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Ising models on the hydrogen peroxide and other lattices
Xiaofeng Qian, Youjin Deng, Lev N. Shchur +1
We perform a Monte Carlo analysis of the Ising model on many three-dimensional lattices. By means of finite-size scaling we obtain the critical points and determine the scaling dim…
Equivalent-neighbor Potts models in two dimensions
Xiaofeng Qian, Youjin Deng, Yuhai Liu +2
We investigate the two-dimensional and 4 Potts models with a variable interaction range by means of Monte Carlo simulations. We locate the phase transitions for several inter…
Single-cluster dynamics for the random-cluster model
Youjin Deng, Xiaofeng Qian, Henk W. J. Blote
We formulate a single-cluster Monte Carlo algorithm for the simulation of the random-cluster model. This algorithm is a generalization of the Wolff single-cluster method for the $q…
Geometric properties of two-dimensional O(n) loop configurations
Chengxiang Ding, Xiaofeng Qian, Youjin Deng +2
We study the fractal geometry of O() loop configurations in two dimensions by means of scaling and a Monte Carlo method, and compare the results with predictions based on the Co…
Critical line of an n-component cubic model
Wenan Guo, Xiaofeng Qian, Henk W. J. Blöte +1
We consider a special case of the n-component cubic model on the square lattice, for which an expansion exists in Ising-like graphs. We construct a transfer matrix and perform a fi…
Critical frontier of the triangular antiferromagnet in a field
X. F. Qian, M. Wegewijs, H. W. J. Bloete
We study the critical line of the triangular Ising antiferromagnet in an external magnetic field by means of a finite-size analysis of results obtained by transfer-matrix and Monte…