Quadratic-in-magnetization permittivity and conductivity tensor in cubic crystals

TL;DR

This paper derives the second-order magnetization-dependent permittivity and conductivity tensors for cubic crystals, accounting for various orientations and providing methods to extract tensor elements from experiments and calculations.

Contribution

It introduces a comprehensive formulation of quadratic magnetization effects on permittivity and conductivity tensors in cubic crystals, applicable to different surface orientations.

Findings

Tensor elements expressed as functions of sample orientation.

Methodology for extracting quadratic tensor elements from experiments.

Framework applicable to ab-initio calculations.

Abstract

We present diagonal and off-diagonal elements of the permittivity and conductivity tensor up to the second order in magnetization for cubic crystals. We express all tensor elements as a function of a general sample orientation, for arbitrary magnetization direction and for (001), (011) and (111) surface orientations. Finally, we discuss, how to extract values of quadratic elements G of the second order permittivity tensors for different sample surface orientations from both experiment and ab-initio calculations.