The Dual Gonihedric 3D Ising Model

D. A. Johnston, R. Ranasinghe

Research output: Contribution to journalArticlepeer-review

7 Citations (Scopus)
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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.
Original languageEnglish
Article number295004
JournalJournal of Physics A: Mathematical and Theoretical
Issue number29
Publication statusPublished - 22 Jul 2011


  • cond-mat.stat-mech


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