Annals of Mathematics, SECOND SERIES, Vol. 181, No. 3 (May, 2015), pp. 1087-1138 (52 pages) We rigorously prove the existence and the conformal invariance of scaling limits of the magnetization and ...

Scientists have demonstrated the magnetic behavior of a special class of 2D materials. This is the first experimental proof to a theory proposed more than 70 years ago. PARK Je-Geun, Associate ...

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 in ...

The central selling point of qubit-based quantum processors is that they can supposedly solve certain types of tasks much faster than a classical computer. This comes however with the major ...

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 ...

In the nanoworld, magnetism has proven to be truly surprising. Just a few atoms thick, magnetic 2D materials could help to satisfy scientists' curiosities and fulfil dreams for ever-smaller ...

Say that a graph has persistent transition if the Ising model on the graph can exhibit a phase transition (nonuniqueness of Gibbs measures) in the presence of a nonzero external field. We show that ...

This is a simplified representation of the 2-D magnetic phase transition. (Image: IBS) Recently, scientists all over the world are investigating the properties and applications of extremely thin 2D ...