Jian-Ping Lv

Simultaneous analysis of three-dimensional percolation models

We simulate the bond and site percolation models on several three-dimensional lattices, including the diamond, body-centered cubic, and face-centered cubic lattices. As on the simple-cubic lattice [Phys. Rev. E, 2013, 87(5): 052107], it is observed that in comparison with dimensionless ratios based on cluster-size distribution, certain wrapping probabilities exhibit weaker finite-size corrections and are more sensitive to the deviation from percolation threshold pc, and thus provide a powerful means for determining pc. We analyze the numerical data of the wrapping probabilities simultaneously such that universal parameters are shared by the aforementioned models, and thus significantly improved estimates of pc are obtained.

Coulomb Liquid Phases of Bosonic Cluster Mott Insulators on a Pyrochlore Lattice.

Employing large-scale quantum Monte Carlo simulations, we reveal the full phase diagram of the extended Hubbard model of hard-core bosons on the pyrochlore lattice with partial fillings. When the intersite repulsion is dominant, the system is in a cluster Mott insulator phase with an integer number of bosons localized inside the tetrahedral units of the pyrochlore lattice. We show that the full phase diagram contains three cluster Mott insulator phases with 1/4, 1/2, and 3/4 boson fillings, respectively. We further demonstrate that all three cluster Mott insulators are Coulomb liquid phases and its low-energy property is described by the emergent compact U(1) quantum electrodynamics. In addition to measuring the specific heat and entropy of the cluster Mott insulators, we investigate the correlation function of the emergent electric field and verify it is consistent with the compact U(1) quantum electrodynamics description. Our result sheds light on the magnetic properties of various pyrochlore systems, as well as the charge physics of the cluster magnets.

Two-species hard-core bosons on the triangular lattice: A quantum Monte Carlo study

Using worm-type quantum Monte Carlo simulations, we investigate bosonic mixtures on the triangular lattice of two species of bosons, which interact via nearest-neighbour intraspecies (

Interacting hard-core bosons with anisotropic hopping: Checkerboard supersolid, order by disorder, and first-order phase transitions

V

Scaling of cluster heterogeneity in the two-dimensional Potts model.

) and onsite interspecies (

Testing a model with an extended O(2) symmetry in two and three dimensions

U

Worm-type Monte Carlo simulation of the Ashkin-Teller model on the triangular lattice.

) repulsions. For the case of symmetric hopping amplitude (

Duality and the universality class of the three-state Potts antiferromagnet on plane quadrangulations

t_A/V=t_B/V

The three-state Potts antiferromagnet on plane quadrangulations

) and

Kaleidoscope of supersolid phases of interacting hard-core bosons on the dice lattice

U/V=1