10 papers
Two-dimensional percolation with algebraically decaying interactions II: Critical exponents in the long-range regime
Ziyu Liu, Tianning Xiao, Zhijie Fan +1
We present a comprehensive Monte Carlo study of two-dimensional bond percolation with algebraically decaying connection probabilities , establishing the univ…
Spontaneous Symmetry Breaking in Two-dimensional Long-range Heisenberg Model
Tianning Xiao, Dingyun Yao, Lode Polle +2
Algebraically decaying interactions can lead to nontrivial universality beyond short-range (SR) theories and spontaneous symmetry breaking in low-dimensional syst…
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 d…
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…
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…
Fate of Berezinskii-Kosterlitz-Thouless Paired Phase in Coupled Models
Tianning Xiao, Youjin Deng, Xiao-Yu Dong
Intriguing phases may emerge when two-dimensional systems are coupled in a bilayer configuration. In particular, a Berezinskii-Kosterlitz-Thouless (BKT) paired superfluid phase was…