Investigation of the Critical Properties in the 3D Site-Diluted Potts Model

Akai K. Murtazaev; A.B. Babaev; G.Ya. Aznaurova

doi:10.4028/www.scientific.net/SSP.152-153.571

Paper Titles

Influence of Electron Correlations on Magnetic Properties in Transition Metals in View of Degeneration
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Conditions for the Spin-Spiral State in Itinerant Magnets
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A Fluctuating Field Theory for Systems of Localized Magnetic Moments
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Impurity Assisted Interlayer Exchange Coupling in Iron/Silicon Multilayers
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Investigation of the Critical Properties in the 3D Site-Diluted Potts Model
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Investigation of the 3D ANNNI Model by Monte Carlo Methods
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Temperature Hysteresis in the Dynamic Spin-Fluctuation Theory for Strong Ferromagnets
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Charge and Spin Pairing Instabilities in Hubbard Nanoclusters
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Magnetic and Structural Phase Transitions in Monochalcogenides of Uranium
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HomeSolid State PhenomenaSolid State Phenomena Vols. 152-153Investigation of the Critical Properties in the 3D...

Investigation of the Critical Properties in the 3D Site-Diluted Potts Model

Abstract:

The effect of quenched nonmagnetic impurities on phase transitions in the three-dimensional Potts model with the number of spin states q=3 is studied using the Wolff single-cluster algorithm of the Monte Carlo method. By the method of fourth-order Binder cumulants, it is demonstrated that the second-order phase transition occurs in the model under study at spin concentrations p=0.9, 0.8, 0.7, and 0.65, while the first-order phase transition is observed in the pure model (p=1.0). The static critical exponents (CEs) α (heat capacity), γ (susceptibility), β (magnetization), and ν (correlation length) are calculated based on the finite-size scaling theory.