Square lattice Ising model information

mechanics, the two-dimensional square lattice Ising model is a simple lattice model of interacting magnetic spins. The model is notable for having nontrivial...

phases. The model allows the identification of phase transitions as a simplified model of reality. The two-dimensional square-lattice Ising model is one of...

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...

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...

ZN{\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...

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...

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...

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

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...

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...

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

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...

(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...

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

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...

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

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...

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

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...

form of Eq. (14) corresponds identically to the Ising model of ferromagnetism except that in the Ising model, the dot product of the two spin angular momenta...

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

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...

fully-frustrated Ising model on a two-dimensional periodic lattice. To see that, we note that at the ground state, each plaquette of the spin model must contain...

treats the vibrations of the atomic lattice (heat) as phonons in a box in contrast to the Einstein photoelectron model, which treats the solid as many individual...

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...

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....