# Quantum Ferromagnetic Transition in Clean Dirac Metals

## TL;DR

This paper investigates the nature of ferromagnetic quantum phase transitions in clean Dirac metals, revealing that chirality-induced soft modes prevent the transition from becoming continuous, maintaining its first-order character despite strong spin-orbit interactions.

## Contribution

It demonstrates that in Dirac metals, chirality introduces new soft modes that keep the ferromagnetic transition first order, challenging previous expectations about quantum critical points.

## Key findings

- Chirality leads to new soft modes in Dirac metals.
- The ferromagnetic transition remains first order despite spin-orbit interactions.
- Contradicts the expectation of a quantum critical point in such systems.

## Abstract

The ferromagnetic quantum phase transition in clean metals with a negligible spin-orbit interaction is known to be first order due to a coupling of the magnetization to soft fermionic particle-hole excitations. A spin-orbit interaction gives these excitations a mass, suggesting the existence of a ferromagnetic quantum critical point in metals with a strong spin-orbit interaction. We show that this expectation is not borne out in a large class of materials with a Dirac spectrum, since the chirality degree of freedom leads to new soft modes that again render the transition first order.