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arXiv · 0708.0040

An exact chiral spin liquid with non-Abelian anyons

Hong Yao·Steven A. Kivelson
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Abstract

We establish the existence of a chiral spin liquid (CSL) as the exact ground state of the Kitaev model on a decorated honeycomb lattice, which is obtained by replacing each site in the familiar honeycomb lattice with a triangle. The CSL state spontaneously breaks time reversal symmetry but preserves other symmetries. There are two topologically distinct CSLs separated by a quantum critical point. Interestingly, vortex excitations in the topologically nontrivial (Chern number $\pm 1$) CSL obey non-Abelian statistics.

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Hong Yao, Steven A. Kivelson. 2007-12-14. An exact chiral spin liquid with non-Abelian anyons. https://doi.org/10.1103/physrevlett.99.247203

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