An Efficient Parallel Solution to the Wigner-Poisson Equations

A new model for studying the behavior of nanoscale tunneling devices has been developed in C++ using the Wigner-Poisson formulation. This model incorporates the parallel solvers of Sandia National Lab’s Trilinos software with the efficient use of parallel data structures to create a code that scales well to a high number of processors. It also incorporates non-uniform meshes to discretize the solution space and higher order numerical methods to reduce simulation run times and increase numerical accuracy. The improvements inherent in the new C++ model will improve the quality of numerical simulations, and allow longer and more complex nanoscale devices to be modeled. 1