Artificial Hawking radiation, weak pseudo-Hermiticity and Weyl semimetal blackhole analogy

TL;DR

This paper explores the theoretical possibility of artificial Hawking radiation using a novel non-Hermitian model inspired by Weyl semimetals, analyzing tunneling phenomena at event horizons in a blackhole analogy.

Contribution

It introduces a weak pseudo-Hermitian two-band model with a tilting parameter to simulate Hawking radiation in Weyl semimetals, expanding the blackhole analogy in condensed matter.

Findings

Derived tunneling probability across the event horizon

Established a connection between Weyl semimetals and blackhole physics

Proposed a non-PT-symmetric Hamiltonian model

Abstract

We examine the possibility of artificial Hawking radiation by proposing a non-PT-symmetric weakly pseudo-Hermitian two-band model containing a tilting parameter by pursuing Weyl semimetal blackhole analogy. We determine the tunnelling probability using such a Hamiltonian through the event horizon that acts as a classically forbidden barrier.