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Article Dans Une Revue Physical Review Letters Année : 2009

Exact solution of the anisotropic special transition in the O(n) model in 2D

Résumé

The effect of surface exchange anisotropies is known to play a 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 by using 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.
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Dates et versions

hal-00416796 , version 1 (15-09-2009)

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Jerome Dubail, Hubert Saleur, Jesper Lykke Jacobsen. Exact solution of the anisotropic special transition in the O(n) model in 2D. Physical Review Letters, 2009, 103 (14), pp.145701. ⟨10.1103/PhysRevLett.103.145701⟩. ⟨hal-00416796⟩
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