Universal dependence on disorder of two-dimensional randomly diluted and random-bond ±J Ising models
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 o...
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| Main Authors: | , , , |
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| Format: | Article (Journal) |
| Language: | English |
| Published: |
11 July 2008
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| In: |
Physical review. E, Statistical, nonlinear, and soft matter physics
Year: 2008, Volume: 78, Issue: 1, Pages: 1-13 |
| ISSN: | 1550-2376 |
| DOI: | 10.1103/PhysRevE.78.011110 |
| Online Access: | Verlag, lizenzpflichtig, Volltext: https://doi.org/10.1103/PhysRevE.78.011110 Verlag, lizenzpflichtig, Volltext: https://link.aps.org/doi/10.1103/PhysRevE.78.011110 |
| Author Notes: | Martin Hasenbusch, Francesco Parisen Toldin, Andrea Pelissetto, and Ettore Vicari |
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| 520 | |a 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. | ||
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