Simplified Transfer Matrix Approach in the Two-Dimensional Ising Model with Various Boundary Conditions

Abstract

A recent simplified transfer matrix solution of the two-dimensional Ising model on a square lattice with periodic boundary conditions is generalized to periodic-antiperiodic, antiperiodic-periodic and antiperiodic-antiperiodic boundary conditions. It is suggested to employ linear combinations of the resulting partition functions to investigate finite-size scaling. An exact relation of such a combination to the partition function corresponding to Brascamp-Kunz boundary conditions is found.

Phys.Rev.E, to be published

References in corpus (6)

• Exact Finite-Size Scaling and Corrections to Scaling in the Ising Model with Brascamp-Kunz Boundary Conditions
• Exact finite-size corrections for the square lattice Ising model with Brascamp-Kunz boundary conditions
• Exact partition functions of the Ising model on MxN planar lattices with periodic-aperiodic boundary conditions
• Simplifying Kaufman's Solution of the Two-Dimensional Ising Model
• Pedestrian Solution of the Two-Dimensional Ising Model
• Exact finite-size scaling with corrections in the two-dimensional Ising model with special boundary conditions

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• A chaotic lattice field theory in one dimension
• Prescription for choosing an interpolating function