A holographic model of quantum Hall transition

We consider a phenomenological holographic model, inspired by the D3/D7 system with a (2+1)-dimensional intersection, at finite chemical potential and magnetic field. At large 't Hooft coupling the system is unstable and needs regularization; the UV cutoff can be decoupled by considering a cert...

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Bibliographic Details
Main Authors: Andrea Mezzalira, Andrei Parnachev
Format: Article
Language:English
Published: Elsevier 2016-03-01
Series:Nuclear Physics B
Online Access:http://www.sciencedirect.com/science/article/pii/S0550321316000328
Description
Summary:We consider a phenomenological holographic model, inspired by the D3/D7 system with a (2+1)-dimensional intersection, at finite chemical potential and magnetic field. At large 't Hooft coupling the system is unstable and needs regularization; the UV cutoff can be decoupled by considering a certain double scaling limit. At finite chemical potential the model exhibits a phase transition between states with filling fractions plus and minus one-half as the magnetic field is varied. By varying the parameters of the model, this phase transition can be made to happen at arbitrary values of the magnetic field.
ISSN:0550-3213
1873-1562