two-dimensional square lattice Ising model is a simple lattice model of interacting magnetic spins, an example of the class of Ising models. The model is notable...

two-dimensional square-lattice Ising model is one of the simplest statistical models to show a phase transition. Though it is a highly simplified model of a magnetic...

the Potts model, a generalization of the Ising model, is a model of interacting spins on a crystalline lattice. By studying the Potts model, one may gain...

the free energy of a two-dimensional square-lattice Ising model at a low temperature to that of another Ising model at a high temperature. It was discovered...

simplest models that shows a phase transition. Lars Onsager famously calculated exactly the free energy of an infinite-sized square-lattice Ising model at zero...

in physical materials as other lattices, it can still provide useful insight. The Ising model is a mathematical model of ferromagnetism, in which the...

Baxter in the zero-field case. As with the ice-type models, the eight-vertex model is a square lattice model, where each state is a configuration of arrows...

found for a few toy models. Some examples include the Bethe ansatz, square-lattice Ising model in zero field, hard hexagon model. Although some problems...

XY model (sometimes also called classical rotor (rotator) model or O(2) model) is a lattice model of statistical mechanics. In general, the XY model can...

quantum mechanically. It is related to the prototypical Ising model, where at each site of a lattice, a spin σ i ∈ { ± 1 } {\displaystyle \sigma _{i}\in \{\pm...

1D Ising model, which is already solved by Ising himself. He then computed the transfer matrix of the "Ising ladder", meaning two 1D Ising models side-by-side...

{\displaystyle Z_{N}} model (also known as the clock model) is a simplified statistical mechanical spin model. It is a generalization of the Ising model. Although...

theory via the Ising model. The Kramers–Wannier duality yields the exact location of the critical point for the Ising model on the square lattice. Wannier received...

atom or particle). This contrasts with a nearest-neighbour model, such as the Ising model, in which the energy, and thus the Boltzmann weight of a statistical...

simulate the Ising model (a model of magnetism) on a computer. The algorithm is named after Roy J. Glauber. The Ising model is an abstract model for the magnetic...

frequently employed to study lattice models, including the Hubbard model, Ising model, Heisenberg model, t-J model, and SYK model. After determining the eigenstates...

On a square lattice, symmetries guarantee that the coefficients Zi of the derivative terms are all equal. But even for an anisotropic Ising model, where...

(percolation) first occurs. The most common percolation model is to take a regular lattice, like a square lattice, and make it into a random network by randomly...

the Fortuin–Kasteleyn random cluster model, which has many connections with the Ising model and other Potts models. Bernoulli (bond) percolation on complete...

of the fully-frustrated Ising model on a two-dimensional periodic lattice. At the ground state, each plaquette of the spin model must contain exactly one...

Ising model. In this model, we have spins arranged on a d {\displaystyle d} -dimensional lattice with only nearest neighbor interactions. This model can...

Toulouse, G. (1977). "Theory of the frustration effect. II. Ising spins on a square lattice". Journal of Physics C: Solid State Physics. 10 (18): 537....

the Ising model lattice. So this anomalous dimension in the conformal field theory is the same as a particular critical exponent of the Ising model phase...

This model is a directed variant of ordinary (isotropic) percolation and can be introduced as follows. The figure shows a tilted square lattice with bonds...

statistical lattice models 8-vertex model Gaudin model Ising model in 1- and 2-dimensions Ice-type model of Lieb Quantum Heisenberg model Hitchin system...

etc. the random cluster model is a random graph that generalizes and unifies the Ising model, Potts model, and percolation model. It is used to study random...

studied even before. Early work includes a study of the Ising model on a triangular lattice with nearest-neighbor spins coupled antiferromagnetically...

dimensions or when exact solutions are known such as the two-dimensional Ising model. The theoretical treatment in generic dimensions requires the renormalization...

Catalan polyhedra and tilings, p288 table) Stephenson, John (1970), "Ising Model with Antiferromagnetic Next-Nearest-Neighbor Coupling: Spin Correlations...

The spherical model is a model of ferromagnetism similar to the Ising model, which was solved in 1952 by T. H. Berlin and M. Kac. It has the remarkable...