# Orbital Edelstein effect from density-wave order

## TL;DR

This paper demonstrates that a charge density wave order in a spin-orbit free electron model induces a temperature-dependent orbital Edelstein effect by reducing symmetry to a gyrotropic class.

## Contribution

It introduces a model showing how density-wave order can generate a bulk orbital magnetization via the orbital Edelstein effect without spin-orbit coupling.

## Key findings

- Orbital Edelstein effect appears in a spin-orbit free model with density-wave order.
- The effect is temperature dependent and linked to symmetry breaking.
- The model transitions into a gyrotropic crystal class enabling the effect.

## Abstract

Coupling between charge and spin, and magnetoelectric effects more generally, have been an area of great interest for several years, with the sought-after ability to control magnetic degrees of freedom via charge currents serving as an impetus. The orbital Edelstein effect (OEE) is a kinetic magnetoelectric effect consisting of a bulk orbital magnetization induced by a charge current. It is the orbital analogue of the spin Edelstein effect in spin-orbit coupled materials, in which a charge current drives nonzero electron spin magnetization. The OEE has recently been investigated in the context of Weyl semimetals and Weyl metals. Motivated by these developments, we study a model of electrons without spin-orbit coupling which exhibits line nodes that get gapped out by via symmetry breaking due to an interaction-induced charge density wave order. This model is shown to exhibit a temperature dependent OEE, which appears due to symmetry reduction into a gyrotropic crystal class.