Lee-Yang theory, high cumulants, and large-deviation statistics of the magnetization in the Ising model

Abstract

The authors determine the Lee-Yang zeros of an Ising spin lattice in one, two, and three dimensions from the thermodynamic fluctuations that are inherent to critical regions. They can thereby predict the critical behavior of the lattice from remarkably small system sizes and, furthermore, express the large-deviation statistics of the magnetization in terms of the Lee-Yang zeros. The method used by the authors can be applied to a wide range of critical systems both in theory and experiment.

Topics & Concepts