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A quantum phase transition is typically induced by tuning an externalparameter that appears as a coupling constant in the Hamiltonian. Another routeis to vary the global symmetry of the system, generalizing, e.g., SU(2) toSU(N). In that case, however, the discrete nature of the control parameterprevents one from identifying and characterizing the transition. We show howthis limitation can be overcome for the SU(N) Heisenberg model with the help ofa singlet projector algorithm that can treat N continuously. On the squarelattice, we find a direct, continuous phase transition between Neel-ordered andcrystalline bond-ordered phases at Nc=4.57(5) with critical exponents z=1 andbeta/nu=0.81(3).

The SU(N) Heisenberg model on the square lattice: a continuous-N quantum Monte Carlo study