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| Main Authors: | , , |
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| Format: | Preprint |
| Published: |
2025
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2502.14299 |
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| _version_ | 1866913910841409536 |
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| author | Shiina, T. Hamano, F. Fukui, T. |
| author_facet | Shiina, T. Hamano, F. Fukui, T. |
| contents | We extend Kitaev's real-space formulation of the first Chern number to the second Chern number and establish a computational framework for its evaluation. To test its validity, we apply the derived formula to the disordered Wilson-Dirac model and analyze its ability to capture topological properties in the presence of disorder. Our results demonstrate that the real-space approach provides a viable method for characterizing higher-dimensional topological phases beyond momentum-space formulations. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2502_14299 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Real-space representation of the second Chern number Shiina, T. Hamano, F. Fukui, T. Mesoscale and Nanoscale Physics Statistical Mechanics High Energy Physics - Lattice We extend Kitaev's real-space formulation of the first Chern number to the second Chern number and establish a computational framework for its evaluation. To test its validity, we apply the derived formula to the disordered Wilson-Dirac model and analyze its ability to capture topological properties in the presence of disorder. Our results demonstrate that the real-space approach provides a viable method for characterizing higher-dimensional topological phases beyond momentum-space formulations. |
| title | Real-space representation of the second Chern number |
| topic | Mesoscale and Nanoscale Physics Statistical Mechanics High Energy Physics - Lattice |
| url | https://arxiv.org/abs/2502.14299 |