The Lifshitz transition from type-I to type-II Weyl states is equivalent to a black hole horizon, featuring a Dirac-line Fermi surface with nontrivial topological invariant and critical chiral anomaly.
Fermionic microstates within Painlev\'e-Gullstrand black hole
2 Pith papers cite this work, alongside 79 external citations. Polarity classification is still indexing.
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abstract
We consider the quantum vacuum of fermionic field in the presence of a black-hole background as a possible candidate for the stabilized black hole. The stable vacuum state (as well as thermal equilibrium states with arbitrary temperature) can exist if we use the Painlev\'e-Gullstrand description of the black hole, and the superluminal dispersion of the particle spectrum at high energy, which is introduced in the free-falling frame. Such choice is inspired by the analogy between the quantum vacuum and the ground state of quantum liquid, in which the event horizon for the low-energy fermionic quasiparticles also can arise. The quantum vacuum is characterized by the Fermi surface, which appears behind the event horizon. We do not consider the back reaction, and thus there is no guarantee that the stable black hole exists. But if it does exist, the Fermi surface behind the horizon would be the necessary attribute of its vacuum state. We also consider exact discrete spectrum of fermions inside the horizon which allows us to discuss the problem of fermion zero modes.
verdicts
UNVERDICTED 2representative citing papers
A covariant model of Dirac fermions with an extra Planck-derived term yields the same Einstein-equation collapse as ordinary GR yet permits numerical trajectories that escape the black hole.
citing papers explorer
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Dirac-Line Criticality and Emergent Horizons in Weyl Lifshitz Transitions
The Lifshitz transition from type-I to type-II Weyl states is equivalent to a black hole horizon, featuring a Dirac-line Fermi surface with nontrivial topological invariant and critical chiral anomaly.
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Classical limit for Dirac fermions with modified action in the presence of the black hole
A covariant model of Dirac fermions with an extra Planck-derived term yields the same Einstein-equation collapse as ordinary GR yet permits numerical trajectories that escape the black hole.