172 citations · 455 across the 23 of their papers we have counts for
3 papers · 2 filters
Finite-Size Scaling of the High-Dimensional Ising Model in the Loop Representation
Tianning Xiao, Zhiyi Li, Zongzheng Zhou +2
Besides its original spin representation, the Ising model is known to have the Fortuin-Kasteleyn (FK) bond and loop representations, of which the former was recently shown to exhib…
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…
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…