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

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.

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Publication Details

Journal
Nonlinearity
Published
2024-11-19
DOI
https://doi.org/10.1088/1361-6544/ad8c8d
Primary Topic
Quantum chaos and dynamical systems
Type
article
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article

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

David Gontier, Éric Séré, Adéchola Kouande
Nonlinearity
Quantum chaos and dynamical systems
article

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

David Gontier, Éric Séré, Adéchola Kouande
article en

Abstract

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.

NonlinearityVol. 38(1)
Centre de Recherche en Mathématiques de la Décision (FR)
Openalex Percentile: Top 80%
Quantum chaos and dynamical systems
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Exponential decay of the critical points in a discrete model of polyacetylene — David Gontier, Éric Séré, et al. · Nonlinearity (2024) | TGRS Research Map | TGRS