Characterization of topological states on a lattice with Chern number

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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.
5 pages, 3 figures, V2: changes in the presentation

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Mesoscale and Nanoscale Physics, Quantum Physics

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http://salesiana.dossiersoluciones.com/handle/123456789/144201

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/0706.0769
 http://arxiv.org/abs/0706.0769
 EPL 81 No 1 (January 2008) 10005
 doi:10.1209/0295-5075/81/10005

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arXiv