2014/09/30 by M. Pustilnik, K. A. Matveev, К. А. Матвеев · 1 citation
Mathematics · Physics and Astronomy · #Cold Atom Physics and Bose-Einstein Condensates #Condensed matter physics #Crystal (programming language) #Electron #Excitation #Limit (mathematics) #Materials science #Mathematical analysis #Mathematics #Phonon #Physics #Quantum #Quantum and electron transport phenomena #Quantum mechanics #Quantum, superfluid, helium dynamics #Range (aeronautics) #Spectrum (functional analysis) #Wigner crystal #cond-mat.mes-hall #cond-mat.quant-gas #cond-mat.str-el
paper · pdf · doi:10.1103/physrevb.91.165416
published as Phys. Rev. B 91, 165416 (2015)
openalex publication_date 2015/04/16 · arxiv created 2015/04/17 · arxiv updated 2015/04/20 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
In one-dimensional quantum systems with strong long-range repulsion particles arrange in a quasiperiodic 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.