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Title: Electron-phonon interactions and recurrence phenomena in one-dimensional systems

Abstract

We study the time dependence of a combined system of an electron described by a tight-binding model interacting with vibrational degrees of freedom in a one-dimensional lattice. The time evolution of our coupled model is described by a nonlinear system of differential-difference equations. Apart from localized solutions (polarons) and extended (Bloch-like) solutions, we found that for a small parameter range, there exists a periodic exchange of energy between the electronic and vibrational degrees of freedom: a small part of the electronic energy is transferred to the lattice and then completely back to the electron with an impressive regularity.

Authors:
;  [1];  [2]
  1. Ames Laboratory and Department of Physics and Astronomy, Iowa State University, Ames, Iowa 50011 (United States)
  2. Research Center of Crete, P.O. Box 1527, 71110 Heraklion, Crete (Greece)
Publication Date:
Research Org.:
Ames National Laboratory
OSTI Identifier:
142620
DOE Contract Number:  
W-7405-ENG-82
Resource Type:
Journal Article
Journal Name:
Physical Review, B: Condensed Matter
Additional Journal Information:
Journal Volume: 49; Journal Issue: 10; Other Information: PBD: 1 Mar 1994
Country of Publication:
United States
Language:
English
Subject:
66 PHYSICS; ELECTRON-PHONON COUPLING; ONE-DIMENSIONAL CALCULATIONS; TIME DEPENDENCE; POLARONS; MANY-BODY PROBLEM; SCHROEDINGER EQUATION

Citation Formats

Kopidakis, G., Soukoulis, C.M., and Economou, E.N.. Electron-phonon interactions and recurrence phenomena in one-dimensional systems. United States: N. p., 1994. Web. doi:10.1103/PhysRevB.49.7036.
Kopidakis, G., Soukoulis, C.M., & Economou, E.N.. Electron-phonon interactions and recurrence phenomena in one-dimensional systems. United States. doi:10.1103/PhysRevB.49.7036.
Kopidakis, G., Soukoulis, C.M., and Economou, E.N.. Tue . "Electron-phonon interactions and recurrence phenomena in one-dimensional systems". United States. doi:10.1103/PhysRevB.49.7036.
@article{osti_142620,
title = {Electron-phonon interactions and recurrence phenomena in one-dimensional systems},
author = {Kopidakis, G. and Soukoulis, C.M. and Economou, E.N.},
abstractNote = {We study the time dependence of a combined system of an electron described by a tight-binding model interacting with vibrational degrees of freedom in a one-dimensional lattice. The time evolution of our coupled model is described by a nonlinear system of differential-difference equations. Apart from localized solutions (polarons) and extended (Bloch-like) solutions, we found that for a small parameter range, there exists a periodic exchange of energy between the electronic and vibrational degrees of freedom: a small part of the electronic energy is transferred to the lattice and then completely back to the electron with an impressive regularity.},
doi = {10.1103/PhysRevB.49.7036},
journal = {Physical Review, B: Condensed Matter},
number = 10,
volume = 49,
place = {United States},
year = {1994},
month = {3}
}