Exponential decay of the critical points in a discrete model of polyacetylene
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arXiv
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| Format: | Preprint |
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2023
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| _version_ | 1866912153872629760 |
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| author | Gontier, David Kouande, Adechola E. K. Séré, Éric |
| author_facet | Gontier, David Kouande, Adechola E. K. Séré, Éric |
| contents | In this paper we consider stationary states of the SSH model for infinite polyacetylene chains that are homoclinic or heteroclinic connections between two-periodic dimerized states. We prove that such connections converge exponentially fast to the corresponding asymptotic periodic states. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2308_00145 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Exponential decay of the critical points in a discrete model of polyacetylene Gontier, David Kouande, Adechola E. K. Séré, Éric Mathematical Physics Materials Science 35B38, 70K44n 35Q40, 70K44, 81V74 In this paper we consider stationary states of the SSH model for infinite polyacetylene chains that are homoclinic or heteroclinic connections between two-periodic dimerized states. We prove that such connections converge exponentially fast to the corresponding asymptotic periodic states. |
| title | Exponential decay of the critical points in a discrete model of polyacetylene |
| topic | Mathematical Physics Materials Science 35B38, 70K44n 35Q40, 70K44, 81V74 |
| url | https://arxiv.org/abs/2308.00145 |