Phase diagram of the 3D quantum anisotropic XY model—A quantum Monte Carlo calculation

In this work we apply the stochastic series expansion quantum Monte Carlo method to study the quantum phase transition of the spin 1 three-dimensional XY model with easy-plane anisotropy D. We simulate this model in cubic lattices (L×L×L) with L∈(4,24) and periodic boundary condition. Using finite size scaling we obtained the phase diagram for the model, the critical exponent zν=0.501(5) and the quantum critical point Dc=9.7950(3)J. Using a low temperature expansion for the magnetic susceptibility we obtained zν=0.59(1). - Highlights: ► We simulated the S=1 3D anisotropic XY model with SSE QMC algorithm. ► We obtained the phase diagram for the model and the quantum critical point Dc. ► Our results agrees better with previous work using the SCHA than with bond operator. ► We calculated zν using the gap from low temperature susceptibility decay. ► We used a finite size scaling approach to calculate zν from spin stiffness