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

摘要

A recent simplified transfer matrix solution of the two-dimensional Isingmodel on a square lattice with periodic boundary conditions is generalized toperiodic-antiperiodic, antiperiodic-periodic and antiperiodic-antiperiodicboundary conditions. It is suggested to employ linear combinations of theresulting partition functions to investigate finite-size scaling. An exactrelation of such a combination to the partition function corresponding toBrascamp-Kunz boundary conditions is found.