A resonance in phonons scattering off a kink in the absence of a Peierls-Nabarro potential
Abstract
We investigate the interaction of small-amplitude waves called phonons, with an initially static kink in an exceptional discretization of the ϕ4 model that is free of the Peierls-Nabarro potential. Phonons are generated by a localized harmonic source and scattered from one side of the kink. By computing the transmission and reflection coefficients over the entire phonon band, we demonstrate that the scattering properties depend strongly on the lattice spacing. In the weak-discreteness regime (h<1), the kink is nearly transparent and phonons are transmitted through it over most of the phonon spectrum. In contrast, for strong discreteness (h>1), significant reflection emerges even though the corresponding continuum ϕ4 kink is reflectionless. We further show that depending on the frequency of the incoming phonons, the kink experiences negative radiation pressure and is accelerated toward the incoming phonons for all lattice spacings considered, and this effect is much stronger for the strong discretness. The frequency dependence of the kink velocity and energy transfer is explained in terms of resonances associated with Doppler-shifted phonon frequencies and extrema of the phonon group velocity. Our results reveal that strong lattice discreteness can qualitatively modify phonon-kink interactions even in systems where the static Peierls-Nabarro potential is absent.
Versions
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BibTeX
@misc{saadatmand2026resonance,
title = {{A resonance in phonons scattering off a kink in the absence of a Peierls-Nabarro potential}},
author = {Danial Saadatmand and Arpine Piloyan and David Amundsen and Aliakbar Moradi Marjaneh},
howpublished = {arXiv},
year = {2026},
month = aug,
doi = {10.48550/arxiv.2607.01450},
eprint = {2607.01450},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2607.01450},
note = {CC BY 4.0},
}
RIS
TY - UNPB
TI - A resonance in phonons scattering off a kink in the absence of a Peierls-Nabarro potential
AU - Danial Saadatmand
AU - Arpine Piloyan
AU - David Amundsen
AU - Aliakbar Moradi Marjaneh
PY - 2026
DA - 2026/08/19
PB - arXiv
DO - 10.48550/arxiv.2607.01450
UR - https://arxiv.org/abs/2607.01450
AB - We investigate the interaction of small-amplitude waves called phonons, with an initially static kink in an exceptional discretization of the ϕ^4 model that is free of the Peierls-Nabarro potential. Phonons are generated by a localized harmonic source and scattered from one side of the kink. By computing the transmission and reflection coefficients over the entire phonon band, we demonstrate that the scattering properties depend strongly on the lattice spacing. In the weak-discreteness regime (h<1), the kink is nearly transparent and phonons are transmitted through it over most of the phonon spectrum. In contrast, for strong discreteness (h>1), significant reflection emerges even though the corresponding continuum ϕ^4 kink is reflectionless. We further show that depending on the frequency of the incoming phonons, the kink experiences negative radiation pressure and is accelerated toward the incoming phonons for all lattice spacings considered, and this effect is much stronger for the strong discretness. The frequency dependence of the kink velocity and energy transfer is explained in terms of resonances associated with Doppler-shifted phonon frequencies and extrema of the phonon group velocity. Our results reveal that strong lattice discreteness can qualitatively modify phonon-kink interactions even in systems where the static Peierls-Nabarro potential is absent.
ER -