Disordered phase in three-dimensional antiferromagnetic frustrated spin-1 xy model with ring exchange interaction and single-ion anisotropy

Abstract In this paper we study the quantum phase transitions in a three-dimensional antiferromagnetic J 1 − J 2 xy model for spin 1 with coupling between planes α = J ′ J 1 , single ion anisotropy D and ring exchange interactions K > 0 . We investigate the zero temperature phase diagram of the model using Schwinger's boson SU ( 3 ) method. We find an intermediate disordered magnetic phase, which separates the ordered phase at wave vector k = ( π , π , π ) ( J 1 > > J 2 ) and the stripe antiferromagnetic phase ( J 1 J 2 ) at wave vector k = ( 0 , π , π ) . The ring exchange interaction K widens the disordered region in the phase diagram.