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Thermodynamic and transport properties of a holographic quantum Hall system

University of British Columbia

We apply the AdS/CFT correspondence to study a quantum Hall system at strong coupling. Fermions at finite density in an external magnetic field are put in via gauge fields living on a stack of D5 branes in Anti-deSitter space. Under the appropriate conditions, the D5 branes blow up to form a D7 brane which is capable of forming a charge-gapped state. We add finite temperature by including a black hole which allows us to compute the low temperature entropy of the quantum Hall system. Upon including an external electric field (again as a gauge field on the probe brane), the conductivity tensor is extracted from Ohm’s law.

Text

2014-12-01

Attribution-NonCommercial-NoDerivs 2.5 Canada

http://hdl.handle.net/2429/51244

Physics

University of British Columbia

UBCV

http://creativecommons.org/licenses/by-nc-nd/2.5/ca/