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Reduction and emergence in the fractional quantum Hall state.

Lancaster, T. and Pexton, M. (2015) 'Reduction and emergence in the fractional quantum Hall state.', Studies in history and philosophy of science. Part B, Studies in history and philosophy of modern physics., 52 (Part B). pp. 343-357.

Abstract

We present the fractional quantum Hall (FQH) effect as a candidate emergent phenomenon. Unlike some other putative cases of condensed matter emergence (such as thermal phase transitions), the FQH effect is not based on symmetry breaking. Instead FQH states are part of a distinct class of ordered matter that is defined topologically. Topologically ordered states result from complex long-ranged correlations between their constituent parts, such that the system displays strongly irreducible, qualitatively novel properties.

Item Type:Article
Keywords:Emergence, Condensed matter physics, Many-body quantum mechanics, Quantum field theory, Quantum Hall effect.
Full text:(AM) Accepted Manuscript
Available under License - Creative Commons Attribution Non-commercial No Derivatives.
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Status:Peer-reviewed
Publisher Web site:http://dx.doi.org/10.1016/j.shpsb.2015.10.004
Publisher statement:© 2015 This manuscript version is made available under the CC-BY-NC-ND 4.0 license http://creativecommons.org/licenses/by-nc-nd/4.0/
Date accepted:12 October 2015
Date deposited:11 November 2015
Date of first online publication:03 November 2015
Date first made open access:03 November 2017

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