# Magnetoelectric Effects and Charge-Imbalanced Solenoids: Antiferro Quadrupole Orders in a Diamond Structure

## TL;DR

This paper investigates how antiferro quadrupole orders in a diamond structure induce magnetoelectric effects, revealing their dependence on order parameters and current direction, and proposes a charge-imbalanced solenoid interpretation.

## Contribution

It introduces a detailed analysis of magnetoelectric effects in diamond structures with AFQ orders and links these effects to charge-imbalanced solenoids for the first time.

## Key findings

- Current-induced magnetization varies with order parameters and current direction.
- AFQ orders break inversion symmetry, enabling magnetoelectric effects.
- Charge-imbalanced solenoids provide an intuitive understanding of the phenomena.

## Abstract

We study magnetoelectric (magneto-current) effects in a diamond structure under antiferro quadrupole (AFQ) orders. The AFQ orders break the spacial inversion symmetry and cause the current-induced magnetization. The current-induced magnetization strongly depends on the types of the order parameters and the direction of the current. This gives a way to the experimental identification of AFQ order parameters. We also discuss the current-induced magnetization under the AFQ orders in the diamond structure can be intuitively understood in terms of charge-imbalanced solenoids.