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arXiv · 2409.08324

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

Guangyue Ji·Bo Yang
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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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Guangyue Ji, Bo Yang. 2024-09-12. Quantum metric induced hole dispersion and emergent particle-hole symmetry in topological flat bands. https://arxiv.org/abs/2409.08324

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