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| Autori principali: | , , |
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| Natura: | Preprint |
| Pubblicazione: |
2025
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| Soggetti: | |
| Accesso online: | https://arxiv.org/abs/2503.16897 |
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| _version_ | 1866916658968264704 |
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| author | Onaya, Y. Hamano, F. Fukui, T. |
| author_facet | Onaya, Y. Hamano, F. Fukui, T. |
| contents | Inspired by Kitaev's real-space representation of Chern numbers, we develop a real-space formulation of the Berry phase for infinite lattices. While the well-known Resta formula for the Berry phase is defined under periodic boundary conditions for finite lattices, our approach constructs the Berry phase directly on an infinite lattice without requiring momentum-space discretization. We apply this method to several disordered models to examine its validity. Furthermore, we attempt to generalize the real-space representation to the quadrupole moment, drawing an analogy to the generalization of the Resta formula for the quadrupole moment. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2503_16897 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | A formally exact real-space representation of the Berry phase on infinite lattices: Applications to dipole and quadrupole moments Onaya, Y. Hamano, F. Fukui, T. Mesoscale and Nanoscale Physics Disordered Systems and Neural Networks Inspired by Kitaev's real-space representation of Chern numbers, we develop a real-space formulation of the Berry phase for infinite lattices. While the well-known Resta formula for the Berry phase is defined under periodic boundary conditions for finite lattices, our approach constructs the Berry phase directly on an infinite lattice without requiring momentum-space discretization. We apply this method to several disordered models to examine its validity. Furthermore, we attempt to generalize the real-space representation to the quadrupole moment, drawing an analogy to the generalization of the Resta formula for the quadrupole moment. |
| title | A formally exact real-space representation of the Berry phase on infinite lattices: Applications to dipole and quadrupole moments |
| topic | Mesoscale and Nanoscale Physics Disordered Systems and Neural Networks |
| url | https://arxiv.org/abs/2503.16897 |