Cubic* criticality emerging from quantum loop model on triangular lattice

Quantum loop and dimer models are archetypal examples of correlated systems with local constraints, whose generic solutions are difficult to obtain due to the lack of controlled methods to solve them in the thermodynamic limit. Yet, these solutions are of immediate relevance towards both statistical and quantum field theories, as well as the fast-growing experiments in Rydberg atom arrays and quantum moiré materials, where the interplay between correlation and local constraints gives rise to a plethora of novel phenomena. In a recent work[1], it was found via sweeping cluster quantum Monte Carlo (QMC) simulations and field theory analysis that the triangular lattice quantum loop model (QLM) hosts a rich ground state phase diagram with lattice nematic (LN), vison plaquette (VP) crystals, and the ℤ_2 quantum spin liquid (QSL) close to the Rokhsar-Kivelson (RK) point. Here, we focus on the continuous quantum critical point separating the VP and QSL phases and demonstrate via both static and dynamic probes in QMC simulations that this transition is of the (2+1)d Cubic* universality, in which the fractionalized visons in QSL condense to give rise to the crystalline VP phase, while leaving their trace in the anomalously large anomalous dimension exponent and pronounced continua in the dimer and vison spectra compared with those at the conventional Cubic or O(3) quantum critical points.