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AC transport at holographic quantum Hall transitions

Janne Alanena,b, Esko Keski-Vakkuria, Per Krausc and Ville Suur-Uskia,b

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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.

Keywords

Intersecting branes models

AdS-CFT and dS-CFT Correspondence

Gauge-gravity correspondence

 

E-print Number: 0905.4538

Cited: by |

Refers: to

PACS

73.43.Nq Quantum phase transitions

04.50.-h Higher-dimensional gravity and other theories of gravity

11.15.-q Gauge field theories

Subjects

Surfaces, interfaces and thin films

Gravitation and cosmology

Particle physics and field theory

Dates

Issue 11 (November 2009)

Received 5 August 2009, accepted for publication 5 October 2009

Published 5 November 2009



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