Dirac-Line Criticality and Emergent Horizons in Weyl Lifshitz Transitions
Abstract
Type-II Weyl fermions may emerge behind the event horizon of black holes. We employ the Painlev\'e-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.
Keywords
Cite
@article{arxiv.2605.27453,
title = {Dirac-Line Criticality and Emergent Horizons in Weyl Lifshitz Transitions},
author = {Iftekher S. Chowdhury and Hom Nath Dhungana and Shah Haque and Hind Adawi and Eric Howard},
journal= {arXiv preprint arXiv:2605.27453},
year = {2026}
}
Comments
20 pages, 9 Figures