Inhomogeneous SSH models and the doubling of orthogonal polynomials
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_ | 1866910191283339264 |
|---|---|
| author | Crampé, Nicolas Labriet, Quentin Morey, Lucia Parez, Gilles Vinet, Luc |
| author_facet | Crampé, Nicolas Labriet, Quentin Morey, Lucia Parez, Gilles Vinet, Luc |
| contents | We analyze Su-Schrieffer-Heeger (SSH) models using the doubling method for orthogonal polynomial sequences. This approach yields the analytical spectrum and exact eigenstates of the models. We demonstrate that the standard SSH model is associated with the doubling of Chebyshev polynomials. Extending this technique to the doubling of other finite sequences enables the construction of Hamiltonians for inhomogeneous SSH models which are exactly solvable. We detail the specific cases associated with Krawtchouk and $q$-Racah polynomials. This work highlights the utility of polynomial-doubling techniques in obtaining exact solutions for physical models. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2511_15527 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Inhomogeneous SSH models and the doubling of orthogonal polynomials Crampé, Nicolas Labriet, Quentin Morey, Lucia Parez, Gilles Vinet, Luc Mathematical Physics Statistical Mechanics Strongly Correlated Electrons Quantum Physics We analyze Su-Schrieffer-Heeger (SSH) models using the doubling method for orthogonal polynomial sequences. This approach yields the analytical spectrum and exact eigenstates of the models. We demonstrate that the standard SSH model is associated with the doubling of Chebyshev polynomials. Extending this technique to the doubling of other finite sequences enables the construction of Hamiltonians for inhomogeneous SSH models which are exactly solvable. We detail the specific cases associated with Krawtchouk and $q$-Racah polynomials. This work highlights the utility of polynomial-doubling techniques in obtaining exact solutions for physical models. |
| title | Inhomogeneous SSH models and the doubling of orthogonal polynomials |
| topic | Mathematical Physics Statistical Mechanics Strongly Correlated Electrons Quantum Physics |
| url | https://arxiv.org/abs/2511.15527 |