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arXiv · 0706.0769

Characterization of topological states on a lattice with Chern number

Mohammad Hafezi·Anders S. Sorensen·Mikhail D. Lukin·Eugene Demler
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Abstract

We study Chern numbers to characterize the ground state of strongly interacting systems on a lattice. This method allows us to perform a numerical characterization of bosonic fractional quantum Hall (FQH) states on a lattice where conventional overlap calculation with known continuum case such as Laughlin state, breaks down due to the lattice structure or dipole-dipole interaction. The non-vanishing Chern number indicates the existence of a topological order in the degenerate ground state manifold.

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Mohammad Hafezi, Anders S. Sorensen, Mikhail D. Lukin, Eugene Demler. 2007-12-04. Characterization of topological states on a lattice with Chern number. https://doi.org/10.1209/0295-5075/81/10005

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