3 citations · 7 across the 13 of their papers we have counts for
7 papers
Scaling of Long-Range Loop-Erased Random Walks
Tianning Xiao, Xianzhi Pan, Zhijie Fan +1
We study the scaling properties of long-range loop-erased random walks (LR-LERW), where the underlying random walker performs Lévy-flight-like jumps with a power-law step-length di…
On Sak's criterion for statistical models with long-range interaction
Tianning Xiao, Ziyu Liu, Zhijie Fan +1
Determining the threshold value that separates the short-range (SR) and long-range (LR) universality classes in phase transitions remains a controversial issue. While Sak's c…
Universality Diagram of Phase Transitions in Long-range Statistical Systems
Tianning Xiao, Zhijie Fan, Youjin Deng
The percolation, Ising, and O() models constitute fundamental systems in statistical and condensed matter physics. For short-range-interacting cases, the nature of their phase t…
Two-dimensional percolation model with long-range interaction
Ziyu Liu, Tianning Xiao, Zhijie Fan +1
We perform large-scale simulations of the two-dimensional long-range bond percolation model with algebraically decaying percolation probabilities , using both conve…
Quantum Path-integral Method for Fictitious Particle Hubbard Model
Zhijie Fan, Tianning Xiao, Youjin Deng
We formulate a path-integral Monte Carlo algorithm for simulating lattice systems consisting of fictitious particles governed by a generalized exchange statistics. This method, ini…
Asymptotic Freedom and Finite-size Scaling of Two-dimensional Classical Heisenberg Model
Dingyun Yao, Chao Zhang, Z. Y. Xie +2
The classical Heisenberg model is one of the most fundamental models in statistical and condensed matter physics. Extensive theoretical and numerical studies suggest that, in two d…