Hamiltonian Theory of Disorder at 1/3

TL;DR

This paper extends the Hamiltonian theory of the fractional quantum Hall regime to include disorder, demonstrating that a minimal model aligns well with experimental observations and reveals how disorder-interaction interplay can mimic spin textures.

Contribution

It introduces a simple, minimal model incorporating disorder into the Hamiltonian theory of FQH, matching experimental results and explaining spin texture signatures.

Findings

Disorder effects can be modeled simply within the Hamiltonian framework.

The model reproduces experimental gap and polarization data.

Disorder-interaction interplay can mimic spin textures in experiments.

Abstract

The Hamiltonian Theory of the fractional quantum Hall (FQH) regime provides a simple and tractable approach to calculating gaps, polarizations, and many other physical quantities. In this paper we include disorder in our treatment, and show that a simple model with minimal assumptions produces results consistent with a range of experiments. In particular, the interplay between disorder and interactions can result in experimental signatures which mimic those of spin textures.