title: 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.
authors.affiliation: Laboratoire de Physique Théorique UMR-5152, CNRS and Université de Toulouse, F-31062 France.
authors.forename: Didier
authors.initials: D
authors.lastname: Poilblanc
authors.forename: Matthias
authors.initials: M
authors.lastname: Troyer
authors.forename: Eddy
authors.initials: E
authors.lastname: Ardonne
authors.forename: Parsa
authors.initials: P
authors.lastname: Bonderson