The location of the Fisher zeros and estimates of yT = 1/ν are found for the Baxter-Wu model
arXiv:2202.13207 · doi:10.1088/1751-8121/ac8531
Abstract
It is shown that the location of the Fisher zeros of the Baxter-Wu model, for two series of finite sized clusters, with spherical boundary conditions, is extremely simple. They lie on the unit circle in the complex Sinh[2\b{eta}J3] plane. This is the same location as the Fisher zeros of the Ising model with nearest neighbor interactions, J2, on the square lattice have, with Brascamp-Kunz boundary conditions. The Baxter-Wu model is an Ising model with three site interactions, J3, on the triangle lattice. From the leading Fisher zeros, using finite size scaling, accurate estimates of the critical exponent 1/ν are obtained. Furthermore, using the imaginary parts of the leading zeros versus the real part of the leading zeros leads to different results similar the results of Janke and Kenna for the nearest neighbor, Ising model on the square lattice and extending this behavior to a multi-site interaction system.
12 pages, 4 figures, 3 tables
References in corpus (4)
- Statistical Mechanics of Equilibrium and Nonequilibrium Phase Transitions: The Yang-Lee Formalism
- Exact Finite-Size Scaling and Corrections to Scaling in the Ising Model with Brascamp-Kunz Boundary Conditions
- Monte Carlo study of the Pure and Dilute Baxter-Wu model
- Exact finite-size scaling with corrections in the two-dimensional Ising model with special boundary conditions