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arXiv · 1209.2317

An analogue of Hawking radiation in the quantum Hall effect

Michael Stone
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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.

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Michael Stone. 2012-09-11. An analogue of Hawking radiation in the quantum Hall effect. https://doi.org/10.1088/0264-9381/30/8/085003

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