A Numerical Transfer-Matrix Study of Surface-Tension Anisotropy in Ising Models on Square and Cubic Lattices

Дата и время публикации : 1993-05-13T14:46:58Z

Авторы публикации и институты :
Howard L. Richards
M. A. Novotny
Per Arne Rikvold

Ссылка на журнал-издание: Phys. Rev. B, 48 (1993) 14584-14598
Коментарии к cтатье: 40 pages, 17 figures available on request. RevTeX version 2.1
Первичная категория: cond-mat

Все категории : cond-mat, hep-lat

Краткий обзор статьи: We compute by numerical transfer-matrix methods the surface free energy $tau(T),$ the surface stiffness coefficient $kappa(T),$ and the single-step free energy $s(T)$ for Ising ferromagnets with $(infty times L)$ square-lattice and $(infty times L times M)$ cubic-lattice geometries, into which an interface is introduced by imposing antiperiodic or plus/minus boundary conditions in one transverse direction. These quantities occur in expansions of the angle-dependent surface tension, either for rough or for smooth interfaces. The finite-size scaling behavior of the interfacial correlation length provides the means of investigating $kappa(T)$ and $s(T).$ The resulting transfer-matrix estimates are fully consistent with previous series and Monte Carlo studies, although current computational technology does not permit transfer-matrix studies of sufficiently large systems to show quantitative improvement over the previous estimates.

Category: Physics