The Path Integral Monte Carlo Method for Quantum Transport on a Parallel Computer
Based on the Feynman path integral formulation for the time evolution amplitude, we compute the quantum mechanical transition probability for a charge carrier in a semiconductor crystal. Our implementation is performed on a parallel computer (Parsytec GC 64). We discuss the ability of the method to achieve a spatially resolved probability amplitude which is necessary for the analysis of quantum electronic devices. Macroscopic observables are evaluated using this probability function. It complements the conventional distribution function which results from the solution of the semi-classical Boltzmann transport equation.
KeywordsQuantum Transport Boltzmann Transport Equation Resonant Tunneling Diode Momentum Distribution Function Macroscopic Observable
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