Scaling of the Integrated Quantum Metric in Disordered Topological Phases
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arXiv
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| Hauptverfasser: | , , |
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| Format: | Preprint |
| Veröffentlicht: |
2024
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| _version_ | 1866909637663522816 |
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| author | Romeral, Jorge Martínez Cummings, Aron W. Roche, Stephan |
| author_facet | Romeral, Jorge Martínez Cummings, Aron W. Roche, Stephan |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2406_12677 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Scaling of the Integrated Quantum Metric in Disordered Topological Phases Romeral, Jorge Martínez Cummings, Aron W. Roche, Stephan Disordered Systems and Neural Networks Mesoscale and Nanoscale Physics 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. |
| title | Scaling of the Integrated Quantum Metric in Disordered Topological Phases |
| topic | Disordered Systems and Neural Networks Mesoscale and Nanoscale Physics |
| url | https://arxiv.org/abs/2406.12677 |