Propagação de pacotes de ondas em um canal poroso

Abstract

Theoretical and experimental description of the wave packet propagation in low di- mensional systems, are of great importance for the study of this system, as they are

fundamental pieces for the construction of an electronic device. This work presents a theoretical research on electron transport in semiconductor systems formed by quantum wires obstructed by barriers (pores) through different widths of channels for electron output. The theoretical model used is based on the time-dependent numerical solution of the Schrödinger equation, using the effective mass approximation, the mathematical formalism of the envelope function and the split-operator technique. The split-operator

technique allows the separation of non-switching operands, simplifying the numerical so- lution of the time-dependent Schrödinger equation. The investigated channel widths are

L10 = 10 nm, L15 = 15 nm, L20 = 20 nm, L30 = 30 nm , L40 = 40 nm and L50 = 50 nm and the kinetic energies of the wave packets used are ε1 = 70 meV , ε2 = 140 meV and ε3 = 180 meV . The containment potential in these systems is in the direction of the y axis. The objective is to investigate the dynamics of wave packet propagation under the effect of scattering produced by obstruction potentials (pores) as a function of the width of the channel.