Condensed Matter Physics, 2009, vol. 12, No. 4, pp. 633645
DOI:10.5488/CMP.12.4.633
Title:
Bound states of electrons with solitonlike excitations in thermal systems  adiabatic approximations
Author(s):

W. Ebeling
(Institute of Physics, Humboldt University, Berlin)
,


M.G. Velarde
(Instituto Pluridisciplinar, Universidad Complutense, Madrid)
,


A.P. Chetverikov
(Institute of Physics, Saratov State University, Saratov)

We study the bound states of electrons with solitonic excitations in one and twodimensional atomic systems. We include Morse interactions between the atoms in a temperature range from low to physiological temperatures. The atoms are treated by classical Langevin equations. In a first approach, the places of compressions are visualized by drawing the overlap of the densities of the core electrons. Then we study the effect of nonlinear vibrations on the added, free electrons moving on the background of the atoms. We study the coupled classical and quantummechanical dynamics of the electrons on the lattice in tightbinding approximation (TBA). Further we consider the formation of solectrons, i. e., dynamic electronsoliton bound states in adiabatic approximations based on the energy spectrum and the canonical distribution.
Key words:
nonlinear lattice, electron lattice interactions, solectrons, adiabatic approximations
PACS:
63.20.Ry, 05.60.k, 05.45.Yv, 71.38.k
