Anyon-trions in atomically thin semiconductor heterostructures

TL;DR

This paper proposes a theoretical method to detect and manipulate anyons in quantum Hall systems by binding optically generated excitons to quasiholes, forming observable anyon-trions with measurable binding energies.

Contribution

It introduces the concept of anyon-trions formed by binding interlayer excitons to quasiholes, providing a new approach for optical detection of anyons in quantum Hall states.

Findings

Anyon-trions have a binding energy of about 0.5 meV when mobile.

Static anyon-trions have a binding energy of approximately 0.9 meV.

Binding energy is linearly proportional to the quasihole's fractional charge.

Abstract

The study of anyons in topologically ordered quantum systems has mainly relied on edge-state interferometry. However, realizing controlled braiding of anyons necessitates the ability to detect and manipulate individual anyons within the bulk. Here, we propose and theoretically investigate a first step toward this goal by demonstrating that a long-lived, optically generated interlayer exciton can bind to a quasihole in a fractional quantum Hall state, forming a composite excitation we term an anyon-trion. Using exact diagonalization, we show that mobile anyon-trions possess a binding energy of approximately 0.5 meV, whereas static anyon-trions exhibit a binding energy of about 0.9 meV, that is linearly proportional to the quasiholes fractional charge. An experimental realization based on photoluminescence from localized interlayer excitons in a quantum twisting microscope setup should allow for a direct optical observation of anyon-trions.