Exact analytical edge states in the extended Su-Schrieffer-Heeger model
Fuente:
arXiv
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| Autori principali: | , , |
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| Natura: | Preprint |
| Pubblicazione: |
2026
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| _version_ | 1866908986925645824 |
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| author | Grizzi, P. A. Aligia, A. A. Roura-Bas, P. |
| author_facet | Grizzi, P. A. Aligia, A. A. Roura-Bas, P. |
| contents | We investigate the topology of the different phases of the extended Su-Schrieffer-Heeger (eSSH) model, which includes hopping processes between translationally inequivalent atoms beyond nearest neighbors. Exact analytical expressions for the edge states of a semi-infinite eSSH chain are derived, with wave functions that decay exponentially from the boundary with a unit-cell decay factor z. From the winding number of the bulk Hamiltonian under periodic boundary conditions, we determine the topological phase diagram and establish the bulk-boundary correspondence: changes in the winding number coincide with bulk gap closings and with the condition |z|=1 for the edge-state solutions. For finite chains, we further obtain analytical, approximate expressions for the low-energy edge states, which are shown to be highly accurate. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2604_20561 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Exact analytical edge states in the extended Su-Schrieffer-Heeger model Grizzi, P. A. Aligia, A. A. Roura-Bas, P. Other Condensed Matter Quantum Physics We investigate the topology of the different phases of the extended Su-Schrieffer-Heeger (eSSH) model, which includes hopping processes between translationally inequivalent atoms beyond nearest neighbors. Exact analytical expressions for the edge states of a semi-infinite eSSH chain are derived, with wave functions that decay exponentially from the boundary with a unit-cell decay factor z. From the winding number of the bulk Hamiltonian under periodic boundary conditions, we determine the topological phase diagram and establish the bulk-boundary correspondence: changes in the winding number coincide with bulk gap closings and with the condition |z|=1 for the edge-state solutions. For finite chains, we further obtain analytical, approximate expressions for the low-energy edge states, which are shown to be highly accurate. |
| title | Exact analytical edge states in the extended Su-Schrieffer-Heeger model |
| topic | Other Condensed Matter Quantum Physics |
| url | https://arxiv.org/abs/2604.20561 |