The Dual Gonihedric 3D Ising Model

Details The Dual Gonihedric 3D Ising Model The Dual Gonihedric 3D Ising Model

2011-04-16

arxiv.org/abs/1104.3224v1

J. Phys. A: Math. Theor. 44 (2011) 295004

Physics

Condensed Matter

Statistical Mechanics

17 pages, 12 figures

Scientific paper

10.1088/1751-8113/44/29/295004

We investigate the dual of the kappa=0 Gonihedric Ising model on a 3D cubic lattice, which may be written as an anisotropically coupled Ashkin-Teller model. The original kappa=0 Gonihedric model has a purely plaquette interaction, displays a first order transition and possesses a highly degenerate ground state. We find that the dual model admits a similar large ground state degeneracy as a result of the anisotropic couplings and investigate the coupled mean field equations for the model on a single cube. We also carry out Monte Carlo simulations which confirm a first order phase transition in the model and suggest that the ground state degeneracy persists throughout the low temperature phase. Some exploratory cooling simulations also hint at non-trivial dynamical behaviour.

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