Critical behavior of the two-dimensional Ising model with long-range correlated disorder

Article

关键词: REPLICA-SYMMETRY-BREAKING;    RENORMALIZATION-GROUP THEORY;    CUBIC ANISOTROPIC CRYSTALS;    N-COMPONENT SYSTEMS;    PHASE-TRANSITION;    CRITICAL EXPONENTS;    QUENCHED DISORDER;    CRITICAL-DYNAMICS;    EXTENDED DEFECTS;    IMPURITY BONDS;   

DOI  :  10.1103/PhysRevB.93.224422

来源: SCIE

【 摘 要 】

We study critical behavior of the diluted two-dimensional Ising model in the presence of disorder correlations which decay algebraically with distance as similar to r(-a). Mapping the problem onto two-dimensional Dirac fermions with correlated disorder we calculate the critical properties using renormalization group up to two-loop order. We show that beside the Gaussian fixed point the flow equations have a nontrivial fixed point which is stable for 0.995 < a < 2 and is characterized by the correlation length exponent nu = 2/a + O((2 -a)(3)). Using bosonization, we also calculate the averaged square of the spin-spin correlation function and find the corresponding critical exponent eta(2) = 1/2 - (2 - a)/4 + O((2 - a)(2)).

【 授权许可】

Free