Flow of unitary matrices: Real-space winding numbers in one and three dimensions
Fuente:
arXiv
Guardado en:
| Autores principales: | , |
|---|---|
| Formato: | Preprint |
| Publicado: |
2024
|
| Materias: | |
| Acceso en línea: | |
| Etiquetas: |
Agregar Etiqueta
Sin Etiquetas, Sea el primero en etiquetar este registro!
|
| _version_ | 1866911973247025152 |
|---|---|
| author | Hamano, F. Fukui, T. |
| author_facet | Hamano, F. Fukui, T. |
| contents | The notion of the flow introduced by Kitaev is a manifestly topological formulation of the winding number on a real lattice. First, we show in this paper that the flow is quite useful for practical numerical computations for systems without translational invariance. Second, we extend it to three dimensions. Namely, we derive a formula of the flow on a three-dimensional lattice, which corresponds to the conventional winding number when systems have translational invariance. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2405_12537 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Flow of unitary matrices: Real-space winding numbers in one and three dimensions Hamano, F. Fukui, T. Chaotic Dynamics Mesoscale and Nanoscale Physics The notion of the flow introduced by Kitaev is a manifestly topological formulation of the winding number on a real lattice. First, we show in this paper that the flow is quite useful for practical numerical computations for systems without translational invariance. Second, we extend it to three dimensions. Namely, we derive a formula of the flow on a three-dimensional lattice, which corresponds to the conventional winding number when systems have translational invariance. |
| title | Flow of unitary matrices: Real-space winding numbers in one and three dimensions |
| topic | Chaotic Dynamics Mesoscale and Nanoscale Physics |
| url | https://arxiv.org/abs/2405.12537 |