# Charge density wave instabilities of type-II Weyl semimetals in a strong magnetic field

## TL;DR

This paper explores how weak interactions induce charge density wave instabilities in type-II Weyl semimetals under strong magnetic fields, revealing a cascade of phase transitions with experimental signatures.

## Contribution

It demonstrates the emergence of CDW instabilities in type-II Weyl semimetals due to nesting properties, a novel many-body effect in these materials.

## Key findings

- Charge density wave instability occurs even at weak interactions.
- The CDW depends on magnetic field strength.
- A cascade of CDW transitions emerges as temperature decreases.

## Abstract

Shortly after the discovery of Weyl semimetals properties related to the topology of their bulk band structure have been observed, e.g. signatures of the chiral anomaly and Fermi arc surface states. These essentially single particle phenomena are well understood but whether interesting many-body effects due to interactions arise in Weyl systems remains much less explored. Here, we investigate the effect of interactions in a microscopic model of a type-II Weyl semimetal in a strong magnetic field. We identify a charge density wave (CDW) instability even for weak interactions stemming from the emergent nesting properties of the type-II Weyl Landau level dispersion. We map out the dependence of this CDW on magnetic field strength. Remarkably, as a function of decreasing temperature a cascade of CDW transitions emerges and we predict characteristic signatures for experiments.