Electrons turn into anyons under an elastic membrane

TL;DR

This paper demonstrates that electrons can exhibit anyonic statistics when placed near a charged magnetic membrane, with the statistical parameter influenced by membrane tension and charge densities, and proposes a measurement method.

Contribution

It introduces a novel mechanism for electrons to acquire anyonic statistics via electromagnetic interactions with a charged magnetic membrane.

Findings

Electrons become anyons in the presence of a charged magnetic membrane.

The statistical parameter is irrational and depends on physical membrane properties.

A measurement scheme to determine the statistical parameter is proposed.

Abstract

We show that electrons acquire anyonic statistics if a two-dimensional electron gas is placed in proximity to a charged magnetic membrane. In this two-layered system, electrons become anyons through electromagnetic field mediated interactions with a membrane phonon. The statistical parameter is irrational and depends on the membrane tension and on the electric charge and magnetic dipolar densities on the membrane. We propose a measurement that yields the value of the statistical parameter.