Generalized Boltzmann relations in semiconductors including band tails

Band tails in disordered systems.

The density of electron states, p(E), in disordered systems in the band-tail region near band edges is investigated. %'e show that the p(E) of the Halperin and Lax type derived by Sa-yakanit predicts, in three dimensions, an exponential (Urbach) band tail for the correlation lengths found in amorphous Si and within the energy range observed in optical absorption near band edges. The simple expo...

Moment inequalities and high-energy tails for electron distribution function of the Boltzmann transport equation in semiconductors

In this paper we prove the existence of the high-energy tails for electron distribution function of the Boltzmann equation for semiconductors, in the stationary and homogeneous regime, in the analytic band approximation and scattering with acoustic and optical phonons and impurities. We also prove numerically that the tail is a global maxwellian in the parabolic band approximation, and in the q...

Time-dependent model for diluted magnetic semiconductors including band structure and confinement effects

About Boltzmann Equations for Transport Modeling in Semiconductors

We present some results on the mathematical analysis of kinetic equations for modelling transport processes in semiconductors. We focus our attention on the connection between the kinetic models and the fluids ones based on driftdiffusion or hydrodynamic equations. Asymptotic analysis gives hydrodynamic coefficients in, terms of microscopic quantities and allows to derive accurate boundary cond...

Parallel Deterministic Solution of the Boltzmann Transport Equation for Semiconductors

Clock frequencies and hence single-threaded processing power of modern processors have saturated because of power constraints. As a consequence, the overall processing power in modern processors mostly stems from parallelization and vectorization. However, parallel processors can only be used efficiently with suitable parallel algorithms. Unfortunately, the design and implementation of such par...