论文信息 - The failure of a conjectured S4 symmetry in the three-state checkerboard Potts model

The failure of a conjectured S4 symmetry in the three-state checkerboard Potts model

Low-temperature expansions are obtained for the three-state Potts model on the checkerboard lattice. The four Boltzmann weights were set to various integer multiples of a low-temperature variable x. The series were evaluated to order x19 but it was found that the conjectured S4 symmetry failed at order x14 for the zero-field partition function, the spontaneous magnetisation and the zero-field susceptibility.

I. Enting

[1] D. Dhar,et al. Susceptibility of the checkerboard Ising model , 1985 .

[2] R. Rammal,et al. S4-symmetry on the checkerboard Potts model , 1985 .

[3] J. Maillard,et al. Inversion relations and disorder solutions on Potts models , 1984 .

[4] I. Enting,et al. Two three-state Potts models: the universality of confluent corrections to scaling , 1983 .

[5] F. Y. Wu,et al. Triangular lattice Potts models , 1982 .

[6] Ian G. Enting,et al. Generating functions for enumerating self-avoiding rings on the square lattice , 1980 .

[7] I. Enting. Universality in a generalised Potts model , 1980 .

[8] I. Enting. Series analysis for the three-state Potts model , 1980 .

[9] I. Enting. Some Algebraic Techniques for obtaining Low-temperature Series Expansions , 1978 .

[10] I. Enting. Generalised Mobius functions for rectangles on the square lattice , 1978 .

[11] I. Enting. Series Expansions from the Finite Lattice Method , 1977 .

[12] I. Enting. Series expansions for the Potts model: high-field expansions , 1974 .