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Published in:
2015 | OriginalPaper | Chapter
Parallelization of the Two-Dimensional Wigner Monte Carlo Method
Authors : Josef Weinbub, Paul Ellinghaus, Siegfried Selberherr
Published in: Large-Scale Scientific Computing
Publisher: Springer International Publishing
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Abstract
A parallelization approach for two-dimensional Wigner Monte Carlo quantum simulations using the signed particle method is introduced. The approach is based on a domain decomposition technique, effectually reducing the memory requirements of each parallel computational unit. We depict design and implementation specifics for a message passing interface-based implementation, used in the Wigner Ensemble Monte Carlo simulator, part of the free open source ViennaWD simulation package. Benchmark and simulation results are presented for a time-dependent, two-dimensional problem using five randomly placed point charges. Although additional communication is required, our method offers excellent parallel efficiency for large-scale high-performance computing platforms. Our approach significantly increases the feasibility of computationally highly intricate two-dimensional Wigner Monte Carlo investigations of quantum electron transport in nanostructures.