English

Exponential decay of the critical points in a discrete model of polyacetylene

Mathematical Physics 2024-12-16 v2 Materials Science math.MP

Abstract

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.

Keywords

Cite

@article{arxiv.2308.00145,
  title  = {Exponential decay of the critical points in a discrete model of polyacetylene},
  author = {David Gontier and Adechola E. K. Kouande and Éric Séré},
  journal= {arXiv preprint arXiv:2308.00145},
  year   = {2024}
}