Probing Topological Stability with Nonlocal Quantum Geometric Markers
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arXiv
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| Autores principales: | , , , |
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| Formato: | Preprint |
| Publicado: |
2025
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| Acceso en línea: | |
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| _version_ | 1866917076568899584 |
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| author | Marsal, Quentin Liu, Hui Bergholtz, Emil J. Black-Schaffer, Annica M. |
| author_facet | Marsal, Quentin Liu, Hui Bergholtz, Emil J. Black-Schaffer, Annica M. |
| contents | Spatially resolved local quantum geometric markers play a crucial role in the diagnosis of topological phases without long-range translational symmetry, including amorphous systems. Here, we focus on the nonlocality of such markers. We demonstrate that they behave as correlation functions independently of the material's structure, showing sharp variations in the vicinity of topological transitions and exhibiting a unique pattern in real space for each transition. Notably, we find that, even within the same Altland-Zirnbauer class, distinct topological transitions generate qualitatively different spatial signatures, enabling a refined, class-internal probe of topological stability. As such, nonlocal quantum geometric indicators provide a more efficient and versatile tool to understand and predict the stability of topological phase transitions. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2511_09664 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Probing Topological Stability with Nonlocal Quantum Geometric Markers Marsal, Quentin Liu, Hui Bergholtz, Emil J. Black-Schaffer, Annica M. Mesoscale and Nanoscale Physics Quantum Physics Spatially resolved local quantum geometric markers play a crucial role in the diagnosis of topological phases without long-range translational symmetry, including amorphous systems. Here, we focus on the nonlocality of such markers. We demonstrate that they behave as correlation functions independently of the material's structure, showing sharp variations in the vicinity of topological transitions and exhibiting a unique pattern in real space for each transition. Notably, we find that, even within the same Altland-Zirnbauer class, distinct topological transitions generate qualitatively different spatial signatures, enabling a refined, class-internal probe of topological stability. As such, nonlocal quantum geometric indicators provide a more efficient and versatile tool to understand and predict the stability of topological phase transitions. |
| title | Probing Topological Stability with Nonlocal Quantum Geometric Markers |
| topic | Mesoscale and Nanoscale Physics Quantum Physics |
| url | https://arxiv.org/abs/2511.09664 |