Articles dans des revues à comité de lecture
|Exact Solution of the Anisotropic Special Transition in the O(n) Model in Two Dimensions|
|Dubail J., Jacobsen J.L., Saleur H.|
|PHYSICAL REVIEW LETTERS 103 (2009) 145701|
|DOI : 10.1103/PhysRevLett.103.145701|
The effect of surface exchange anisotropies is known to play an important role in magnetic critical and multicritical behavior at surfaces. We give an exact analysis of this problem in d=2 for the O(n) model using the Coulomb gas, conformal invariance, and integrability techniques. We obtain the full set of critical exponents at the anisotropic special transition-where the symmetry on the boundary is broken down to O(n(1))xO(n-n(1))-as a function of n(1). We also obtain the full phase diagram and crossover exponents. Crucial in this analysis is a new solution of the boundary Yang-Baxter equations for loop models. The appearance of the generalization of Schramm-Loewner evolution SLE(kappa,rho) is also discussed.