An exact chiral spin liquid with non-Abelian anyons

2007/08/31 by Hong Yao, Steven A. Kivelson · 4 citations
Physics and Astronomy · #cond-mat.str-el #cond-mat.mes-hall

paper · pdf · doi:10.1103/physrevlett.99.247203

published as Phys. Rev. Lett. 99, 247203 (2007) · 4 pages, 2 figures; published version in Phys. Rev. Lett

arxiv created 2007/12/14 · arxiv updated 2009/12/01

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 ± 1) CSL obey non-Abelian statistics.

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