Mapping a fractional quantum Hall state to a fractional Chern insulator
arXiv:1510.00524 · doi:10.1103/PhysRevB.93.165129
Abstract
We establish a variational principle for properly mapping a fractional quantum Hall (FQH) 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 \emph{two-dimensional} projected Wannier functions of a Landau level.
8 pages, 5 figures
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Cited by in corpus (5)
- Stability, phase transitions, and numerical breakdown of fractional Chern insulators in higher Chern bands of the Hofstadter model
- Hyperbolic Fractional Chern insulators
- Dynamics of the Wigner Crystal of Composite Particles
- Quantum mechanics of composite fermions
- Evolution of the optimal trial wave function with interactions in fractional Chern insulators