A new look at the 2D Ising model from exact partition function zeros for large lattice sizes

Abstract

A general numerical method is presented to locate the partition function zeros in the complex beta plane for large lattice sizes. We apply this method to the 2D Ising model and results are reported for square lattice sizes up tp L=64. We also propose an alternative method to evaluate corrections to scaling which relies only on the leading zeros. This method is illustrated with our data.

9 pages, Latex, 3 figures. To appear in Int. J. Mod. Phys. C

Cited by in corpus (11)

• Exact Finite-Size Scaling and Corrections to Scaling in the Ising Model with Brascamp-Kunz Boundary Conditions
• Yang-Lee zeros for a nonequilibrium phase transition
• Solution effects and the order of the helix-coil transition in polyalanine
• Numerical comparison of two approaches for the study of phase transitions in small systems
• Stripe-tetragonal phase transition in the 2D Ising model with dipole interactions: Partition-function zeros approach
• Partition function zeros and leading order scaling correction of the 3D Ising model from multicanonical simulations
• Exact finite-size scaling with corrections in the two-dimensional Ising model with special boundary conditions
• Universal Amplitude Ratios in the Ising Model in Three Dimensions
• Finding the Dominant Zero of the Energy Probability Distribution
• The location of the Fisher zeros and estimates of yT = 1/ν are found for the Baxter-Wu model
• A Microcanonical Inflection Point Analysis via Parametric Curves and its Relation to the Zeros of the Partition Function