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An analogue of Hawking radiation in the quantum Hall effect
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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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Smart Holes: Analogue black holes with the right temperature and entropy
The entropy of a tilted Dirac cone material, integrated across a spatially varying tilt, grows linearly with temperature behind the analogue horizon and can be mapped to BTZ black hole entropy.
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