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A gauge invariant cluster algorithm for the Ising spin glass

K. Langfeld·M. Quandt·W. Lutz·H. Reinhardt
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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.

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BibTeXRIS

K. Langfeld, M. Quandt, W. Lutz, H. Reinhardt. 2006-06-14. A gauge invariant cluster algorithm for the Ising spin glass. https://arxiv.org/abs/hep-lat/0606009

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