Quantum chaos associated with emergent ergosurface in transition layer between type-I and type-II Weyl semimetals

Abstract

We present emergent ergosurfaces (ES) in a transition layer between type-I and type-II Weyl semimetals (WSMs). The Hawking temperature defined by the surface gravity at the acoustic event horizon which coincides with the ES when the tangent velocity $v_{\parallel }$ is small is in a measurable interval. On the type-II WSM side, i.e., inside the {ES when $v_{\parallel }$ is large}, the motion of the quasiparticles may be chaotic {after} a critical surface as they are governed by an effective inverted oscillator potential induced by the mismatch between the type-I and type-II Weyl nodes. In a relevant lattice model, we calculate out of time ordered correlators (OTOCs). We find that the OTOCs are fast scrambling with a quantum Lyapunov exponent in high temperature and the scrambling is saturated after the Ehrenfest time. This confirms the quantum chaotic behavior.

published version

References in corpus (32)

• Electronic Structure of Pyrochlore Iridates: From Topological Dirac Metal to Mott Insulator
• Discovery of a Weyl Fermion Semimetal and Topological Fermi Arcs
• Type-II Weyl Semimetals
• A bound on chaos
• Comments on the Sachdev-Ye-Kitaev model
• Experimental discovery of Weyl semimetal TaAs
• Black holes and the butterfly effect
• Weyl semimetal phase in non-centrosymmetric transition metal monophosphides
• Holographic metals and the fractionalized Fermi liquid
• Observation of thermal Hawking radiation at the Hawking temperature in an analogue black hole
• Geometrical Description of the Fractional Quantum Hall Effect
• Realization of a sonic black hole analogue in a Bose-Einstein condensate
• Stability of Fermi Surfaces and K-Theory
• Out-of-time-order correlators in quantum mechanics
• Universality in Chaos of Particle Motion near Black Hole Horizon
• Black hole and Hawking radiation by type-II Weyl fermions
• Exotic Lifshitz transitions in topological materials
• Black Hole Horizon in a Type-III Dirac Semimetal Zn${}_2$In${}_2$S${}_5$
• Minimal models for topological Weyl semimetals
• Lifshitz transitions, type-II Dirac and Weyl fermions, event horizon and all that
• Magnonic black holes
• Hybrid Weyl Semimetal
• Type-III and IV interacting Weyl points
• Inverted Oscillator
• Thermal Emission from Semi-classical Dynamical Systems
• Magnetic description of the Fermi arc in type-I and type-II Weyl semimetals
• Acoustic Wave Absorption as a Probe of Dynamical Geometrical Response of Fractional Quantum Hall Liquids
• Quantum Hall effects in fast rotating Fermi gases with anisotropic dipolar interaction
• Emergent geometry experienced by fermions in graphene in the presence of dislocations
• Geometrodynamics of electrons in a crystal under position and time dependent deformation
• Noncommutative Chern-Simons theory and exotic geometry emerging from the lowest Landau level
• Fermionic analogue of black hole radiation with a super high Hawking temperature

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• Escape from black holes in materials: Type II Weyl semimetals and generic edge states
• Type-III Dirac Cones from Degenerate Directionally Flat Bands: Viewpoint from Molecular-Orbital Representation
• Quantum electrodynamics in anisotropic and tilted Dirac photonic lattices
• Quantum inverted harmonic potential
• Thermoelectric transport of type-I, II, and III massless Dirac fermions in two-dimensional lattice model
• On the Curvature Invariants of the Massive Banados-Teitelboim-Zanelli Black Holes and Their Holographic Pictures
• Out-of-time-ordered commutators in Dirac--Weyl systems