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AC transport at holographic quantum Hall transitions

Janne Alanen et al JHEP11(2009)014   doi: 10.1088/1126-6708/2009/11/014  Help

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Janne Alanena,b, Esko Keski-Vakkuria, Per Krausc and Ville Suur-Uskia,b
a Helsinki Institute of Physics, University of Helsinki, P.O.Box 64, FIN-00014, Helsinki Finland
b Department of Physics, University of Helsinki, P.O.Box 64, FIN-00014 Helsinki, Finland
c Department of Physics and Astronomy, UCLA, Los Angeles, CA 90095-1547, U.S.A.
E-mail: janne.alanen@helsinki.fi, esko.keski-vakkuri@helsinki.fi, pkraus@ucla.edu and ville.suur-uski@helsinki.fi

Abstract. We compute AC electrical transport at quantum Hall critical points, as modeled by intersecting branes and gauge/gravity duality. We compare our results with a previous field theory computation by Sachdev, and find unexpectedly good agreement. We also give general results for DC Hall and longitudinal conductivities valid for a wide class of quantum Hall transitions, as well as (semi)analytical results for AC quantities in special limits. Our results exhibit a surprising degree of universality; for example, we find that the high frequency behavior, including subleading behavior, is identical for our entire class of theories.

Key words: AdS-CFT Correspondence; Intersecting branes models; Gauge-gravity correspondence

E-print number: 0905.4538
Cited: by
Refers: to

Received 5 August 2009, accepted for publication 5 October 2009
Published 5 November 2009

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