Logarithmic Operators in the Theory of Plateau Transition

TL;DR

This paper investigates the presence of logarithmic operators in a model describing the local density of states at the quantum Hall plateau transition, revealing their unusual properties.

Contribution

It demonstrates that the $SL(2;C)/SU(2)$ model contains logarithmic operators, providing new insights into the mathematical structure of the transition.

Findings

Identification of logarithmic operators in the model

Analysis of their unusual properties

Implications for the understanding of quantum Hall transitions

Abstract

We show that $SL(2;C)/SU(2)$ model which had been recently proposed to describe the behaviour of the local densities of states at the plateau transition in Integer Quantum Hall effect, has logarithmic operators. They unusual properties are studied in this letter.