# Kinetic orbital moments and nonlocal transport in disordered metals with nontrivial geometry

## TL;DR

This paper investigates how spatial dispersion affects magnetic and optical properties in disordered noncentrosymmetric metals, revealing new disorder-induced magnetic moments and their impact on transport phenomena.

## Contribution

It identifies disorder-induced contributions to magnetic moments from skew scattering and side jump processes, and clarifies the dominant mechanisms in different frequency regimes.

## Key findings

- Disorder-induced magnetic moments originate from skew scattering and side jump processes.
- Intrinsic mechanisms dominate the spatial dispersion at certain frequency ranges.
- Current-induced magnetization in clean metals is mainly due to impurity skew scattering.

## Abstract

We study the effects of spatial dispersion in disordered noncentrosymmetric metals. These include the kinetic magnetoelectric effect, natural optical activity of metals, as well as the so-called dynamic chiral magnetic effect as a particular case of the latter. These effects are determined by the linear in the wave vector of an electromagnetic perturbation contribution to the conductivity tensor of a material, and stem from the magnetic moments of quasiparticles near the Fermi surface. We identify new disorder-induced contributions to these magnetic moments that come from the skew scattering and side jump processes, familiar from the theory of anomalous Hall effect. We show that at low frequencies the spatial dispersion of the conductivity tensor comes mainly either from the skew scattering or intrinsic contribution, and there is always a region of frequencies in which the intrinsic mechanism dominates. Our results imply that in clean three-dimensional metals, current-induced magnetization is in general determined by impurity skew scattering, rather than intrinsic contributions. Intrinsic effects are expected to dominate in cubic enantiomorphic crystals with point groups $T$ and $O$, and in polycrystalline samples, regardless of their mobility.