Reduction and emergence in the fractional quantum Hall state |
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| Affiliation: | 1. Department of Physics, Durham University, South Road, Durham DH1 3LE, UK;2. Department of Philosophy, Durham University, 50 Old Elvet, Durham DH1 3HN, UK;1. Fachbereich Philosophie, Universität Konstanz, 78457 Konstanz, Germany;2. Institute for Theoretical Physics, Albert Einstein Center for Fundamental Physics, Universität Bern, Sidlerstrasse 5, 3012 Bern, Switzerland |
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| 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. |
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| Keywords: | Emergence Condensed matter physics Many-body quantum mechanics Quantum field theory Quantum Hall effect |
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