Bayntun, Allan and Burgess, C. P. and Dolan, Brian P. and Lee, SungSik
(2011)
AdS/QHE: towards a holographic description of quantum Hall experiments.
New Journal of Physics (NJP), 13 (035012).
pp. 148.
ISSN 13672630
Abstract
Transitions among quantum Hall plateaux share a suite of
remarkable experimental features, such as semicircle laws and duality relations, whose accuracy and robustness are difficult to explain directly in terms of the detailed dynamics of the microscopic electrons. They would naturally follow if the lowenergy transport properties were governed by an emergent discrete duality group relating the different plateaux, but no explicit examples of interacting systems having such a group are known. Recent progress using the AdS/CFT correspondence has identified examples with similar duality groups, but without the dc ohmic conductivity characteristic of quantum Hall experiments. We use this to propose a simple holographic model for lowenergy quantum Hall systems, with a nonzero dc conductivity that automatically exhibits all of the observed consequences of duality, including the existence of the plateaux and the semicircle transitions between them. The model can be regarded as a strongly coupled analogue of the old ‘composite boson’ picture of quantum Hall systems. Nonuniversal features of the model can be used to test whether it describes actual materials, and we comment on some of these in our proposed model. In particular, the model indicates the value 2/5 for lowtemperature scaling exponents for transitions among quantum Hall plateaux, in agreement with the
measured value 0.42±0.01.
Item Type: 
Article

Keywords: 
AdS/QHE; holographic description; quantum Hall; 
Academic Unit: 
Faculty of Science and Engineering > Mathematical Physics 
Item ID: 
2609 
Depositing User: 
Dr. Brian Dolan

Date Deposited: 
08 Jul 2011 15:29 
Journal or Publication Title: 
New Journal of Physics (NJP) 
Publisher: 
Institute of Physics (IoP) and Deutsche Physikalische Gesellschaft 
Refereed: 
Yes 
URI: 

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