Interactions and non-commutativity in quantum Hall systems

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dc.contributor.authorScholtz F.G.
dc.contributor.authorChakraborty B.
dc.contributor.authorGangopadhyay S.
dc.contributor.authorGovaerts J.
dc.date.accessioned2011-05-15T16:03:37Z
dc.date.available2011-05-15T16:03:37Z
dc.date.issued2005
dc.description.abstractWe discuss the role that interactions play in the non-commutative structure that arises when the relative coordinates of two interacting particles are projected onto the lowest Landau level. It is shown that the interactions in general renormalize the non-commutative parameter away from the non-interacting value . The effective non-commutative parameter is in general also angular momentum dependent. A heuristic argument, based on the non-commutative coordinates, is given to find the filling fractions at incompressibilty, which are in general renormalized by the interactions, and the results are consistent with known results in the case of singular magnetic fields. © 2005 IOP Publishing Ltd.
dc.description.versionArticle
dc.identifier.citationJournal of Physics A: Mathematical and General
dc.identifier.citation38
dc.identifier.citation45
dc.identifier.issn3054470
dc.identifier.other10.1088/0305-4470/38/45/008
dc.identifier.urihttp://hdl.handle.net/10019.1/12703
dc.titleInteractions and non-commutativity in quantum Hall systems
dc.typeArticle
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