The four-dimensional site-diluted Ising model: A finite-size scaling study |
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| Affiliation: | 1. Dipartamento de Física Teórica I, Facultad de CC. Fisicas, Universidad Complutense de Madrid, 28040 Madrid, Spain;2. Dipartimento di Fisica and Istituto Nazionale di Fisica Nucleare, Università di Roma “La Sapienza”, P.A. Moro 2, 00185 Rome, Italy;1. Laboratory of Materials, Processes, Environment and Quality, Cady Ayyed University, National School of Applied Sciences, PB 63, 46000 Safi, Morocco;2. Laboratoire de Magnétisme et Physique des Hautes Energies LMPHE-URAC 12, Université Mohammed V, Faculté des Sciences, B.P. 1014, Rabat, Morocco;3. Institute of Nanomaterials and Nanotechnologies, MAScIR, Rabat, Morocco;4. Hassan II Academy of Science and Technology, Rabat, Morocco |
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| Abstract: | Using finite-size scaling techniques, we study the critical properties of the site-diluted Ising model in four dimensions. We carry out a high-statistics Monte Carlo simulation for several values of the dilution. The results support the perturbative scenario: there is only the Ising fixed point with large logarithmic scaling corrections. We obtain, using the Perturbative Renormalization Group, functional forms for the scaling of several observables that are in agreement with the numerical data. |
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