Hawking fragmentation and Hawking attenuation in Weyl semimetals

TL;DR

This paper explores how lattice effects in Weyl semimetals influence black hole analogues, revealing phenomena like Hawking fragmentation and attenuation that depend on an analogue Hawking temperature.

Contribution

It demonstrates how microscopic lattice doubler states modify black hole analogues in Weyl semimetals, leading to observable Hawking-like phenomena.

Findings

Doubler states cause Hawking fragmentation and attenuation.

Phenomena depend on an analogue Hawking temperature.

Numerical simulations confirm measurable effects in materials.

Abstract

We study black and white hole analogues in Weyl semimetals with inhomogenous nodal tilts. We study how the presence of a microscopic lattice, giving rise to low-energy fermion doubler states at large momenta that are not present for elementary particles, affects the analogy between Weyl Hamiltonians and general relativity. Using a microscopic tight-binding lattice model, we find the doubler states to give rise to Hawking fragmentation and Hawking attenuation of wavepackets by the analogue event horizon. These phenomena depend on an analogue Hawking temperature, and can be measured in metamaterials and solids, as we confirm by numerical simulations.