Volume 81, Number 1, January 2008
|Number of page(s)||5|
|Published online||27 November 2007|
Characterization of topological states on a lattice with Chern number
Physics Department, Harvard University - Cambridge, MA - 02138, USA
2 QUANTOP, Danish National Research Foundation Centre of Quantum Optics, Niels Bohr Institute DK-2100 Copenhagen Ø, Denmark
Accepted: 2 November 2007
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 the conventional overlap calculation with the known continuum case such as the 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.
PACS: 03.75.Lm – Tunneling, Josephson effect, Bose-Einstein condensates in periodic potentials, solitons, vortices, and topological excitations / 73.43.-f – Quantum Hall effects
© EPLA, 2008
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