Matching Kasteleyn Cities for Spin Glass Ground States

@article{Thomas2007MatchingKC,
  title={Matching Kasteleyn Cities for Spin Glass Ground States},
  author={Creighton K. Thomas and A. Alan Middleton},
  journal={Physical Review B},
  year={2007},
  volume={76},
  pages={220406}
}
As spin glass materials have extremely slow dynamics, devious numerical methods are needed to study low-temperature states. A simple and fast optimization version of the classical Kasteleyn treatment of the Ising model is described and applied to two-dimensional Ising spin glasses. The algorithm combines the Pfaffian and matching approaches to directly strip droplet excitations from an excited state. Extended ground states in Ising spin glasses on a torus, which are optimized over all boundary… Expand

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