Anyonic quasiparticles of hardcore anyons

TL;DR

This paper demonstrates the construction of many-anyon wavefunctions with emergent anyonic quasiparticles, revealing different braiding statistics and providing insights into their properties in 2D lattice systems.

Contribution

It introduces a method to create many-anyon wavefunctions with emergent anyonic quasiparticles and analyzes their braiding statistics and density profiles.

Findings

Emergent anyonic quasiparticles have different braiding statistics from original anyons.

Monte Carlo simulations reveal density profiles of these quasiparticles.

The study extends understanding of anyonic excitations in many-body systems.

Abstract

Strongly interacting topologically ordered many-body systems consisting of fermions or bosons can host exotic quasiparticles with anyonic statistics. This raises the question whether many-body systems of anyons can also form anyonic quasiparticles. Here, we show that one can, indeed, construct many-anyon wavefunctions with anyonic quasiparticles. The braiding statistics of the emergent anyons are different from those of the original anyons. We investigate hole type and particle type anyonic quasiparticles in Abelian systems on a two-dimensional lattice and compute the density profiles and braiding properties of the emergent anyons by employing Monte Carlo simulations.