Articoli in riviste
|CRITICAL-BEHAVIOR NEAR MULTIPLE JUNCTIONS AND DIRTY SURFACES IN THE 2-DIMENSIONAL ISING-MODEL|
|Igloi F., Turban L., Berche B.|
|Journal of Physics A: Mathematical and General 24 (1991) L1031|
|DOI : 10.1088/0305-4470/24/17/012|
|ArXiv : cond-mat/0106626 [PDF]|
The authors consider m two-dimensional semi-infinite planes of Ising spins joined together through surface spins and study the critical behaviour near to the junction. The m=0 limit of the model-according to the replica trick-corresponds to the semi-infinite Ising model in the presence of a random surface field (RSFI). Using conformal mapping, second-order perturbation expansion around the weak- and strong-coupled planes limits and a differential renormalization group, they show that the surface critical behaviour of the RSFI model is described by Ising critical exponents with logarithmic corrections to scaling, while at multiple junctions (m>2) the transition is of first-order. There is a spontaneous junction magnetization at the bulk critical point.