# Magnon gravitomagnetoelectric effect in noncentrosymmetric antiferromagnetic insulators

## TL;DR

This paper investigates how temperature gradients induce magnetization via magnons in noncentrosymmetric antiferromagnetic insulators, revealing a novel gravitomagnetoelectric effect distinct from traditional magnetoelectric phenomena.

## Contribution

The study derives a general formula for the gravito-ME susceptibility based on magnon wave functions and highlights the importance of g-factor differences, proposing ways to enhance the effect.

## Key findings

- Derived a formula for gravito-ME susceptibility in magnon systems
- Identified the g-factor difference as crucial for the effect
- Discussed potential methods to enhance the phenomenon

## Abstract

We study the magnon contribution to the gravitomagnetoelectric (gravito-ME) effect, in which the magnetization is induced by a temperature gradient, in noncentrosymmetric antiferromagnetic insulators. This phenomenon is totally different from the ME effect, because the temperature gradient is coupled to magnons but an electric field is not. We derive a general formula of the gravito-ME susceptibility in terms of magnon wave functions and find that a difference in $g$ factors of magnetic ions is crucial. We also apply our formula to a specific model. Although the obtained gravito-ME susceptibility is small, we discuss several ways to enhance this phenomenon.