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Deformed Calogero-Sutherland model and fractional quantum Hall effect
KTH, School of Engineering Sciences (SCI), Theoretical Physics.
KTH, School of Engineering Sciences (SCI), Theoretical Physics.
2017 (English)In: Journal of Mathematical Physics, ISSN 0022-2488, E-ISSN 1089-7658, Vol. 58, no 1, article id 011902Article in journal (Refereed) Published
Abstract [en]

The deformed Calogero-Sutherland (CS) model is a quantum integrable system with arbitrary numbers of two types of particles and reducing to the standard CS model in special cases. We show that a known collective field description of the CS model, which is based on conformal field theory (CFT), is actually a collective field description of the deformed CS model. This provides a natural application of the deformed CS model in Wen's effective field theory of the fractional quantum Hall effect (FQHE), with the two kinds of particles corresponding to electrons and quasi-hole excitations. In particular, we use known mathematical results about super-Jack polynomials to obtain simple explicit formulas for the orthonormal CFT basis proposed by van Elburg and Schoutens in the context of the FQHE.

Place, publisher, year, edition, pages
American Institute of Physics (AIP), 2017. Vol. 58, no 1, article id 011902
National Category
Physical Sciences
Identifiers
URN: urn:nbn:se:kth:diva-202264DOI: 10.1063/1.4973509ISI: 000395279200013Scopus ID: 2-s2.0-85010206608OAI: oai:DiVA.org:kth-202264DiVA, id: diva2:1075804
Note

QC 20170221

Available from: 2017-02-21 Created: 2017-02-21 Last updated: 2017-11-29Bibliographically approved

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