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arXiv · 1112.5950

Fractionalization of itinerant anyons in one dimensional chains

Didier Poilblanc·Matthias Troyer·Eddy Ardonne·Parsa Bonderson
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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.

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Didier Poilblanc, Matthias Troyer, Eddy Ardonne, Parsa Bonderson. 2011-12-27. Fractionalization of itinerant anyons in one dimensional chains. https://doi.org/10.1103/physrevlett.108.207201

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