Phonon gap analysis for equilibria of perturbed almost-periodic Frenkel-Kontorova models
Abstract
For generalized Frenkel-Kontorova models subjected to almost-periodic media, employing both the KAM method and the approach of `anti-integrable' limits, two different types of equilibria are obtained in an2024kamtheoryalmostperiodicequilibria and du2024anti respectively. We study the phonon gap around these equilibria and we find that the KAM equilibria do not have a phonon gap but the equilibria obtained by anti-integrable limits do have.
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