Dynamics of chiral spin liquids in the Kitaev-Yao-Kivelson model

Chiral spin liquid (CSL) is a type of quantum spin liquids which spontaneously break time reversal symmetry (TRS). For the exactly solvable Kitaev-Yao-Kivelson (KYK) model on the star lattice, the ground state is a CSL phase with either Abelian or non-Abelian anyons, depending on the parameters of the KYK model. We perform a theoretical study of the dynamical structure factor in both Abelian and non-Abelian phases of this model. Our result shows direct signatures of the Majorana fermions, vortex excitations, zero-energy modes of vortex excitations in the non- Abelian phase.