766 citations · 5.3k across the 140 of their papers we have counts for
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Interplay of the complete-graph and Gaussian fixed-point asymptotics in finite-size scaling of percolation above the upper critical dimension
Mingzhong Lu, Sheng Fang, Zongzheng Zhou +1
Percolation has two mean-field theories, the Gaussian fixed point (GFP) and the Landau mean-field theory or the complete graph (CG) asymptotics. By large-scale Monte Carlo simulati…
Sweeny dynamics for the random-cluster model with small
Zirui Peng, Eren Metin Elçi, Youjin Deng +1
The Sweeny algorithm for the -state random-cluster model in two dimensions is shown to exhibit a rich mixture of critical dynamical scaling behaviors. As decreases, the so-c…
Graphical Representations and Worm Algorithms for the O() Spin Model
Longxiang Liu, Lei Zhang, Xiaojun Tan +1
We present a family of graphical representations for the O() spin model, where represents the spin dimension, and corresponds to the Ising, XY and Heisenberg…
Iterative Site Percolation on Triangular Lattice
Ming Li, Youjin Deng
The site percolation on the triangular lattice stands out as one of the few exactly solved statistical systems. By initially configuring critical percolation clusters of this model…
Geometric properties of the complete-graph Ising model in the loop representation
Zhiyi Li, ZongZheng Zhou, Sheng Fang +1
The exact solution of the Ising model on the complete graph (CG) provides an important, though mean-field, insight for the theory of continuous phase transitions. Besides the origi…
Geometric scaling behaviors of the Fortuin-Kasteleyn Ising model in high dimensions
Sheng Fang, Zongzheng Zhou, Youjin Deng
Recently, we argued [Chin. Phys. Lett. , 080502 (2022)] that the Ising model simultaneously exhibits two upper critical dimensions in the Fortuin-Kasteleyn (FK…