Duality and even number spin-correlation functions in the two dimensional square lattice ising model

TL;DR

This paper demonstrates that the Kramers-Wannier duality applies to all even-number spin correlation functions in the 2D square lattice Ising model, linking high and low temperature expressions through duality transformations.

Contribution

It extends the Kramers-Wannier duality to encompass all even-number spin correlation functions in the 2D Ising model, showing their transformation between temperature regimes.

Findings

High temperature correlation functions transform into low temperature ones under duality.

Duality applies to all even-number spin correlations.

Provides a unified understanding of correlation functions across phases.

Abstract

The Kramers-Wannier duality is shown to hold for all the even number spin correlation functions of the two dimensional square lattice Ising model in the sense that the high temperature $(T>T_{c})$ expressions for these correlation functions are transformed into the low temperature $(T<T_{c})$ expressions under this duality transformations.