# Striped anyonic fluids

## TL;DR

This paper explores how the statistics of anyons influence their strongly coupled fluid behavior using holography, revealing effects on phase stability and spatial order formation, and connecting to (2+1)D QED.

## Contribution

It introduces a holographic model for anyonic fluids with variable statistics and analyzes their stability and phase transitions, including a link to (2+1)D QED.

## Key findings

- Alternative boundary conditions affect phase stability.
- Instability can lead to spatially modulated phases.
- Connection established with strongly coupled (2+1)D QED.

## Abstract

The choice of statistics for a quantum particle is almost always a discrete one: either bosonic or fermionic. Anyons are the exceptional case for which the statistics can take a range of intermediate values. Holography provides an opportunity to address the question of how the behavior of interacting anyons depends on the choice of statistics. In this paper, we analyze the spectrum of a strongly coupled, gapless fluid of anyons described holographically by the D3-D7' model with alternative boundary conditions. We investigate how these alternative boundary conditions impact the instability of the gapless homogeneous phase toward the formation of spatial order. In addition, we also show that for a particular, limiting choice of the alternative boundary conditions, this holographic system can be interpreted as describing strongly coupled (2+1)-dimensional QED. In this case, the instability leads to a spontaneous, spatially modulated magnetic field.