Effect of the boundary shape in the effective theory of fractional quantum Hall edges

dc.creatorCabra, Daniel Carlos
dc.creatorGrandi, Nicolás Esteban
dc.date2008-03-06
dc.date2021-10-06T17:36:57Z
dc.date.accessioned2023-07-15T03:37:11Z
dc.date.available2023-07-15T03:37:11Z
dc.identifierhttp://sedici.unlp.edu.ar/handle/10915/126330
dc.identifierissn:1098-0121
dc.identifierissn:1550-235X
dc.identifier.urihttps://repositorioslatinoamericanos.uchile.cl/handle/2250/7466402
dc.descriptionStarting from a microscopic description of a system of strongly interacting electrons in a strong magnetic field in a finite geometry, we construct the boundary low energy effective theory for a fractional quantum Hall droplet taking into account the effects of a smooth edge. The effective theory obtained is the standard chiral boson theory (chiral Luttinger theory) with an additional self-interacting term which is induced by the boundary. As an example of the consequences of this model, we show that such modification leads to a nonuniversal reduction in the tunneling exponent which is independent of the filling fraction. This is in qualitative agreement with experiments, which systematically found exponents smaller than those predicted by the ordinary chiral Luttinger liquid theory.
dc.descriptionFacultad de Ciencias Exactas
dc.formatapplication/pdf
dc.languageen
dc.rightshttp://creativecommons.org/licenses/by-nc-sa/4.0/
dc.rightsCreative Commons Attribution-NonCommercial-ShareAlike 4.0 International (CC BY-NC-SA 4.0)
dc.subjectFísica
dc.subjectPhysics
dc.subjectQuasiparticle
dc.subjectEffective field theory
dc.subjectLuttinger liquid
dc.subjectQuantum hall effect
dc.subjectNambu–jona-lasinio model
dc.subjectCondensed matter physics
dc.subjectBoundary (topology)
dc.subjectQuantum mechanics
dc.subjectFractional quantum hall effect
dc.subjectBoson
dc.titleEffect of the boundary shape in the effective theory of fractional quantum Hall edges
dc.typeArticulo
dc.typeArticulo


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