English

A cluster algorithm for resistively shunted Josephson junctions

Superconductivity 2007-05-23 v4 Statistical Mechanics

Abstract

We present a cluster algorithm for resistively shunted Josephson junctions and similar physical systems, which dramatically improves sampling efficiency. The algorithm combines local updates in Fourier space with rejection-free cluster updates which exploit the symmetries of the Josephson coupling energy. As an application, we consider the localization transition of a single junction at intermediate Josephson coupling and determine the temperature dependence of the zero bias resistance as a function of dissipation strength.

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Cite

@article{arxiv.cond-mat/0409664,
  title  = {A cluster algorithm for resistively shunted Josephson junctions},
  author = {Philipp Werner and Matthias Troyer},
  journal= {arXiv preprint arXiv:cond-mat/0409664},
  year   = {2007}
}

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4 pages