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

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

2002-09-24

arxiv.org/abs/cond-mat/0209544v1

Phys. Rev. E 66, 057103 (2002)

Physics

Condensed Matter

Statistical Mechanics

Phys.Rev.E, to be published

Scientific paper

10.1103/PhysRevE.66.057103

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.

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