Variational renormalisation-group approach to the q-state Potts model in two dimensions

The two-dimensional q-state Potts model is investigated by means of a Kadanoff lower-bound renormalisation-group transformation that utilises a recent suggestion to identify disordered cells with vacancies. The topology of the phase diagram is obtained, including first- and second-order transitions for q>qc and q<or=qc, respectively, as well as accurate results for critical and tricritical exponents and the critical value qc.

[1]  M. den Nijs,et al.  A relation between the temperature exponents of the eight-vertex and q-state Potts model , 1979 .

[2]  M. Schick,et al.  First and Second Order Phase Transitions in Potts Models: Renormalization - Group Solution , 1979 .

[3]  C. Hamer,et al.  Strong Coupling Expansions and Phase Diagrams for the O(2), O(3) and O(4) Heisenberg Spin Systems in Two-dimensions , 1979 .

[4]  M. Nijs,et al.  Variational renormalization method and the Potts model , 1978 .

[5]  J. V. Leeuwen,et al.  Variational principles in renormalization theory , 1978 .

[6]  M. N. Barber Optimal variation approximations to renormalisation group transformations. I. Theory , 1977 .

[7]  C. Dasgupta Renormalization-group study of the Ashkin-Teller-Potts model in two dimensions , 1977 .

[8]  T. Burkhardt Application of Kadanoff's lower-bound renormalization transformation to the Blume-Capel model , 1976 .

[9]  L. Kadanoff,et al.  Variational approximations for renormalization group transformations , 1976 .

[10]  B. Nienhuis,et al.  First-Order Phase Transitions in Renormalization-Group Theory , 1975 .

[11]  L. Kadanoff Variational Principles and Approximate Renormalization Group Calculations , 1975 .

[12]  L. Kadanoff,et al.  Numerical evaluations of the critical properties of the two-dimensional Ising model , 1975 .

[13]  R. Baxter Potts model at the critical temperature , 1973 .

[14]  R. Baxter Partition function of the eight vertex lattice model , 1972 .