Deconfined quantum criticality of easy-plane J-Q model

Motivated by the recently confirmed duality relation between bosonic topological phase transition and deconfined quantum critical (DQC) point [1], we perform systematic numerical investigations of the critical properties of the easy-plane JQ model, in which the DQC point is realized. By means of stochastic series expansion quantum Monte Carlos simulation and finite-size analysis, we investigate the quantum phase transition between the antiferromagnetic XY phase and the valence-bond solid phase at varies values of the uniaxial anisotropy. In the easy-plane limit the transition is found to be first order, but for a range of weaker anisotropies the transition is continuous and governed by the DQC point with emergent SO(4) symmetry. We demonstrate this using scaling analysis for several quantities.
[1]Y. Qin, Y-Yao He, Y. You, Z-Y. Lu, A. Sen, A. W. Sandvik, C. Xu and Z. Y. Meng, Phys. Rev. X 7, 031052 (2017)