11 citations · 27 across the 5 of their papers we have counts for
5 papers
Potts Models with Invisible States on General Bethe Lattices
N. Ananikian, N. Sh. Izmailyan, D. A. Johnston +2
The number of so-called invisible states which need to be added to the q-state Potts model to transmute its phase transition from continuous to first order has attracted recent att…
Potts Models with (17) Invisible States on Thin Graphs
D. A. Johnston, R. P. K. C. M. Ranasinghe
The order of a phase transition is usually determined by the nature of the symmetry breaking at the phase transition point and the dimension of the model under consideration. For i…
A Gauge Invariant Dual Gonihedric 3D Ising Model
D. A. Johnston, R. P. K. C. M. Ranasinghe
We note that two formulations of dual gonihedric Ising models in 3d, one based on using Wegner's general framework for duality to construct a dual Hamiltonian for codimension one s…
Another Dual Gonihedric 3D Ising Model
D. A. Johnston, R. P. K. C. M. Ranasinghe
The gonihedric Ising Hamiltonians defined in three and higher dimensions by Savvidy and Wegner provide an extensive, and little explored, catalogue of spin models on (hyper)cubic l…
The Dual Gonihedric 3D Ising Model
D. A. Johnston, R. P. K. C. M. Ranasinghe
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 Go…