Skip to Content

Semion wave function and energetics in a chiral spin liquid on the Kagome lattice

Chiral spin liquid is one of the earliest proposals for a topologically ordered phase in quantum spin systems. It was introduced by Kalmeyer and Laughlin in 1987 as the bosonic analogue of the fractional quantum Hall effect. Some models that realize chiral spin liquid have been recently proposed, but they are unlikely to be found in realistic materials. Here we find a chiral spin liquid in a physically motivated model for a Mott insulator on the Kagome lattice with broken time-reversal symmetry. We briefly describe a method of characterizing topological order from a microscopic lattice Hamiltonian based on a density matrix renormalization group. Our methods allow us to obtain explicit matrix-product state representations of the low-lying excitations of the chiral spin liquid state, including the topologically non-trivial semionic excitation. We characterize these excitations and study their energetics as the model is tuned towards a topological phase transition.