Solitons in a one-dimensional Wigner crystal
Strongly Correlated Electrons
2015-04-20 v2 Mesoscale and Nanoscale Physics
Quantum Gases
Abstract
In one-dimensional quantum systems with strong long-range repulsion particles arrange in a quasi-periodic chain, the Wigner crystal. We demonstrate that besides the familiar phonons, such one-dimensional Wigner crystal supports an additional mode of elementary excitations, which can be identified with solitons in the classical limit. We compute the corresponding excitation spectrum and argue that the solitons have a parametrically small decay rate at low energies. We discuss implications of our results for the behavior of the dynamic structure factor.
Cite
@article{arxiv.1409.6721,
title = {Solitons in a one-dimensional Wigner crystal},
author = {M. Pustilnik and K. A. Matveev},
journal= {arXiv preprint arXiv:1409.6721},
year = {2015}
}