Fractionalization of itinerant anyons in one dimensional chains

Abstract

We construct models of interacting itinerant non-Abelian anyons moving along one-dimensional chains, focusing in particular on itinerant Ising anyon chains, and derive effective anyonic t-J models for the low energy sectors. Solving these models by exact diagonalization, we find a fractionalization of the anyons into charge and (non-Abelian) anyonic degrees of freedom -- a generalization of spin-charge separation of electrons which occurs in Luttinger liquids. A detailed description of the excitation spectrum by combining spectra for charge and anyonic sectors requires a subtle coupling between charge and anyonic excitations at the microscopic level (which we also find to be present in Luttinger liquids), despite the macroscopic fractionalization.

5 pages, 3 figures

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Cited by in corpus (11)

• Quantum phases of a chain of strongly interacting anyons
• One-dimensional itinerant interacting non-Abelian anyons
• Finite Density Matrix Renormalisation Group Algorithm for Anyonic Systems
• Simulation of braiding anyons using Matrix Product States
• Effective models of doped quantum ladders of non-Abelian anyons
• Numerical simulation of non-abelian anyons
• Phase transitions on a ladder of braided non-Abelian anyons
• Anyonic quasiparticles of hardcore anyons
• Anyon Chains with Pairing Terms
• Studies of braided non-Abelian anyons using anyonic tensor networks
• Phases of Interacting Fibonacci Anyons on a Ladder at Half-Filling