Network of edge states: random Josephson junction array description

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dc.creatorPryadko, Leonid P.
dc.creatorChaltikian, Karen
dc.date1997-07-22
dc.date1997-11-26
dc.date.accessioned2026-07-07T09:02:44Z
dc.date.available2026-07-07T09:02:44Z
dc.descriptionWe construct a generalization of the Chalker-Coddington network model to the case of fractional quantum Hall effect, which describes the tunneling between multiple chiral edges. We derive exact local and global duality symmetries of this model, and show that its infrared properties are identical to those of disordered planar Josephson junction array (JJA) in a weak magnetic field, which implies the same universality class. The zero frequency Hall resistance of the system, which was expressed through exact correlators of the tunneling fields, is shown to be quantized both in the quantum Hall limit and in the limit of perfect Hall insulator.
dc.descriptionrevtex, 4 double-column pages, 2 ps figures included with epsf. To be published in PRL. Changes include: clarified the concept of duality, added one reference, and substantially rewritten the ending of the manuscript
dc.identifierhttps://arxiv.org/abs/cond-mat/9707234
dc.identifierhttp://arxiv.org/abs/cond-mat/9707234
dc.identifierPhys. Rev. Lett., vol. 80, pp. 584-7 (1998).
dc.identifierdoi:10.1103/PhysRevLett.80.584
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/148741
dc.subjectMesoscale and Nanoscale Physics
dc.subjectStrongly Correlated Electrons
dc.titleNetwork of edge states: random Josephson junction array description
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