We present a dual 2D statistical model to describe the physical properties of a Quantum Hall Fluid. Such a model depends on a coupling constant g and an angular variable 0, which couples the electric and the magnetic charges. We show that it has topologically non trivial vacua (corresponding to rational values of the filling), which are infrared stable fixed points of the renormalization group. Moreover its partition function has a dual infinite discrete symmetry, SL(2, Z), which reproduces the phenomenological laws of corresponding states. Such a symmetry allows for an unified description of its fixed points in terms of a 2D Conformal Field Theory with central charge c = 1.

A dual 2-D Model for the Quantum Hall Fluid

GIULIANO, Domenico;
1997

Abstract

We present a dual 2D statistical model to describe the physical properties of a Quantum Hall Fluid. Such a model depends on a coupling constant g and an angular variable 0, which couples the electric and the magnetic charges. We show that it has topologically non trivial vacua (corresponding to rational values of the filling), which are infrared stable fixed points of the renormalization group. Moreover its partition function has a dual infinite discrete symmetry, SL(2, Z), which reproduces the phenomenological laws of corresponding states. Such a symmetry allows for an unified description of its fixed points in terms of a 2D Conformal Field Theory with central charge c = 1.
Quantum Hall effect (integer and fractional); Phase transitions: general aspects; Field theories in dimensions other than four
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/20.500.11770/127934
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