Non-abelian anyons induced by spontaneous symmetry breaking in a generalized Kitaev spin liquid model

Non-abelian anyons have been proved to be generated in Kitaev's quantum spin liquid by magnetic field. That enables the error-correcting topological quantum computation (TQC) to be performed. Spontaneous symmetry breaking induced non-abelian phase, rather than field-induced one, is better candidate for TQC in real materials. We propose an extended-Kitaev model on spin-1/2 honeycomb models with time-reversal-preserving interaction. Numerical evidence of spontaneous time-reversal-symmetry breaking is observed and supposed to possess non-abelian anyons. That makes it the first quantum spin liquid to generate non-abelian statistics through spontaneous symmetry breaking.