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

Research output: Contribution to journal › Article › peer-review

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.

Original language	English
Article number	015002
Journal	Nonlinearity
Volume	38
Issue number	1
DOIs	https://doi.org/10.1088/1361-6544/ad8c8d
Publication status	Published - 31 Jan 2025

Keywords

SSH model
critical point
edge modes
heteroclinic
topological defect

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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

AU - Gontier, David

AU - Kouande, Adechola E.K.

AU - Séré, Éric

PY - 2025/1/31

Y1 - 2025/1/31

N2 - 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.

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

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DO - 10.1088/1361-6544/ad8c8d

M3 - Article

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VL - 38

JO - Nonlinearity

JF - Nonlinearity

IS - 1

M1 - 015002

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

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Keywords

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