@ttuegel

An analogue of Hawking radiation in the quantum Hall effect

. (2012)cite arxiv:1209.2317Comment: 16 pages, five figures.

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 ünobservable" partners, we are left with a thermal density matrix.

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An analogue of Hawking radiation in the quantum Hall effect

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