Note on Green Function Formalism and Topological Invariants
Fuente:
arXiv
Enregistré dans:
| Auteurs principaux: | , |
|---|---|
| Format: | Preprint |
| Publié: |
2017
|
| Sujets: | |
| Accès en ligne: | |
| Tags: |
Ajouter un tag
Pas de tags, Soyez le premier à ajouter un tag!
|
| _version_ | 1866915753572171776 |
|---|---|
| author | Zhou, Yehao Liu, Junyu |
| author_facet | Zhou, Yehao Liu, Junyu |
| contents | It has been discovered previously that the topological order parameter could be identified from the topological data of the Green's function, namely the (generalized) TKNN invariant in general dimensions, for both non-interacting and interacting systems. In this note, we show that this phenomenon has a clear geometric derivation. This proposal could be regarded as an alternative proof for the identification of the corresponding topological invariant and the topological order parameter. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_1712_08775 |
| institution | arXiv |
| publishDate | 2017 |
| record_format | arxiv |
| spellingShingle | Note on Green Function Formalism and Topological Invariants Zhou, Yehao Liu, Junyu High Energy Physics - Theory Strongly Correlated Electrons Mathematical Physics Algebraic Topology Quantum Physics It has been discovered previously that the topological order parameter could be identified from the topological data of the Green's function, namely the (generalized) TKNN invariant in general dimensions, for both non-interacting and interacting systems. In this note, we show that this phenomenon has a clear geometric derivation. This proposal could be regarded as an alternative proof for the identification of the corresponding topological invariant and the topological order parameter. |
| title | Note on Green Function Formalism and Topological Invariants |
| topic | High Energy Physics - Theory Strongly Correlated Electrons Mathematical Physics Algebraic Topology Quantum Physics |
| url | https://arxiv.org/abs/1712.08775 |