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Scaling of the Integrated Quantum Metric in Disordered Topological Phases

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arxiv 2406.12677 v4 pith:NCGUEETG submitted 2024-06-18 cond-mat.dis-nn cond-mat.mes-hall

Jorge Martínez Romeral , Aron W.Cummings , Stephan Roche This is my paper · ORCID
classification cond-mat.dis-nncond-mat.mes-hall
keywords disorderedquantumtopologicalintegratedmetricmodelphasessystems
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We report a study of a disorder-dependent real-space representation of the quantum geometry in topological systems. Thanks to the development of an efficient linear-scaling numerical methodology based on the kernel polynomial method, we can explore nontrivial behavior of the integrated quantum metric and Chern number in disordered systems with sizes reaching the experimental scale. We illustrate this approach in the disordered Haldane model, examining the impact of Anderson disorder and vacancies on the trivial and topological phases captured by this model.

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  1. Superdielectrics: Disorder-induced perfect screening in insulators

    cond-mat.mes-hall 2025-08 conditional novelty 6.0 of 10

    Bond-disordered chiral insulators, including SSH chains and vacancy-doped Kekulé graphene, can have a divergent static susceptibility with a finite quantum metric and zero dc conductivity, a regime the authors call su...

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