Topological analysis of the complex SSH model using the quantum geometric tensor
Fuente:
arXiv
Salvato in:
| Autori principali: | , , |
|---|---|
| Natura: | Preprint |
| Pubblicazione: |
2023
|
| Soggetti: | |
| Accesso online: | |
| Tags: |
Aggiungi Tag
Nessun Tag, puoi essere il primo ad aggiungerne!!
|
| _version_ | 1866914866698125312 |
|---|---|
| author | Cheng, Eve Batchelor, Murray T. Cocks, Danny |
| author_facet | Cheng, Eve Batchelor, Murray T. Cocks, Danny |
| contents | This paper presents two methods for topological analysis of the complex Hermitian Su-Schrieffer-Heeger (SSH) model using the quantum geometric tensor: Berry phase and topological data analysis. We demonstrate how both methods can effectively generate topological phase diagrams for the model, revealing two distinct regions based on the relative magnitudes of the parameters $|v|$ and $|w|$. Specifically, when $|v| > |w|$, the system is found to be topologically trivial, whereas for $|v| < |w|$, it exhibits topologically non-trivial behavior. Our results contribute to building the groundwork for topological analysis of more complicated SSH-type models. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2308_04626 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Topological analysis of the complex SSH model using the quantum geometric tensor Cheng, Eve Batchelor, Murray T. Cocks, Danny Strongly Correlated Electrons Mesoscale and Nanoscale Physics This paper presents two methods for topological analysis of the complex Hermitian Su-Schrieffer-Heeger (SSH) model using the quantum geometric tensor: Berry phase and topological data analysis. We demonstrate how both methods can effectively generate topological phase diagrams for the model, revealing two distinct regions based on the relative magnitudes of the parameters $|v|$ and $|w|$. Specifically, when $|v| > |w|$, the system is found to be topologically trivial, whereas for $|v| < |w|$, it exhibits topologically non-trivial behavior. Our results contribute to building the groundwork for topological analysis of more complicated SSH-type models. |
| title | Topological analysis of the complex SSH model using the quantum geometric tensor |
| topic | Strongly Correlated Electrons Mesoscale and Nanoscale Physics |
| url | https://arxiv.org/abs/2308.04626 |