4.4 Article

AC transport at holographic quantum hall transitions

Journal

JOURNAL OF HIGH ENERGY PHYSICS
Volume -, Issue 11, Pages -

Publisher

SPRINGER
DOI: 10.1088/1126-6708/2009/11/014

Keywords

Gauge-gravity correspondence; Intersecting branes models; AdS-CFT Correspondence

Funding

  1. Magnus Ehrnrooth foundation
  2. Academy of Finland [1127482]
  3. NSF [PHY-0456200]
  4. Finnish Academy of Science and Letters
  5. Division Of Physics
  6. Direct For Mathematical & Physical Scien [757702] Funding Source: National Science Foundation

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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.

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