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An exact chiral spin liquid with non-Abelian anyons

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arxiv 0708.0040 v3 pith:KORQ6XX7 submitted 2007-08-01 cond-mat.str-el cond-mat.mes-hall

Hong Yao , Steven A. Kivelson This is my paper · ORCID
classification cond-mat.str-elcond-mat.mes-hall
keywords chiralexacthoneycomblatticeliquidnon-abelianspinstate
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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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  1. Three-dimensional spin-orbital liquids

    cond-mat.str-el 2026-02 conditional novelty 6.0 of 10

    Three-dimensional spin-orbital liquids host gapless Majorana metals whose Fermi surfaces, nodal lines, and Weyl points are organized by lattice symmetry and flavor structure.

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