Monte Carlo Analysis of Quantum Transport and Fluctuations in Semiconductors

摘要

The present report contains technical matter related to the research performed on two different subjects. The first part concerns with quantum transport in semiconductors. A unified review of the work already published in the literature is given together with some attempts to generalize Monte Carlo methods to quantum transport within the Liouville formulation. The second part concerns with fluctuations of carrier velocities and energies both in stationary and transient regime, described by means of the correlation-function method. An analysis of the results, obtained through a Monte Carlo procedure, for covalent and polar materials yields a deep physical picture of the effect of the scattering mechanisms (phonon and carrier-carrier interactions) on the transport properties. Keywords: Monte Carlo; Charge Transport; Quantum Transport; Fluctuations; Semiconductor Physics; Master Equation; Boltzmann Equation; Langevin Equation; Green Functions; Wigner Function; Drift Velocity; Mean Energy; Stationary Regimes; Transient Regimes; Diffusivity; Autocorrelation Functions; Relaxation effects; Electron electron Interaction.