Continuous quantum phase transition between an antiferromagnet and a valence-bond-solid in two dimensions; evidence for logarithmic corrections to scaling

Understand

The antiferromagnetic to valence-bond-solid phase transition in the two-dimensional J-Q model (an S=1/2 Heisenberg model with four-spin interactions) is studied using large-scale quantum Monte Carlo simulations.

• The results support a continuous transition of the ground state, in agreement with the theory of "deconfined" quantum criticality.
• There are, however, large corrections to scaling, of logarithmic or very slowly decaying power-law form, which had not been anticipated.
• This suggests that either the SU($N$) symmetric noncompact CP^(N-1) field theory for deconfined quantum criticality has to be revised, or that the theory for N=2 (as in the system studied here) differs significantly from N -> infinity (where the field theory is analytically tractable).