# Antiferromagnetism and spin density waves in 3D Dirac semimetals

## TL;DR

This paper investigates magnetic instabilities in 3D Dirac semimetals, revealing that they can host antiferromagnetic or spin density wave states influenced by model parameters, chemical potential, and temperature.

## Contribution

It provides a mean-field analysis of magnetic phases in Dirac semimetals, highlighting conditions for antiferromagnetism and spin density waves, and discusses their magnetic susceptibility properties.

## Key findings

- Dirac electrons can host antiferromagnetic or spin density wave ground states.
- Magnetic properties may be independent of chemical potential and temperature when orbital momentum is absent.
- The specific magnetic configuration depends on model details and external parameters.

## Abstract

We perform mean-field study of possible magnetic instabilities in Dirac semimetals. We find that Dirac electrons naturally host antiferromagnetic or spin density wave ground states, though their specific configurations may vary depending on specific model, as well as chemical potential and temperature. We also discuss paramagnetic susceptibility of Dirac semimetals. In the cases, when Dirac electrons do not have orbital momentum, the magnetic properties may be $\mu$ and $T$ independent.