Characterization of Topological States on a Lattice with Chern Number

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Characterization of Topological States on a Lattice with Chern Number

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Title: Characterization of Topological States on a Lattice with Chern Number
Author: Hafezi, Mohammad; Lukin, Mikhail D.; Demler, Eugene A.; Sørensen, Anders

Note: Order does not necessarily reflect citation order of authors.

Citation: Hafezi, M., A. S. Sørensen, M. D. Lukin, and E. Demler. 2008. Characterization of topological states on a lattice with Chern number. Europhysics Letters 81(1): 10005.
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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 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.
Published Version: doi:10.1209/0295-5075/81/10005
Other Sources: http://arxiv.org/abs/0706.0769
Terms of Use: This article is made available under the terms and conditions applicable to Open Access Policy Articles, as set forth at http://nrs.harvard.edu/urn-3:HUL.InstRepos:dash.current.terms-of-use#OAP
Citable link to this page: http://nrs.harvard.edu/urn-3:HUL.InstRepos:8000896

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  • FAS Scholarly Articles [7594]
    Peer reviewed scholarly articles from the Faculty of Arts and Sciences of Harvard University
 
 

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