An Exact Result for the Partition Function of Two-Dimensional Nearest Neighbour Ising Models in Non-Zero Magnetic Field

TL;DR

This paper derives an exact expression for the partition function of 2D nearest neighbor Ising models in a non-zero magnetic field using a matrix formulation, advancing theoretical understanding of these models.

Contribution

It provides the first exact solution for the partition function of 2D Ising models with non-zero magnetic field, which was previously unresolved.

Findings

Exact partition function derived

Enhanced understanding of magnetic field effects

Potential applications in statistical physics

Abstract

The partition function of two-dimensional nearest neighbour Ising models in a non-zero magnetic field is derived employing a matrix formulation.