Eur. Phys. J. B 80, 137-145 (2011)
https://doi.org/10.1140/epjb/e2010-10604-0

Soliton-like excitations and solectrons in two-dimensional nonlinear lattices

¹ Instituto Pluridisciplinar, Universidad Complutense de Madrid, Paseo Juan XXIII, 1, 28040 Madrid, Spain
² Dept. of Physics, Saratov State University, Astrakhanskaya 83, 410012 Saratov, Russia
³ Institut für Physik, Humboldt-Universität Berlin, Newtonstrasse 15, 12489 Berlin, Germany

Corresponding author: ^a ebeling@physik.hu-berlin.de

Received: 4 August 2010
Revised: 10 November 2010
Published online: 14 January 2011

Abstract

We discuss here the thermal excitation of soliton-like supersonic, intrinsic localized modes in two-dimensional monolayers of atoms imbedded into a heat bath. These excitations induce local electrical polarization fields at the nano-scale in the lattice which influence electron dynamics, thus leading to a new form of trapping. We study the soliton-mediated electron dynamics in such systems at moderately high temperatures and calculate the density of embedded electrons in a suitable adiabatic approximation.