Magnetic field induced spin liquids in S=1 Kitaev honeycomb model

Abstract

We investigate the ground state properties of the spin S=1 Kitaev honeycomb model under a magnetic field based on the density matrix renormalization group (DMRG) calculation. With the time-reversal symmetry breaking due to the magnetic field, a gapped Kitaev spin liquid is identified for both ferromagnetic (FM) and antiferromagnetic (AFM) Kitaev couplings. The topological nature of such a Kitaev spin liquid is manifested by a nearly quantized Wilson loop, degeneracy in the entanglement spectra, and the existence of edge modes. While the FM Kitaev spin liquid is destroyed by a weaker magnetic field H∗FM, the AFM one demonstrates a robustness up to an order of magnitude larger critical field H∗AFM. Moreover, an intermediate nonmagnetic phase appears only for the AFM case at larger fields, H∗AFM