Dinâmica de um pacote de onda em uma rede não-linear com relaxação

Abstract

In solid state physics is essential to study electronic transport phenomena, so that we can understand and enhance the knowledge of the particles and quasi-particles in many systems. In this context, to understand these phenomena, we study the interaction between the vibrational modes of the lattice and the electron, known as electron-phonon interaction. As a tool for understanding this interaction, uses the non-linear equation with Schrödinger adiabatic approximation in which the vibrations reach the lattice faster than the electronic evolution or without adiabatic approximation balance, which is the case used in this study. We will analyze the dynamics of an electron along a fullerene (C60). We use eight kinds of initial conditions for the electronic wave packet: Hexagon, Pentagon, Hexagon- Extended, Pentagon-Extended, Hexagon-Double, Hexagon-Pentagon, Hexagon-Opposite and Pentagon-Opposite, the dynamics of the wave packet governed by Schrödinger nonlinear discrete equation. We present the phase diagram in the two-dimensional parameter space x nonlinear coupling to the relaxation time t ) that reveals a complex dynamic behavior for the wave packet. Show that under certain conditions the initial wave packet has behavior extended or located (selftrapping) type.