Non-Fermi liquid criticality and super universality in the quantum Hall regime

TL;DR

This paper presents a microscopic topological theory showing Coulomb interactions lead to non-Fermi liquid behavior in quantum Hall plateau transitions, offering new insights into critical exponents and quantum phase transitions.

Contribution

It introduces a topological $ heta$ vacuum-based approach demonstrating Coulomb potential causes non-Fermi liquid criticality in quantum Hall transitions, advancing understanding of quantum phase transitions.

Findings

Coulomb interactions induce non-Fermi liquid behavior in quantum Hall transitions

The theory explains recent experimental critical exponent measurements

Provides a novel topological framework for quantum phase transition analysis

Abstract

We report the results of a microscopic theory, based on the topological concept of a $\theta$ vacuum, which show that the Coulomb potential, unlike any finite ranged interaction potential, renders the longstanding problem of the plateau transitions in the quantum Hall regime non-Fermi liquid like. Our present results, which are of outstanding significance for quantum phase transitions in general and composite fermion ideas in particular, provide a novel understanding of the critical exponent values that have recently been (re)taken from a series of state-of-the-art quantum Hall samples.