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- W2009293144 abstract "We report extensive Monte Carlo simulations of disordered Ising systems in the ferromagnetic region with concentrations of magnetic sites between p=1.0 and 0.5. The magnetization, the susceptibility, and the caloric properties have been studied in the critical region. The critical exponents ensuremath{beta} and ensuremath{gamma} as well as the universal amplitude A of the magnetization and the ratio ${mathit{C}}_{+}$/${mathit{C}}_{mathrm{ensuremath{-}}}$ of the susceptibility amplitudes have been determined with high precision. In addition to the cusplike specific heat, we have also measured the magnetization-energy correlation function ensuremath{Gamma}, which is a divergent thermal quantity. The corresponding critical exponent ensuremath{zeta}, which is related to the other exponents by ensuremath{zeta}=1-ensuremath{beta}=(ensuremath{alpha}+ensuremath{gamma})/2, has been determined. We have found that all quantities show power-law behavior within the temperature range of our simulation. All critical exponents change continuously with dilution. Even in the range of weak dilution (pensuremath{ge}0.8), the effective critical exponents are concentration dependent and are clearly different from their pure system values. In the strongly diluted regime the critical exponents gradually reach new asymptotic behavior at p=0.5--0.6 with values of ensuremath{beta}=0.335ifmmodepmelsetextpmfi{}0.01 and ensuremath{gamma}=1.49ifmmodepmelsetextpmfi{}0.02. The exponent ensuremath{alpha} of the specific heat becomes -0.17ifmmodepmelsetextpmfi{}0.04, which corresponds to a cusplike singularity. We conclude that disorder profoundly changes the critical behavior for weakly as well as strongly disordered spin systems." @default.
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- W2009293144 title "Monte Carlo simulation of strongly disordered Ising ferromagnets" @default.
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- W2009293144 doi "https://doi.org/10.1103/physrevb.42.6476" @default.
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