An analogue of Hawking radiation in the quantum Hall effect

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Abstract

The edge of a droplet of lowest Landau-level quantum Hall fluid provides a model for a 1 + 1 dimensional chiral Dirac fermion. We use this fact to construct an analogue model for a chiral fermion in a space-time geometry possessing an event horizon. We show that the analogue 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 horizon. Once we trace out these 'unobservable' partners, we are left with a thermal density matrix. For typical quantum Hall device parameters, the predicted 'Hawking' temperature is about 2 K.

Original languageEnglish (US)
Article number085003
JournalClassical and Quantum Gravity
Volume30
Issue number8
DOIs
StatePublished - Apr 21 2013

ASJC Scopus subject areas

  • Physics and Astronomy (miscellaneous)

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