String-like Theory of Quantum Hall Interfaces

TL;DR

This paper derives string-like effective theories for quantum Hall droplets with attractive interactions, focusing on their free-moving interfaces and potential generalizations to different quantum Hall liquids.

Contribution

It introduces a novel string-like theoretical framework for quantum Hall interfaces, expanding understanding of their boundary dynamics and interactions.

Findings

Effective theories resemble string theories.

Interfaces are defined by free-moving boundaries.

Generalization to different quantum Hall liquids discussed.

Abstract

We derive the effective theories for quantum hall droplets with attractive interaction among the constituent particles. In the absence of confining potentials such droplets are defined by their freely moving interfaces (or boundaries) with the vacuum. We demonstrate the effective theories take forms similar to string theories. Generalization to interfaces between different quantum Hall liquids is discussed.