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Chern Bands' Optimally Localized Wannier Functions and Fractional Chern Insulators

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arxiv 2407.08920 v1 pith:KRDM6DW2 submitted 2024-07-12 cond-mat.mes-hall cond-mat.str-el

classification cond-mat.mes-hallcond-mat.str-el
keywords chernbandsfractionalfunctionsinsulatorslocalizedoptimallywannier
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Recent development on fractional Chern insulators and proximate phases call for a real space representation of isolated Chern bands. Here we propose a new method for a general construction of optimally localized Wannier functions from such Chern bands. We do so through an optimal gauge choice of the Bloch states of a Chern band with the singularity placed at any desired position in momentum space. We apply this method to construct the optimally localized Wannier functions for kagome lattice, and use it to identify channels of interactions that are favorable to the development of fractional Chern insulators. Implications of the approach for the interplay between correlations and topology in broader contexts are discussed.

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Cited by 2 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. Trion Excitations in Twisted Bilayer Graphene: A Quantum Monte Carlo Study

    cond-mat.str-el 2026-07 conditional novelty 7.0 of 10

    Finite-temperature QMC of twisted bilayer graphene finds gapless 'Dirac trion' three-particle excitations in the normal state, exactly orthogonal to electrons at the Γ point.

  2. Topological chiral superconductivity from antiferromagnetic correlations in moir\'{e} bands with extreme spin-orbit coupling

    cond-mat.supr-con 2025-07 conditional novelty 6.0 of 10

    The energetically favored superconducting pairing in two strong-coupling models of twisted bilayer WSe2 is chiral and topological, with p/d wave mixing and Chern number ±1 or ±2.

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