Study of the critical properties of the Quantum Hall Fluid in the framework of a dual statistical model

TL;DR

This paper uses Renormalization Group methods to analyze the Quantum Hall Fluid through a dual plasma model with dyons, revealing universal critical properties linked to duality symmetry.

Contribution

It introduces a dual statistical model with dyons to describe Quantum Hall Fluid and derives critical indices and universality from duality symmetry.

Findings

Determination of the critical index for Quantum Hall transitions

Identification of universality of critical properties

Linking duality symmetry to critical behavior

Abstract

By using Renormalization Group methods we analyze the description of the Quantum Hall Fluid in terms of a dual plasma with dyons as effective degrees of freedom. The physical interpretation of the parameters of the model as the longitudinal and Hall conductance togheter with their scaling properties allow for the determination of the critical index. The universality of the critical properties result as a consequence of the generalized duality symmetry of the model.