Magnetization plateaus in the Ising limit of the multiple-spin exchange model on plaquette chain

TL;DR

This paper analyzes the magnetization behavior of an Ising spin system derived from a multiple-spin exchange model on a diamond-plaquette chain, revealing exact magnetization plateaux at 1/3 and 2/3 of full magnetization.

Contribution

It provides an exact analytical expression for the free energy and magnetization of the frustrated Ising model on a diamond-plaquette chain, highlighting the presence of magnetization plateaux.

Findings

Magnetization plateaux at 1/3 and 2/3 of full moment.

Exact transfer-matrix solution for the free energy.

High frustration prevents determination of microscopic configurations.

Abstract

We consider the Ising spin system, which stems out from the corresponding Multiple-spin exchange (MSE) Hamiltonian, on the special one--dimensional lattice, diamond-plaquette chain. Using the technique e of transfer-matrix we obtain the exact expression for system free energy with the aid of which we obtain the magnetization function. Analyzing magnetization curves for varies values of temperature and couplin constants we found the magnetization plateaux at 1/3 and 2/3 of the full moment. The corresponding microscopic spin configurations are unknown by virtue of high frustration.