Simulated low temperature (left) and high temperature (right) phase of a 2D Ising model, where blue points are spins pointing up, and the red points are spins pointing down. Notice that the spins ...

Indeed, Onsager found that the materials, which follow the Ising spin model, have a phase transition. However, despite the huge importance this theory has in the following development of the whole ...

Dmitry Chelkak, Clément Hongler, Konstantin Izyurov, Conformal invariance of spin correlations in the planar Ising model, Annals of Mathematics, SECOND SERIES, Vol. 181, No. 3 (May, 2015), pp.

In the case of the XY model, the spin follows x- and y- axis on a plane, and in the Heisenberg model, spins take various directions, much like how clock hands point in a number of directions.

Hastings and colleagues found that the 2D Ising model predicts the same statistics as those observed for the scale-invariant spatial correlations between trees in 2003–2004. They also confirmed that ...

That this shouldn’t be a hindrance was the point of an article published last year by IBM researchers where they demonstrated a speed-up of a Trotterized time evolution of a 2D transverse-field ...