Entanglement spectrum and Wannier center flow of the Hofstadter problem

@article{Huang2012EntanglementSA,
title={Entanglement spectrum and Wannier center flow of the Hofstadter problem},
author={Zhoushen Huang and Daniel P. Arovas},
journal={Physical Review B},
year={2012},
volume={86},
pages={245109}
}
• Published 3 January 2012
• Physics
• Physical Review B
We examine the quantum entanglement spectra and Wannier functions of the square lattice Hofstadter model. Consistent with previous work on entanglement spectra of topological band structures, we find that the entanglement levels exhibit a spectral flow similar to that of the full system's energy spectrum. While the energy spectra are continuous, with open boundary conditions the entanglement spectra exhibit discontinuities associated with the passage of an energy edge state through the Fermi…

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