Effect of disorder on Berry curvature and quantum metric in two-band gapped graphene

Fuente: arXiv
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Auteurs principaux: Liu, Ze, Zhang, Zhi-Fan, Zhu, Zhen-Gang, Su, Gang
Format: Preprint
Publié: 2024
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author Liu, Ze
Zhang, Zhi-Fan
Zhu, Zhen-Gang
Su, Gang
author_facet Liu, Ze
Zhang, Zhi-Fan
Zhu, Zhen-Gang
Su, Gang
contents The geometric properties of parameter space are mostly described by Berry curvature and quantum metric, which are the imaginary and real part of quantum geometric tensor, respectively. In this work, we calculate the dressed Berry curvature and quantum metric containing eight Feynman diagrams, which are proportional to the leading-order of the concentration of impurities. For a two-band gapped graphene model, we find the disorder does not break the original symmetry but decrease (increase) the absolute value of Berry curvature and quantum metric in conduction (valence) band. We show how impurities affect the Berry curvature and quantum metric, deepening our understanding of the impurity effect on the electron transport properties in two-band gapped graphene.
format Preprint
id arxiv_https___arxiv_org_abs_2404_13275
institution arXiv
publishDate 2024
record_format arxiv
spellingShingle Effect of disorder on Berry curvature and quantum metric in two-band gapped graphene
Liu, Ze
Zhang, Zhi-Fan
Zhu, Zhen-Gang
Su, Gang
Mesoscale and Nanoscale Physics
Materials Science
The geometric properties of parameter space are mostly described by Berry curvature and quantum metric, which are the imaginary and real part of quantum geometric tensor, respectively. In this work, we calculate the dressed Berry curvature and quantum metric containing eight Feynman diagrams, which are proportional to the leading-order of the concentration of impurities. For a two-band gapped graphene model, we find the disorder does not break the original symmetry but decrease (increase) the absolute value of Berry curvature and quantum metric in conduction (valence) band. We show how impurities affect the Berry curvature and quantum metric, deepening our understanding of the impurity effect on the electron transport properties in two-band gapped graphene.
title Effect of disorder on Berry curvature and quantum metric in two-band gapped graphene
topic Mesoscale and Nanoscale Physics
Materials Science
url https://arxiv.org/abs/2404.13275