Extended scaling scheme and its application to spin glasses

July 16 2007
Types d’événements
Séminaire SPEC
Koji HUKUSHIMA
SPEC Salle Itzykson, Bât.774
16/07/2007
to 16:00

begin{center}(attention : jour et heure inhabituels / unusual day and hour)end{center} Critical phenomena of continuous phase transition is one of the most sophisticated topics in the field of statistical mechanics. Recently, we proposed an extended scaling scheme [1,2] for critical phenomena of continuous phase transitions. The extended scaling expressions are systematically derived for thermodynamic observables in ferromagnets and in spin glasses. These provide good leading-order critical representations for a wide range of temperature, which is significantly enlarged as compared with the conventional scaling scheme. The expressions should be of practical importance for estimating critical exponents in spin glasses, when the data available from numerical simulation as well as experiments are those at higher temperature than $T_c$ by a few tens percents of it. Using the extended scaling scheme, we obtained a consistent set of critical exponents of the three-dimensional Ising spin glass with bimodal distribution from finite-size scalings for different observables, in contrast to previous studies by the conventional scaling. We also discuss an extension of our scheme to treat the correction terms and its examination for some ferromagnets. par noindent [1] I.A. Campbell, K. Hukushima and H. Takayama, Phys. Rev. Lett. 97, 117202 (2006) par noindent [2] I.A. Campbell, K. Hukushima and H. Takayama, cond-mat/0612665.

University of Tokyo