A gauge invariant cluster algorithm for the Ising spin glass

Details A gauge invariant cluster algorithm for the Ising spin glass A gauge invariant cluster algorithm for the Ising spin glass

2006-06-14

arxiv.org/abs/hep-lat/0606009v1

Physics

High Energy Physics

High Energy Physics - Lattice

4 pages, 4 eps figures included

Scientific paper

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.

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