Abstract
Monte Carlo (MC) and Molecular Dynamics (MD) simulations are powerful tools for understanding the low temperature properties of systems of interacting electrons and phonons in a solid, including the phenomena of magnetism and superconductivity. When mobile electrons are studied, these simulations are currently limited to a few hundred particles, and also largely to “clean” systems where no defects are present. Therefore, more powerful machines and algorithms must be used to address many of the most important issues in the field. In this paper, we present results from using some simple implementations of the p4 parallel programming system on a variety of parallel architectures to conduct MC and MD simulations of one and two dimensional electron-phonon models.
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