English

A gauge invariant cluster algorithm for the Ising spin glass

High Energy Physics - Lattice 2007-05-23 v1 Statistical Mechanics High Energy Physics - Theory

Abstract

The frustrated Ising model in two dimensions is revisited. The frustration is quantified in terms of the number of non-trivial plaquettes which is invariant under the Nishimori gauge symmetry. The exact ground state energy is calculated using Edmond's algorithm. A novel cluster algorithm is designed which treats gauge equivalent spin glasses on equal footing and allows for efficient simulations near criticality. As a first application, the specific heat near criticality is investigated.

Keywords

Cite

@article{arxiv.hep-lat/0606009,
  title  = {A gauge invariant cluster algorithm for the Ising spin glass},
  author = {K. Langfeld and M. Quandt and W. Lutz and H. Reinhardt},
  journal= {arXiv preprint arXiv:hep-lat/0606009},
  year   = {2007}
}

Comments

4 pages, 4 eps figures included

R2 v1 2026-07-22T13:16:55.067Z