Magnetization plateaux in a generalised ladder model

TL;DR

This paper introduces a generalized ladder model for spin-1/2 antiferromagnets, determining its exact ground state and revealing magnetization plateaux under an external magnetic field.

Contribution

It constructs a new generalized ladder model with exact ground state solutions and analyzes its magnetization behavior under magnetic fields.

Findings

Exact ground state determined for a broad parameter range.

Identification of magnetization plateaux as a function of magnetic field.

Model captures complex magnetic phenomena in ladder systems.

Abstract

A spin-1/2 antiferromagnetic(AFM) generalised ladder model is constructed which consists of four-spin plaquettes, coupled through weaker exchange interactions, to two-spin rungs. In an extended parameter regime, the exact ground state of the ladder is determined. In this state, the four-spin plaquettes and the rungs are in their ground state spin configurations. In the presence of an external magnetic field, the magnetization/site has a plateau structure as a function of the magnetic field.