8 citations · 17 across the 12 of their papers we have counts for
13 papers
OpenProblemBench: Benchmarking AI on Open Problems in the Foundational Theoretical Sciences
Zhiyi Li, Sihan Hu, Tianning Xiao +4
The next frontier for artificial general intelligence is tackling unresolved scientific problems, calling for benchmarks that assess progress beyond established knowledge. We intro…
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…
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…
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 syste…
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…
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…
The Nonclassical Regime of the Two-dimensional Long-range XY Model: a Comprehensive Monte Carlo Study
Dingyun Yao, Tianning Xiao, Chao Zhang +2
The two-dimensional (2D) XY model plays a crucial role in statistical and condensed matter physics. With the introduction of long-range interactions, the system exhibits a richer s…
Logarithmic Finite-Size Scaling of the Four-Dimensional Ising Model
Zhiyi Li, Tianning Xiao, Zongzheng Zhou +2
Field-theoretical calculations predict that, at the upper critical dimension , the finite-size scaling (FSS) behaviors of the Ising model would be modified by multiplicative…
Two-dimensional XY Ferromagnet Induced by Long-range Interaction
Tianning Xiao, Dingyun Yao, Chao Zhang +2
The crossover between short-range and long-range (LR) universal behaviors remains a central theme in the physics of long-range interacting systems. The competition between LR coupl…
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…