Network of edge states: random Josephson junction array description

Details Network of edge states: random Josephson junction array description Network of edge states: random Josephson junction array description

1997-07-22

arxiv.org/abs/cond-mat/9707234v2

Phys. Rev. Lett., vol. 80, pp. 584-7 (1998).

Physics

Condensed Matter

Mesoscale and Nanoscale Physics

revtex, 4 double-column pages, 2 ps figures included with epsf. To be published in PRL. Changes include: clarified the concept

Scientific paper

10.1103/PhysRevLett.80.584

We 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.

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