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Symmetry-protected many-body Aharonov-Bohm effect

Luiz H. Santos Juven Wang

Mathematical Physics Theoretical Physics mathscidoc:1904.22008

Phys. Rev., 2014
It is known as a purely quantum effect that a magnetic flux affects the real physics of a particle, such as the energy spectrum, even if the flux does not interfere with the particle's path - the Aharonov-Bohm effect. Here we examine an Aharonov-Bohm effect on a many-body wavefunction. Specifically, we study this many-body effect on the gapless edge states of a bulk gapped phase protected by a global symmetry (such as ZN) - the symmetry-protected topological (SPT) states. The many-body analogue of spectral shifts, the twisted wavefunction and the twisted boundary realization are identified in this SPT state. An explicit lattice construction of SPT edge states is derived, and a challenge of gauging its non-onsite symmetry is overcome. Agreement is found in the twisted spectrum between a numerical lattice calculation and a conformal field theory prediction.
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@inproceedings{luiz2014symmetry-protected,
  title={Symmetry-protected many-body Aharonov-Bohm effect},
  author={Luiz H. Santos, and Juven Wang},
  url={http://archive.ymsc.tsinghua.edu.cn/pacm_paperurl/20190419104102831159257},
  booktitle={Phys. Rev.},
  year={2014},
}
Luiz H. Santos, and Juven Wang. Symmetry-protected many-body Aharonov-Bohm effect. 2014. In Phys. Rev.. http://archive.ymsc.tsinghua.edu.cn/pacm_paperurl/20190419104102831159257.
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