Particles with distance dependent statistics at low temperatures

TL;DR

This paper investigates a simplified model of particles with distance-dependent statistics coupled to a gauge field with a Chern-Simons term, revealing potential negative compressibility in low-lying two-particle states, suggesting novel quantum behaviors.

Contribution

It introduces a simplified model of particles with distance-dependent statistics coupled to a Chern-Simons gauge field and analyzes their low-energy states, uncovering new physical phenomena.

Findings

Low-lying two-particle states can exhibit negative compressibility.

The model suggests a possible e0 la van der Waals behavior.

Distance-dependent statistics influence the quantum properties of the system.

Abstract

We consider a simplified model of particles with effectively distance dependent statistics, that is particles coupled to a gauge field the Lagrangian of which contains the Chern-Simons term. We analyze the low-lying states of the two-particle system and show that under certain conditions they can exhibit negative compressibility, hinting on a possible \`a la van der Vaals picture.