# What is the critical temperature for a BKT transition in the 2D quantum XY model with $S=1$ (not $S=1/2$)?

What is the critical temperature for a BKT transition in the 2D quantum XY model with $$S=1$$ (not $$S=1/2$$)? For instance, the classical XY model has KTc/J = 0.898 and the quantum XY model with S=1/2 has KTc/J = .350.