We apply Plechko’s Grassmann path-integral method to Ising cylinders of rectangular, triangular, and hexagonal lattices to obtain the analytic solutions of free energies for the periodic and antiperiodic boundary conditions in the joined circumferences of the cylinders. These analytic solutions are used to analyze the scaling functions of the interfacial tensions for isotropic and anisotropic couplings. The finite-size corrections to the scaling functions are also discussed.
|Number of pages||12|
|Journal||Physical Review B - Condensed Matter and Materials Physics|
|State||Published - 1999|