Abstract
Motivated by a recent inelastic neutron scattering experiment on YbMgGaO4, I study the homogeneous spin model on the triangular lattice using the cluster mean-field theory and exact diagonalization. Phase diagrams with and without magnetic field are computed. The results show that the magnetic field can induce the phase transition from the spin liquid state (or the stripe state) to the 120∘ antiferromagnetic state. These phase transitions are suppressed by the next-nearest-neighbor exchange interaction J2/J1 and vanish as J2/J1>0.11. I analyze a parameter space at J2/J1=0.1, where a field induced phase transition can occur, and find that the deviation of the theoretical spin excitation energy from the experimental data is only about 0.054. These results imply that an effective homogeneous spin model still applies to YbMgGaO4.
