Critical exponents of the Ising model in three dimensions with long-range power-law correlated site disorder: A Monte Carlo study

Article

关键词: TEMPERATURE SERIES ANALYSIS;    HIGH-MAGNETIC CONCENTRATION;    CRITICAL-BEHAVIOR;    SYSTEMS;    PERCOLATION;    SCATTERING;    CROSSOVER;    DEFECTS;    POINT;    HEAT;   

DOI  :  10.1103/PhysRevB.105.214111

来源: SCIE

【 摘 要 】

The critical behavior of the Ising model in three dimensions on a lattice with site disorder is studied by applying Monte Carlo simulation techniques. Two cases for the site disorder are considered: uncorrelated disorder and long-range correlated disorder with a spatial correlation function that decays according to a power law r(-a). The critical exponents beta and gamma as well as updated results for the critical exponent nu and confluent correction exponent omega are provided for a variety of different correlation exponents a and disorder concentrations p(d). The estimation is done by using finite-size scaling analyses and a global fit procedure which combines the results obtained for different concentrations of defects. From the estimated critical exponents, the validity of hyperscaling relations is studied and finally the critical temperatures are provided for different a and p(d).

【 授权许可】

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