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We compute by numerical transfer-matrix methods the surface free energy$\tau(T),$ the surface stiffness coefficient $\kappa(T),$ and the single-stepfree energy $s(T)$ for Ising ferromagnets with $(\infty \times L)$square-lattice and $(\infty \times L \times M)$ cubic-lattice geometries, intowhich an interface is introduced by imposing antiperiodic or plus/minusboundary conditions in one transverse direction. These quantities occur inexpansions of the angle-dependent surface tension, either for rough or forsmooth interfaces. The finite-size scaling behavior of the interfacialcorrelation length provides the means of investigating $\kappa(T)$ and $s(T).$The resulting transfer-matrix estimates are fully consistent with previousseries and Monte Carlo studies, although current computational technology doesnot permit transfer-matrix studies of sufficiently large systems to showquantitative improvement over the previous estimates.Comment: 40 pages, 17 figures available on request. RevTeX version 2.

Numerical transfer-matrix study of surface-tension anisotropy in Ising models on square and cubic lattices