Numeric calculation of antiferromagnetic resonance frequencies for the noncollinear antiferromagnet

TL;DR

This paper introduces a numerical algorithm for calculating antiferromagnetic resonance frequencies in complex noncollinear antiferromagnets, applicable to various spin structures and implemented in MATLAB and C++.

Contribution

The paper presents a novel, general algorithm for numerically computing resonance frequencies in noncollinear antiferromagnets, extending previous analytical methods.

Findings

Algorithm successfully computes resonance frequencies for complex spin structures.

Program codes are validated against analytical solutions.

Available implementations facilitate research in magnetic dynamics.

Abstract

We present an algorithm for the numeric calculation of antiferromagnetic resonance frequencies for the non-collinear antiferromagnets of general type. This algorithm uses general exchange symmetry approach \cite{andrmar} and is applicable for description of low-energy dynamics of an arbitrary noncollinear spin structure in weak fields. Algorithm is implemented as a MatLab and C++ program codes, which are available for download. Program codes are tested against some representative analytically solvable cases.