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

Published 31 Jul 2023 in math-ph, cond-mat.mtrl-sci, and math.MP | (2308.00145v2)

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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