Curie Temperature of Anisotropic Ferromagnetic Films
| dc.creator | Garanin, D. A. | |
| dc.date | 1998-06-16 | |
| dc.date.accessioned | 2026-07-07T03:10:51Z | |
| dc.date.available | 2026-07-07T03:10:51Z | |
| dc.description | Dimensional crossover of ordering in ferromagnetic films with both periodic and free boundary conditions is studied for the exactly solvable uniaxial model of classical D-component spin vectors in the limit D \to \infty. Analytical and numerical solution of the exact equations describing this model shows that for lattice dimensionalities d>4, finite-size corrections to the bulk values of T_c are characterized by the mean-field exponents and anisotropy-dependent amplitudes. For d =< 4, the mean-field behavior is only realized in the region κ_c N >> 1, where κ_c is the dimensionlesss inverse transverse (with respect to the easy axis) bulk correlation length at T_c and N is the number of layers in the film. In the region κ_c N << 1 and the dimensionality range 3 < d =< 4, finite-size corrections are described by the universality class of the isotropic D=\infty model. For d =< 3, magnetic ordering vanishes in the isotropic limit, κ_c \to 0, since the film behaves as an object of dimensionality d'=d-1 =< 2 and long-wavelength fluctuations destroy the order. Here the suppression of T_c of a film can be substantial, depending on the competition between the weakening anisotropy and the increasing film thickness. For thick films, T_c becomes small only for very small anisotropy. | |
| dc.description | 11 PR pages, 7 figures, submitted to PRB | |
| dc.identifier | https://arxiv.org/abs/cond-mat/9806198 | |
| dc.identifier | http://arxiv.org/abs/cond-mat/9806198 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/28358 | |
| dc.subject | Statistical Mechanics | |
| dc.title | Curie Temperature of Anisotropic Ferromagnetic Films | |
| dc.type | text |