Ising explained it in 1925 and concluded that 1D materials do not have phase transitions. Then, Ising tried to grapple with the same question for a particular type of 2D materials.

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.

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 ...

This is the last in a series of three papers on the history of the Lenz-Ising model from 1920 to the early 1970s. In the first paper, I studied the invention of the model in the 1920s, while in the ...

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 ...

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 ...

Combinatorial optimization problems are at the root of many industrial processes and solving them is key to a more sustainable and efficient future. Ising machines can solve certain combinatorial ...