An analogue of Hawking radiation in the quantum Hall effect
M. Stone. (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.
Description
An analogue of Hawking radiation in the quantum Hall effect
%0 Journal Article
%1 stone2012analogue
%A Stone, Michael
%D 2012
%K anomaly hall hawking quantum radiation
%T An analogue of Hawking radiation in the quantum Hall effect
%U http://arxiv.org/abs/1209.2317
%X 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.
@article{stone2012analogue,
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.},
added-at = {2013-02-06T00:35:05.000+0100},
author = {Stone, Michael},
biburl = {https://www.bibsonomy.org/bibtex/247980da1c40cac2ab9f7f5851c8b00d8/ttuegel},
description = {An analogue of Hawking radiation in the quantum Hall effect},
interhash = {6c1b0e90e401b64ef12a146dba076fcc},
intrahash = {47980da1c40cac2ab9f7f5851c8b00d8},
keywords = {anomaly hall hawking quantum radiation},
note = {cite arxiv:1209.2317Comment: 16 pages, five figures},
timestamp = {2013-02-06T00:35:05.000+0100},
title = {An analogue of Hawking radiation in the quantum Hall effect},
url = {http://arxiv.org/abs/1209.2317},
year = 2012
}