Real-space perturbation theory for frustrated magnets: application to magnetization plateaus

TL;DR

This paper introduces a real-space perturbation method to analyze degeneracy lifting in frustrated magnets, providing insights into magnetization processes in triangular and kagome antiferromagnets.

Contribution

It develops a unified real-space perturbation approach for frustrated magnets, including external fields, and applies it to specific antiferromagnetic systems.

Findings

Calculated lowest-order contributions for Heisenberg Hamiltonian.

Analyzed magnetization processes in triangular and kagome antiferromagnets.

Provided a framework for understanding degeneracy lifting in frustrated systems.

Abstract

We present a unified approach to the problem of degeneracy lifting in geometrically frustrated magnets with and without an external field. The method treats fluctuations around a classical spin configuration in terms of a real-space perturbation expansion. We calculate two lowest-order contributions for the Heisenberg spin Hamiltonian and use them to study the magnetization processes of spin-$S$ triangular and kagom\'e antiferromagnets.