EXTENDED SCALING SCHEME FOR CRITICALLY DIVERGENT QUANTITIES AND CRITICAL EXPONENTS OF AN ISING SPIN GLASS

K. Hukushima (), I. A. Campbell and H. Takayama
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K. Hukushima: Department of Basic Science, Graduate School of Arts and Sciences, University of Tokyo, 3-8-1 Komaba, Meguro-ku, Tokyo 153-8902, Japan
I. A. Campbell: Laboratoire des Colloïdes, Verres et Nanomatériaux, Université Montpellier II, 34095 Montpellier, France
H. Takayama: Institute for Solid State Physics, University of Tokyo, Kashiwa-no-ha 5-1-5, Kashiwa, 277-8581, Japan

International Journal of Modern Physics C (IJMPC), 2009, vol. 20, issue 09, 1313-1323

Abstract: A long-standing issue in a three-dimensional Ising spin glass (3DISG) is to settle the critical exponents. Numerical simulations and a conventional finite-size-scaling analysis have given controversial estimates, in particular, for the value of thermal exponent ν. Here a recently proposed extended scaling scheme is reviewed and illustrated for the canonical two-dimensional Ising ferromagnet. By applying the extended scaling to our extensive Monte Carlo data for 3DISG, consistent estimates of critical parameters are obtained in contrast to previous analyses.

Keywords: Critical phenomena; phase transition; critical exponent; scaling; spin glass; 75.50.Lk; 75.40.Mg; 05.50.+q (search for similar items in EconPapers)
Date: 2009
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DOI: 10.1142/S0129183109014382

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