Anyons in (1 + 1) dimensions and the deformed Calogero-Sutherland model
Independent thesis Advanced level (degree of Master (Two Years)), 20 credits / 30 HE creditsStudent thesis
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
Key words: FQHE, Anyons, Integrable many-body system, Deformed Calogero-Sutherland model
IdentifiersURN: urn:nbn:se:kth:diva-34281OAI: oai:DiVA.org:kth-34281DiVA: diva2:420111
Subject / course
Master of Science in Engineering - Microelectronics
UppsokPhysics, Chemistry, Mathematics
Langmann, Edwin, Professor