Mapping a fractional quantum Hall state to a fractional Chern insulator

We establish a variational principle for properly mapping a fractional quantum Hall state to a fractional Chern insulator (FCI). We find that the mapping has a gauge freedom which could generate a class of FCI ground-state wave functions appropriate for different forms of interactions. Therefore, th...

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Bibliographic Details
Published in:Physical review. B 2016-04, Vol.93 (16), Article 165129
Main Authors: Zhang, Yinhan, Shi, Junren
Format: Article
Language:English
Subjects:
Condensed matter
Gages
Gauges
Insulators
Mapping
Mathematical analysis
Variational principles
Wave functions
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Summary:We establish a variational principle for properly mapping a fractional quantum Hall state to a fractional Chern insulator (FCI). We find that the mapping has a gauge freedom which could generate a class of FCI ground-state wave functions appropriate for different forms of interactions. Therefore, the gauge should be fixed by a variational principle that minimizes the interaction energy of the FCI model. For a soft and isotropic electron-electron interaction, the principle leads to a gauge coinciding with that for maximally localized two-dimensional projected Wannier functions of a Landau level.
ISSN:2469-9950
2469-9969
DOI:10.1103/PhysRevB.93.165129