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Paired and clustered quantum Hall states

2001/12/20 by K. Schoutens, Schoutens, K., E. Ardonne +3
Mathematics · Physics and Astronomy · #Cold Atom Physics and Bose-Einstein Condensates #Conformal field theory #Conformal map #Connection (principal bundle) #Epistemology #FOS: Physical sciences #Field (mathematics) #Geometry #Magnetic field #Mathematical analysis #Mathematical physics #Mathematics #Mesoscale and Nanoscale Physics (cond-mat.mes-hall) #Pairing #Philosophy #Physics #Property (philosophy) #Pure mathematics #Quantum #Quantum Hall effect #Quantum and electron transport phenomena #Quantum mechanics #Theoretical physics #Topological Materials and Phenomena #Wave function #cond-mat.mes-hall

paper · pdf · doi:10.48550/arxiv.cond-mat/0112379

published in arXiv (Cornell University) (Cornell University) · 13 pages, Contribution to the proceedings of the NATO Advanced Research Workshop "Statistical Field Theories" Como (Italy), June 18-23 2001

arxiv created 2001/12/20 · openalex publication_date 2001/12/20 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05

Abstract

We briefly summarize properties of quantum Hall states with a pairing or clustering property. Their study employs a fundamental connection with parafermionic Conformal Field Theories. We report on closed form expressions for the many-body wave functions and on multiplicities of the fundamental quasi-hole excitations.

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