Exclusion statistics for quantum Hall states in the Tao-Thouless limit
2011 (English)In: Journal of Statistical Mechanics: Theory and Experiment, ISSN 1742-5468, P02037Article in journal (Refereed) Published
We consider spin-polarized Abelian quantum Hall states in the Tao-Thouless limit, i.e. on a thin torus. For any filling factor nu = p/q a well-defined sector of low energy states is identified and the exclusion statistics of the excitations is determined. We study numerically, at and near nu = 1/3 and 2/5, how the low energy states develop as one moves away from the Tao-Thouless limit towards the physical regime. We find that the lowest energy states in the physical regime develop from states in the low energy sector but that the exclusion statistics is modified.
Place, publisher, year, edition, pages
solvable lattice models, fractional QHE (theory)
Research subject Theoretical Physics
IdentifiersURN: urn:nbn:se:su:diva-67482DOI: 10.1088/1742-5468/2011/02/P02037ISI: 000287802800041OAI: oai:DiVA.org:su-67482DiVA: diva2:470603
authorCount :22011-12-292011-12-282015-03-27Bibliographically approved