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

David Gontier; Adechola E.K. Kouande; Éric Séré

doi:10.1088/1361-6544/ad8c8d

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

David Gontier
, Adechola E.K. Kouande
, Éric Séré

Université Paris Dauphine

Résultats de recherche: Contribution à un journal › Article › Revue par des pairs

Résumé

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.

langue originale	Anglais
Numéro d'article	015002
journal	Nonlinearity
Volume	38
Numéro de publication	1
Les DOIs	https://doi.org/10.1088/1361-6544/ad8c8d
état	Publié - 31 janv. 2025

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10.1088/1361-6544/ad8c8d

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title = "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.",

keywords = "SSH model, critical point, edge modes, heteroclinic, topological defect",

author = "David Gontier and Kouande, \{Adechola E.K.\} and {\'E}ric S{\'e}r{\'e}",

note = "Publisher Copyright: {\textcopyright} 2024 IOP Publishing Ltd \& London Mathematical Society. All rights, including for text and data mining, AI training, and similar technologies, are reserved.",

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T1 - Exponential decay of the critical points in a discrete model of polyacetylene

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AU - Kouande, Adechola E.K.

AU - Séré, Éric

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AB - 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.

KW - SSH model

KW - critical point

KW - edge modes

KW - heteroclinic

KW - topological defect

UR - https://www.scopus.com/pages/publications/85219215827

U2 - 10.1088/1361-6544/ad8c8d

DO - 10.1088/1361-6544/ad8c8d

M3 - Article

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VL - 38

JO - Nonlinearity

JF - Nonlinearity

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

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