Stochastic Algorithm for Solving the Wigner-Boltzmann Correction Equation
The quantum-kinetics of current carriers in modern nanoscale semiconductor devices is determined by the interplay between coherent phenomena and processes which destroy the quantum phase correlations. The carrier behavior has been recently described with a two-stage Wigner function model, where the phase-breaking effects are considered as a correction to the coherent counterpart. The correction function satisfies a Boltzmann-like equation.
A stochastic method for solving the equation for the correction function is developed in this work, under the condition for an a-priori knowledge of the coherent Wigner function. The steps of an almost optimal algorithm for a stepwise evaluation of the correction function are presented. The algorithm conforms the well established Monte Carlo device simulation methods, and thus allows an easy implementation.
KeywordsWigner Function Stochastic Algorithm Coherent Phenomenon Newton Trajectory Dimensional Space Formulation
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