Orbital spins of the collective excitations in Hall liquids

TL;DR

This paper reveals that the order parameter in the quantum Hall effect's Chern-Simons-Ginzburg-Landau theory has intrinsic orbital angular momentum, which encodes topological order and can be experimentally measured via circular-polarized Raman scattering.

Contribution

It introduces a modification to the existing theory by incorporating the orbital angular momentum of the order parameter, linking it to topological properties and proposing an experimental measurement method.

Findings

Order parameter carries intrinsic orbital angular momentum.

Angular momentum encodes topological order.

Proposed measurement via circular-polarized Raman scattering.

Abstract

We show that the Chern-Simons-Ginzburg-Landau theory of the quantum Hall effect needs a modification, because the order parameter in that theory carries an intrinsic orbital angular momentum. This quantum number contains additional information about the topological order of the Hall liquids. We propose to measure this angular momentum by circular-polarized Ramman scattering.