Abelian Chern-Simons-Maxwell theory from a tight binding model of spinless fermions

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• Dr Jiannis Pachos, University of Leeds
• Thursday 24 January 2013, 13:45-15:00
• Theory Library.

If you have a question about this talk, please contact Dr Dimitri M Gangardt.

Abelian Chern-Simons-Maxwell theory can emerge from the bosonisation of the 2+1-dimensional Thirring model that describes interacting Dirac fermions. In this talk I will show how the Thirring model manifests itself in the low energy limit of a two-dimensional tight binding model of spinless fermions. To establish that we employ a modification of Haldane’s model, where the ``doubling” of fermions is rectified by adiabatic elimination. Subsequently, fermionic interactions are introduced that lead to the analytically tractable Thirring model. By local density measurements of the lattice fermions we can establish that for specific values of the couplings the model exhibits the confining 2+1-dimensional QED phase or a topological ordered phase that corresponds to the Chern-Simons theory. The implementation of the model as well as the measurement protocol are accessible with current technology of cold atoms in optical lattices.

This talk is part of the Theoretical Physics Seminars series.

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• Bham Talks
• Theoretical Physics Seminars
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