拓扑平坦带中的量子度量诱导空穴色散和新兴粒子-空穴对称性

Guangyue Ji, Bo Yang
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引用次数: 0

摘要

平带中出现的空穴色散是研究量子几何与电子-电子相互作用的一个宝贵平台,它的设置非常简单。在这项工作中,我们发现在理想带中的空穴色散与量子几何张量在每个$\boldsymbol{k}$点的迹线有线性关系,而且在很大的相互作用范围内可以达到很好的近似。接下来,我们对空穴色散进行了微观分析,并表明$\boldsymbol{k}$空间中短程和长程相互作用的线性关系具有不同的起源。此外,我们还展示了如何利用这一观察结果在具有波动量子几何的切恩带中设计粒子-空穴对称性。我们的结果将有助于在理论和实验中进一步研究粒子-空穴对称平带中的物理学。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
Quantum metric induced hole dispersion and emergent particle-hole symmetry in topological flat bands
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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