An analogue of Hawking radiation in the quantum Hall effect

Abstract

We use the identification of the edge mode of the filling fraction $\nu =1$ quantum Hall phase with a 1+1 dimensional chiral Dirac fermion to construct an analogue model for a chiral fermion in a space-time geometry possessing an event horizon. By solving the model in the lowest Landau level, we show that the event horizon emits particles and holes with a thermal spectrum. Each emitted quasiparticle is correlated with an opposite-energy partner on the other side of the event horizon. Once we trace out these "unobservable" partners, we are left with a thermal density matrix.

16 pages, five figures

References in corpus (6)

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• Tunnelling Methods and Hawking's radiation: achievements and prospects
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• Hawking Radiation, Effective Actions and Covariant Boundary Conditions
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• Expanding Edges of Quantum Hall Systems in a Cosmology Language -- Hawking Radiation from de Sitter Horizon in Edge Modes
• Black hole mirages: electron lensing and Berry curvature effects in inhomogeneously tilted Weyl semimetals
• Gravitational anomalies on the Newton-Cartan background
• Chiral Spin-Chain Interfaces Exhibiting Event-Horizon Physics
• Hawking radiation in a two-component Bose-Einstein condensate
• Correlations, Dynamics, and Interferometry of Anyons in the Lowest Landau Level
• AdS/CFT Correspondence with a 3D Black Hole Simulator
• Optimally scrambling chiral spin-chain with effective black hole geometry
• Smart Holes: Analogue black holes with the right temperature and entropy
• Analogue Black Holes in Reactive Molecules