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Quantum Hall Circle
Max Planck Institute for the Physics of Complex Systems, Dresden.
Stockholm University, Faculty of Science, Department of Physics. (Quantum and Field Theory)
2009 (English)In: Journal of Statistical Mechanics: Theory and Experiment, ISSN 1742-5468, Vol. P04015Article in journal (Refereed) Published
Abstract [en]

We consider spin-polarized electrons in a single Landau level on a cylinder as the circumference of the cylinder goes to infinity. This gives a model of interacting electrons on a circle where the momenta of the particles are restricted and there is no kinetic energy. Quantum Hall states are exact ground states for appropriate short range interactions, and there is a gap to excitations. These states develop adiabatically from this one-dimensional quantum Hall circle to the bulk quantum Hall states and further on into the Tao–Thouless states as the circumference goes to zero. For low filling fractions a gapless state is formed which we suggest is connected to the Wigner crystal expected in the bulk.

Place, publisher, year, edition, pages
IOP , 2009. Vol. P04015
Keyword [en]
solvable lattice models, fractional QHE (theory)
National Category
Other Physics Topics
Research subject
Nuclear Physics
Identifiers
URN: urn:nbn:se:su:diva-33307DOI: 10.1088/1742-5468/2009/04/P04015ISI: 000265680300016OAI: oai:DiVA.org:su-33307DiVA: diva2:282926
Available from: 2009-12-22 Created: 2009-12-22 Last updated: 2011-07-07Bibliographically approved

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