4.4 Article

Gravity dual of a quantum Hall plateau transition

Journal

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

Publisher

SPRINGER
DOI: 10.1088/1126-6708/2008/11/020

Keywords

Field Theories in Lower Dimensions; Gauge-gravity correspondence; Intersecting branes models; AdS-CFT Correspondence

Funding

  1. NSF [PHY- 0456200]
  2. Direct For Mathematical & Physical Scien [757702] Funding Source: National Science Foundation
  3. Division Of Physics [757702] Funding Source: National Science Foundation

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We show how to model the transition between distinct quantum Hall plateaus in terms of D-branes in string theory. A low energy theory of 2 + 1 dimensional fermions is obtained by considering the D3-D7 system, and the plateau transition corresponds to moving the branes through one another. We study the transition at strong coupling using gauge/gravity duality and the probe approximation. Strong coupling leads to a novel kind of plateau transition: at low temperatures the transition remains discontinuous due to the effects of dynamical symmetry breaking and mass generation, and at high temperatures is only partially smoothed out.

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