A Holographic Model of Quantum Hall Transition

TL;DR

This paper presents a holographic model inspired by string theory to study quantum Hall transitions, revealing a phase change between different filling fractions influenced by magnetic fields and chemical potential.

Contribution

It introduces a new holographic framework for quantum Hall transitions that allows tuning the phase transition point via model parameters.

Findings

Identifies a phase transition between filling fractions ±1/2.

Demonstrates the transition can occur at arbitrary magnetic fields.

Provides a regularization method to handle UV divergences.

Abstract

We consider a phenomenological holographic model, inspired by the D3/D7 system with a 2+1 dimensional intersection, at finite chemical potential and magnetic field. At large 't Hooft coupling the system is unstable and needs regularization; the UV cutoff can be decoupled by considering a certain double scaling limit. At finite chemical potential the model exhibits a phase transition between states with filling fractions plus and minus one--half as the magnetic field is varied. By varying the parameters of the model, this phase transition can be made to happen at arbitrary values of the magnetic field.