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19962025
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cond-mat.stat-mech2020★ 2 cited

(Four) Dual Plaquette 3D Ising Models

Desmond A. Johnston, R. P. K. C. M. Ranasinghe

A characteristic feature of the 3d plaquette Ising model is its planar subsystem symmetry. The quantum version of this model has been shown to be related via a duality to the X-Cub…

cond-mat.stat-mech2013★ 11 cited

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…

cond-mat.stat-mech2013★ 8 cited

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…

cond-mat.stat-mech2011★ 7 cited

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…

cond-mat.stat-mech2007★ 1 cited

The Gonihedric Ising Model and Glassiness

D. A. Johnston, A. Lipowski, Ranasinghe P. K. C. Malmini

The Gonihedric 3D Ising model is a lattice spin model in which planar Peierls boundaries between + and - spins can be created at zero energy cost. Instead of weighting the area of…

cond-mat.stat-mech2002★ 37 cited

The Information Geometry of the Ising Model on Planar Random Graphs

W. Janke, D. A. Johnston, Ranasinghe P. K. C. Malmini

It has been suggested that an information geometric view of statistical mechanics in which a metric is introduced onto the space of parameters provides an interesting alternative c…

cond-mat.stat-mech2001

Decorating Random Quadrangulations

D. A. Johnston, R. P. K. C. Malmini

On various regular lattices (simple cubic, body centred cubic..) decorating an edge with an Ising spin coupled by bonds of strength L to the original vertex spins and competing wit…