Dodoo-Amoo, NA, Saeed, K, Li, LH et al. (4 more authors) (2013) The quantum percolation model of the scaling theory of the quantum Hall effect: a unifying model for plateau-to-plateau transitions. Journal of Physics: Conference Series, 456. 012007. ISSN 1742-6588
Abstract
We present a unifying model of plateau-to-plateau transitions in the quantum Hall effect based on results from high resolution frequency scaling experiments. We show that as the frequency or quantum coherence length of the two-dimensional electron system is varied, one observes a crossover between classical percolation and quantum percolation in the measured values of the critical scaling exponents of the plateau-to-plateau transitions. This crossover is dependent on the relationship between certain relevant length scales of a two- dimensional system and can be explained using a quantum percolation model. The model explains why quantum criticality can be observed in some systems, but is absent from others.
Metadata
Item Type: | Article |
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Authors/Creators: |
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Copyright, Publisher and Additional Information: | © 2013 The Authors. This is an open access article under the terms of the Creative Commons Attribution 3.0 License |
Dates: |
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Institution: | The University of Leeds |
Academic Units: | The University of Leeds > Faculty of Engineering & Physical Sciences (Leeds) > School of Electronic & Electrical Engineering (Leeds) > Pollard Institute (Leeds) |
Depositing User: | Symplectic Publications |
Date Deposited: | 15 Apr 2014 12:05 |
Last Modified: | 15 Jan 2018 20:52 |
Published Version: | http://dx.doi.org/10.1088/1742-6596/456/1/012007 |
Status: | Published |
Publisher: | IOP Publishing |
Identification Number: | 10.1088/1742-6596/456/1/012007 |
Related URLs: | |
Open Archives Initiative ID (OAI ID): | oai:eprints.whiterose.ac.uk:78433 |