seminar
Thursday, September 30, 2010
Physics Building, Room 204
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