An analogue of Hawking radiation in the quantum Hall effect
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.
- Publication:
-
Classical and Quantum Gravity
- Pub Date:
- April 2013
- DOI:
- 10.1088/0264-9381/30/8/085003
- arXiv:
- arXiv:1209.2317
- Bibcode:
- 2013CQGra..30h5003S
- Keywords:
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- General Relativity and Quantum Cosmology;
- Condensed Matter - Mesoscale and Nanoscale Physics
- E-Print:
- 16 pages, five figures