Scaling of the Integrated Quantum Metric in Disordered Topological Phases
Disordered Systems and Neural Networks
2025-06-06 v4 Mesoscale and Nanoscale Physics
Abstract
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.
Keywords
Cite
@article{arxiv.2406.12677,
title = {Scaling of the Integrated Quantum Metric in Disordered Topological Phases},
author = {Jorge Martínez Romeral and Aron W. Cummings and Stephan Roche},
journal= {arXiv preprint arXiv:2406.12677},
year = {2025}
}
Comments
6 pages, 3 figures