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Anyons in (1 + 1) dimensions and the deformed Calogero-Sutherland model
KTH, Skolan för teknikvetenskap (SCI), Teoretisk fysik.
2011 (engelsk)Independent thesis Advanced level (degree of Master (Two Years)), 20 poäng / 30 hpOppgave
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.

sted, utgiver, år, opplag, sider
2011. , s. 77
Serie
Trita-FYS, ISSN 0280-316X
Emneord [en]
Key words: FQHE, Anyons, Integrable many-body system, Deformed Calogero-Sutherland model
HSV kategori
Identifikatorer
URN: urn:nbn:se:kth:diva-34281OAI: oai:DiVA.org:kth-34281DiVA, id: diva2:420111
Fag / kurs
Material Physics
Utdanningsprogram
Master of Science in Engineering - Microelectronics
Uppsök
Physics, Chemistry, Mathematics
Examiner
Tilgjengelig fra: 2011-07-06 Laget: 2011-05-31 Sist oppdatert: 2011-10-11bibliografisk kontrollert

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