Home page > Headlines > Fractionalization of Itinerant Anyons in One-Dimensional Chains
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- 15 May 2013All the versions of this article: English , français
The experimental progress (e.g. on strongly spin-orbit coupled nano-wires deposited on a superconductor) in establishing the existence of non-abelian particles is very exciting and is the first step in utilizing topological phases of matter for e.g. topological quantum computing.
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.
Postscript :
References: "Fractionalization of Itinerant Anyons in One-Dimensional Chains", Didier Poilblanc, Matthias Troyer, Eddy Ardonne, and Parsa Bonderson, Phys. Rev. Lett. 108, 207201 (2012);
"One-dimensional itinerant interacting non-Abelian anyons", Didier Poilblanc, Adrian Feiguin, Matthias Troyer, Eddy Ardonne, and Parsa Bonderson, Phys. Rev. B 87, 085106 (2013).
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