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Quantum metric induced hole dispersion and emergent particle-hole symmetry in topological flat bands

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arxiv 2409.08324 v1 pith:7B7ZILK5 submitted 2024-09-12 cond-mat.str-el cond-mat.mes-hall

Guangyue Ji , Bo Yang This is my paper
classification cond-mat.str-elcond-mat.mes-hall
keywords bandsdispersionholequantumflatgeometryparticle-holeboldsymbol
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abstract

The emergent hole dispersion in flat bands is an invaluable platform to study the interplay of quantum geometry and electron-electron interaction with a relatively simple setting. In this work, we find that the hole dispersion in ideal bands has a linear relationship with the trace of the quantum geometry tensor at every $\boldsymbol{k}$-point for a wide range of interactions to a good approximation. Next, we give a microscopic analysis on the hole dispersion and show that the linear relationships for short-range and long-range interactions in $\boldsymbol{k}$-space have different origins. Moreover, we show how to exploit this observation to engineer particle-hole symmetry in a Chern band with fluctuating quantum geometry. Our results will be useful for further studying the physics in particle-hole symmetric flat bands both in theory and in experiment.

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Cited by 3 Pith papers

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

  1. Fractional quantization by interaction of arbitrary strength in gapless flat bands with divergent quantum geometry

    cond-mat.mes-hall 2025-12 conditional novelty 7.0 of 10

    FQAH phases emerge and persist independent of interaction strength in gapless flat bands with singular fluctuating quantum geometry via spontaneous carrier inhomogeneity.

  2. Wilson-Loop-Ideal Bands and General Idealization

    cond-mat.mes-hall 2025-09 unverdicted novelty 7.0 of 10

    Introduces Wilson-loop-ideal bands saturating the quantum metric Wilson-loop bound and a general monotonic flow construction applied to moiré models to achieve low-error ideal states for correlated physics.

  3. Ideal Bands in Tight-Binding Models

    cond-mat.mes-hall 2026-07 conditional novelty 6.0 of 10

    Ideal Chern bands with Chern number 1 exist in finite-band models with exponentially decaying hopping when orbital positions differ, but no nonzero-Chern ideal band can exist with finite-range hopping.

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