Bound states of electrons with soliton-like excitations in thermal systems - adiabatic approximations

• Main Authors: W. Ebeling, M.G. Velarde, A.P. Chetverikov
• Format: Article
• Language: English
• Published: Institute for Condensed Matter Physics 2009-01-01
• Series: Condensed Matter Physics
• Subjects: nonlinear lattice; electron lattice interactions; solectrons; adiabatic approximations
• Online Access: http://dx.doi.org/10.5488/CMP.12.4.633

We study the bound states of electrons with solitonic excitations in one and two-dimensional 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 quantum-mechanical dynamics of the electrons on the lattice in tight-binding approximation (TBA). Further we consider the formation of solectrons, i. e., dynamic electron-soliton bound states in adiabatic approximations based on the energy spectrum and the canonical distribution.