Soliton dynamics and Peierls-Nabarro barrier in a discrete molecular chain

Larissa Brizhik, Alexander Eremko, Leonor Cruzeiro-Hansson, Yulia Olkhovska

Research output: Contribution to journalArticle

Abstract

We investigate the motion of a self-localized quasiparticle in a discrete lattice taking into account the interaction of the quasiparticle with the vibrations of the lattice. Using an original method to control the velocity of solitonlike excitations in a discrete system, the dependence of their velocity, momentum, and energy on the carrying wave vector is analyzed. The velocity of the solitonlike excitations is found to saturate at wave vectors below those predicted by continuum models. This is as found in experimental observations. Also, the properties of the Peierls-Nabarro relief, caused by the lattice discreteness, and pinning of a soliton by this barrier, are studied. The influence of the initial condition on the Peierls-Nabarro barrier and soliton motion is investigated. For low-width solitons, a critical value of the wave vector is needed to overcome the Peierls-Nabarro barrier. ©2000 The American Physical Society.

Original languageEnglish
Pages (from-to)1129-1141
Number of pages13
JournalPhysical Review B: Condensed Matter and Materials Physics
Volume61
Issue number2
Publication statusPublished - 1 Jan 2000

Fingerprint

molecular chains
solitary waves
excitation
continuums
momentum
vibration
interactions
energy

Cite this

Brizhik, L., Eremko, A., Cruzeiro-Hansson, L., & Olkhovska, Y. (2000). Soliton dynamics and Peierls-Nabarro barrier in a discrete molecular chain. Physical Review B: Condensed Matter and Materials Physics, 61(2), 1129-1141.
Brizhik, Larissa ; Eremko, Alexander ; Cruzeiro-Hansson, Leonor ; Olkhovska, Yulia. / Soliton dynamics and Peierls-Nabarro barrier in a discrete molecular chain. In: Physical Review B: Condensed Matter and Materials Physics. 2000 ; Vol. 61, No. 2. pp. 1129-1141.
@article{be8802720fe147ec824ae01879cb57ab,
title = "Soliton dynamics and Peierls-Nabarro barrier in a discrete molecular chain",
abstract = "We investigate the motion of a self-localized quasiparticle in a discrete lattice taking into account the interaction of the quasiparticle with the vibrations of the lattice. Using an original method to control the velocity of solitonlike excitations in a discrete system, the dependence of their velocity, momentum, and energy on the carrying wave vector is analyzed. The velocity of the solitonlike excitations is found to saturate at wave vectors below those predicted by continuum models. This is as found in experimental observations. Also, the properties of the Peierls-Nabarro relief, caused by the lattice discreteness, and pinning of a soliton by this barrier, are studied. The influence of the initial condition on the Peierls-Nabarro barrier and soliton motion is investigated. For low-width solitons, a critical value of the wave vector is needed to overcome the Peierls-Nabarro barrier. {\circledC}2000 The American Physical Society.",
author = "Larissa Brizhik and Alexander Eremko and Leonor Cruzeiro-Hansson and Yulia Olkhovska",
year = "2000",
month = "1",
day = "1",
language = "English",
volume = "61",
pages = "1129--1141",
journal = "Physical Review B: Condensed Matter and Materials Physics",
issn = "1098-0121",
publisher = "American Physical Society",
number = "2",

}

Brizhik, L, Eremko, A, Cruzeiro-Hansson, L & Olkhovska, Y 2000, 'Soliton dynamics and Peierls-Nabarro barrier in a discrete molecular chain', Physical Review B: Condensed Matter and Materials Physics, vol. 61, no. 2, pp. 1129-1141.

Soliton dynamics and Peierls-Nabarro barrier in a discrete molecular chain. / Brizhik, Larissa; Eremko, Alexander; Cruzeiro-Hansson, Leonor; Olkhovska, Yulia.

In: Physical Review B: Condensed Matter and Materials Physics, Vol. 61, No. 2, 01.01.2000, p. 1129-1141.

Research output: Contribution to journalArticle

TY - JOUR

T1 - Soliton dynamics and Peierls-Nabarro barrier in a discrete molecular chain

AU - Brizhik, Larissa

AU - Eremko, Alexander

AU - Cruzeiro-Hansson, Leonor

AU - Olkhovska, Yulia

PY - 2000/1/1

Y1 - 2000/1/1

N2 - We investigate the motion of a self-localized quasiparticle in a discrete lattice taking into account the interaction of the quasiparticle with the vibrations of the lattice. Using an original method to control the velocity of solitonlike excitations in a discrete system, the dependence of their velocity, momentum, and energy on the carrying wave vector is analyzed. The velocity of the solitonlike excitations is found to saturate at wave vectors below those predicted by continuum models. This is as found in experimental observations. Also, the properties of the Peierls-Nabarro relief, caused by the lattice discreteness, and pinning of a soliton by this barrier, are studied. The influence of the initial condition on the Peierls-Nabarro barrier and soliton motion is investigated. For low-width solitons, a critical value of the wave vector is needed to overcome the Peierls-Nabarro barrier. ©2000 The American Physical Society.

AB - We investigate the motion of a self-localized quasiparticle in a discrete lattice taking into account the interaction of the quasiparticle with the vibrations of the lattice. Using an original method to control the velocity of solitonlike excitations in a discrete system, the dependence of their velocity, momentum, and energy on the carrying wave vector is analyzed. The velocity of the solitonlike excitations is found to saturate at wave vectors below those predicted by continuum models. This is as found in experimental observations. Also, the properties of the Peierls-Nabarro relief, caused by the lattice discreteness, and pinning of a soliton by this barrier, are studied. The influence of the initial condition on the Peierls-Nabarro barrier and soliton motion is investigated. For low-width solitons, a critical value of the wave vector is needed to overcome the Peierls-Nabarro barrier. ©2000 The American Physical Society.

UR - http://www.scopus.com/inward/record.url?scp=16644386039&partnerID=8YFLogxK

M3 - Article

VL - 61

SP - 1129

EP - 1141

JO - Physical Review B: Condensed Matter and Materials Physics

JF - Physical Review B: Condensed Matter and Materials Physics

SN - 1098-0121

IS - 2

ER -