Magnetization Plateau of Classical Ising Model on Shastry-Sutherland Lattice

TL;DR

This paper investigates the classical Ising model on the Shastry-Sutherland lattice, revealing a stable magnetization plateau at one third saturation, and analyzes how temperature and frustration influence this phenomenon.

Contribution

It introduces a tensor renormalization group approach to study large classical spin systems and characterizes the magnetization plateau in this specific lattice model.

Findings

A stable magnetization plateau at one third saturation is identified.

Plateau width varies with temperature and magnetic frustration.

Zero-temperature spin configuration of the plateau state is determined.

Abstract

We study the magnetization for the classical antiferromagnetic Ising model on the Shastry-Sutherland lattice using the tensor renormalization group approach. With this method, one can probe large spin systems with little finite-size effect. For a range of temperature and coupling constant, a single magnetization plateau at one third of the saturation value is found. We investigate the dependence of the plateau width on temperature and on the strength of magnetic frustration. Furthermore, the spin configuration of the plateau state at zero temperature is determined.