# Vortex patterns in the almost-bosonic anyon gas

## TL;DR

This paper investigates the ground state vortex patterns in a 2D almost-bosonic anyon gas, revealing vortex lattice structures with density proportional to matter density, using a mean-field approach.

## Contribution

It introduces a mean-field energy functional for almost-bosonic anyons and characterizes vortex lattice formations with a novel density relationship.

## Key findings

- Vortex lattices similar to rotating Bose-Einstein condensates
- Vortex density proportional to matter density
- Theoretical and numerical analysis of ground states

## Abstract

We study theoretically and numerically the ground state of a gas of 2D abelian anyons in an external trapping potential. We treat anyon statistics in the magnetic gauge picture, perturbatively around the bosonic end. This leads to a mean-field energy functional, whose ground state displays vortex lattices similar to those found in rotating Bose-Einstein condensates. A crucial difference is however that the vortex density is proportional to the underlying matter density of the gas.