Simplified Transfer Matrix Approach in the Two-Dimensional Ising Model with Various Boundary Conditions
Statistical Mechanics
2007-05-23 v1
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.
Keywords
Cite
@article{arxiv.cond-mat/0209544,
title = {Simplified Transfer Matrix Approach in the Two-Dimensional Ising Model with Various Boundary Conditions},
author = {Boris Kastening},
journal= {arXiv preprint arXiv:cond-mat/0209544},
year = {2007}
}
Comments
Phys.Rev.E, to be published