Junctions of anyonic Luttinger wires

TL;DR

This paper investigates the behavior of anyonic Luttinger liquid wires joined at a point, analyzing fixed points and stability using bosonization, and extends understanding of junctions in quantum wire systems.

Contribution

It introduces a solvable model for anyonic Luttinger liquid junctions with arbitrary wires, exploring boundary conditions and fixed point stability.

Findings

Identified critical fixed points in the low momentum regime

Analyzed stability of various fixed points

Extended solvable models to arbitrary wire junctions

Abstract

We present an extended study of anyonic Luttinger liquids wires jointing at a single point. The model on the full line is solved with bosonization and the junction of an arbitrary number of wires is treated imposing boundary conditions that preserve exact solvability in the bosonic language. This allows to reach, in the low momentum regime, some of the critical fixed points found with the electronic boundary conditions. The stability of all the fixed points is discussed.