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Anyons in (1 + 1) dimensions and the deformed Calogero-Sutherland model
KTH, School of Engineering Sciences (SCI), Theoretical Physics.
2011 (English)Independent thesis Advanced level (degree of Master (Two Years)), 20 credits / 30 HE creditsStudent thesis
Abstract [en]

This thesis deals with a conformal field theoretical treatment of abelian anyons in (1 + 1)-dimensions and their relation to the integrable Calogero-Sutherland models.

We generalize previous work relating anyons to the Calogero-Sutherland model by showing that the correlation function of the anyon field operators corresponds to the eigenfunctions of the deformed Calogero-Sutherland model. Our results suggest a physical application of the deformed Calogero-Sutherland model in the context of the fractional quantum Hall effect (FQHE).

A key aspect for this work is the introduction of the dual anyon field operators, which obey a natural generalization of the canonical anti-commutation relation.

Place, publisher, year, edition, pages
2011. , 77 p.
Trita-FYS, ISSN 0280-316X
Keyword [en]
Key words: FQHE, Anyons, Integrable many-body system, Deformed Calogero-Sutherland model
National Category
Physical Sciences
URN: urn:nbn:se:kth:diva-34281OAI: diva2:420111
Subject / course
Material Physics
Educational program
Master of Science in Engineering - Microelectronics
Physics, Chemistry, Mathematics
Available from: 2011-07-06 Created: 2011-05-31 Last updated: 2011-10-11Bibliographically approved

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