Topological phases and spontaneous symmetry breaking: the revenge of the original Su-Schrieffer-Heeger model
Fuente:
arXiv
Saved in:
| Main Authors: | , , |
|---|---|
| Format: | Preprint |
| Published: |
2025
|
| Subjects: | |
| Online Access: | |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1866916879071707136 |
|---|---|
| author | Matveeva, Polina Gutman, Dmitri Carr, Sam T. |
| author_facet | Matveeva, Polina Gutman, Dmitri Carr, Sam T. |
| contents | We study the interplay of spontaneous symmetry breaking and topological properties in interacting one-dimensional models. We solve these models using bozonization and identify topologically non-trivial phases by counting the additional degeneracy (affiliated with the edge modes) of a finite-size system relative to the infinite one. We find even if the mean-field solution is topological, this may not be true when it arises from spontaneous symmetry breaking, including in the Su-Schrieffer-Heeger (SSH) model. This implies that the original SSH model, as presented by Su, Schrieffer, and Heeger, is topologically trivial, as opposed to its mean-field version. A spinful version, on the other hand, does exhibit a topologically non-trivial phase. In that state, both mean-field solutions are topologically non-trivial and correspond to non-interacting SSH chains in the opposite phases with the winding number $ν=1$. We show that this phase is protected by a chiral symmetry, similar to the non-interacting phases. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2508_01985 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Topological phases and spontaneous symmetry breaking: the revenge of the original Su-Schrieffer-Heeger model Matveeva, Polina Gutman, Dmitri Carr, Sam T. Mesoscale and Nanoscale Physics Strongly Correlated Electrons We study the interplay of spontaneous symmetry breaking and topological properties in interacting one-dimensional models. We solve these models using bozonization and identify topologically non-trivial phases by counting the additional degeneracy (affiliated with the edge modes) of a finite-size system relative to the infinite one. We find even if the mean-field solution is topological, this may not be true when it arises from spontaneous symmetry breaking, including in the Su-Schrieffer-Heeger (SSH) model. This implies that the original SSH model, as presented by Su, Schrieffer, and Heeger, is topologically trivial, as opposed to its mean-field version. A spinful version, on the other hand, does exhibit a topologically non-trivial phase. In that state, both mean-field solutions are topologically non-trivial and correspond to non-interacting SSH chains in the opposite phases with the winding number $ν=1$. We show that this phase is protected by a chiral symmetry, similar to the non-interacting phases. |
| title | Topological phases and spontaneous symmetry breaking: the revenge of the original Su-Schrieffer-Heeger model |
| topic | Mesoscale and Nanoscale Physics Strongly Correlated Electrons |
| url | https://arxiv.org/abs/2508.01985 |