Spontaneous magnetization of Kagome lattice in Ising model

TL;DR

This paper critically examines the existence of spontaneous magnetization in the Kagome lattice within the Ising model, providing an exact Onsager-form expression and refuting previous claims of such magnetization.

Contribution

It offers a rigorous proof against earlier claims of spontaneous magnetization and derives an exact expression for the anisotropic case in the Kagome lattice.

Findings

Refutes previous claims of spontaneous magnetization in Kagome lattice

Provides an exact Onsager-form expression for anisotropic case

Clarifies the conditions under which magnetization occurs or does not occur

Abstract

The spontaneous magnetization of the Kagome lattice in the Ising model is investigated. The proof of the fallacy of spontaneous magnetization obtained earlier and repeatedly migrating from publication to publication is given. An exact expression is presented in the standard Onsager form for spontaneous magnetization in the anisotropic case (depending on arbitrary values and signs of exchange interactions in all three directions in the Kagome lattice).