Universal dependence on disorder of two-dimensional randomly diluted and random-bond +/- J Ising models

作者：Hasenbusch Martin^*; Toldin Francesco Parisen; Pelissetto Andrea; Vicari Ettore

来源：Physical Review E, 2008, 78(1): 011110.

DOI：10.1103/PhysRevE.78.011110

We consider the two-dimensional randomly site diluted Ising model and the random-bond +/- J Ising model (also called the Edwards-Anderson model), and study their critical behavior at the paramagnetic-ferromagnetic transition. The critical behavior of thermodynamic quantities can be derived from a set of renormalization-group equations, in which disorder is a marginally irrelevant perturbation at the two-dimensional Ising fixed point. We discuss their solutions, focusing in particular on the universality of the logarithmic corrections arising from the presence of disorder. Then, we present a finite-size scaling analysis of high-statistics Monte Carlo simulations. The numerical results confirm the renormalization-group predictions, and in particular the universality of the logarithmic corrections to the Ising behavior due to quenched dilution.

• 出版日期2008-7
• 单位中国科学院金属研究所