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arXiv · 0905.4538

AC Transport at Holographic Quantum Hall Transitions

Janne Alanen·Esko Keski-Vakkuri·Per Kraus·Ville Suur-Uski
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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.

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Janne Alanen, Esko Keski-Vakkuri, Per Kraus, Ville Suur-Uski. 2009-10-29. AC Transport at Holographic Quantum Hall Transitions. https://doi.org/10.1088/1126-6708/2009/11/014

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