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

Yu-Ge Chen, Xi Luo, Fei-Ye Li, Bin Chen, and Yue Yu
Phys. Rev. B 101, 035130 – Published 17 January 2020

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 is small is in a measurable interval. On the type-II WSM side, i.e., inside the ES when v 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.

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  • Received 4 June 2019

DOI:https://doi.org/10.1103/PhysRevB.101.035130

©2020 American Physical Society

Physics Subject Headings (PhySH)

Condensed Matter, Materials & Applied PhysicsGravitation, Cosmology & AstrophysicsNonlinear Dynamics

Authors & Affiliations

Yu-Ge Chen1,2,3,*, Xi Luo4,*, Fei-Ye Li1,2,3, Bin Chen4, and Yue Yu1,2,3

  • 1State Key Laboratory of Surface Physics, Fudan University, Shanghai 200433, People's Republic of China
  • 2Center for Field Theory and Particle Physics, Department of Physics, Fudan University, Shanghai 200433, People's Republic of China
  • 3Collaborative Innovation Center of Advanced Microstructures, Nanjing 210093, People's Republic of China
  • 4College of Science, University of Shanghai for Science and Technology, Shanghai 200093, People's Republic of China

  • *These two authors contribute equally.

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Vol. 101, Iss. 3 — 15 January 2020

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