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Hawking fragmentation and Hawking attenuation in Weyl semimetals

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arxiv 2106.14553 v3 pith:FC6BERNA submitted 2021-06-28 cond-mat.mes-hall gr-qcquant-ph

Hawking fragmentation and Hawking attenuation in Weyl semimetals

Daniel Sabsovich , Paul Wunderlich , Victor Fleurov , Dmitry I. Pikulin , Roni Ilan , Tobias Meng This is my paper
classification cond-mat.mes-hall gr-qcquant-ph
keywords hawkingweylanalogueattenuationdoublerfragmentationlatticemicroscopic
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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.

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