Date of Original Version
We discuss the interaction between interfaces that is mediated by critical fluctuations, and in particular the universality of the corresponding finite-size amplitudes. In the case of the two-dimensional Ising model we address the universality with respect to anisotropy. For this purpose we derive the exact free energy of a finite, anisotropic triangular lattice on a cylinder. For the rectangular Ising model we verify universality also with respect to the magnitude of the boundary fields. In mean-field theory we display the mechanism for this universality and for that with respect to the surface coupling enhancement. Numerical results, which are of experimental relevance, are obtained employing a renormalization-group approximation for three-dimensional systems.
Indekeu, J. O., Nightingale, M. P., & Wang, W. V. (1986). Finite-size interaction amplitudes and their universality: Exact, mean-field, and renormalization-group results. Physical Review B, 34(1), 330-342. doi: 10.1103/PhysRevB.34.330
Available at: http://dx.doi.org/10.1103/PhysRevB.34.330