Dirac-Line Criticality and Emergent Horizons in Weyl Lifshitz Transitions

Fuente: arXiv
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Autores principales: Chowdhury, Iftekher S., Dhungana, Hom Nath, Haque, Shah, Adawi, Hind, Howard, Eric
Formato: Preprint
Publicado: 2026
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author Chowdhury, Iftekher S.
Dhungana, Hom Nath
Haque, Shah
Adawi, Hind
Howard, Eric
author_facet Chowdhury, Iftekher S.
Dhungana, Hom Nath
Haque, Shah
Adawi, Hind
Howard, Eric
contents Type-II Weyl fermions may emerge behind the event horizon of black holes. We employ the Painlevé-Gullstrand metric to study the surface of the Lifshitz transition at the horizon, equivalent to the interface separating the type-I and type-II Weyl states. We find several analogies between the black hole horizon and the transformation of type-I to type-II Weyl fermions through the Dirac line. We analyze the symmetry-protected topological order at the Lifshitz transition originating in semimetals. The emergence of Hawking radiation in Weyl semimetals is discussed. We show that the transition state from type-I to type-II Dirac fermions can be viewed as a black-hole horizon, which exhibits unique characteristics, including a Dirac-line Fermi surface with a nontrivial topological invariant and a critical chiral anomaly effect.
format Preprint
id arxiv_https___arxiv_org_abs_2605_27453
institution arXiv
publishDate 2026
record_format arxiv
spellingShingle Dirac-Line Criticality and Emergent Horizons in Weyl Lifshitz Transitions
Chowdhury, Iftekher S.
Dhungana, Hom Nath
Haque, Shah
Adawi, Hind
Howard, Eric
Mesoscale and Nanoscale Physics
Quantum Physics
Type-II Weyl fermions may emerge behind the event horizon of black holes. We employ the Painlevé-Gullstrand metric to study the surface of the Lifshitz transition at the horizon, equivalent to the interface separating the type-I and type-II Weyl states. We find several analogies between the black hole horizon and the transformation of type-I to type-II Weyl fermions through the Dirac line. We analyze the symmetry-protected topological order at the Lifshitz transition originating in semimetals. The emergence of Hawking radiation in Weyl semimetals is discussed. We show that the transition state from type-I to type-II Dirac fermions can be viewed as a black-hole horizon, which exhibits unique characteristics, including a Dirac-line Fermi surface with a nontrivial topological invariant and a critical chiral anomaly effect.
title Dirac-Line Criticality and Emergent Horizons in Weyl Lifshitz Transitions
topic Mesoscale and Nanoscale Physics
Quantum Physics
url https://arxiv.org/abs/2605.27453