An Extended Scaling Scheme for Critically Divergent Quantities in Ferromagnets and Spin Glasses

Details An Extended Scaling Scheme for Critically Divergent Quantities in Ferromagnets and Spin Glasses An Extended Scaling Scheme for Critically Divergent Quantities in Ferromagnets and Spin Glasses

2006-03-17

arxiv.org/abs/cond-mat/0603453v3

Phys. Rev. Lett. 97, 117202 (2006)

Physics

Condensed Matter

Statistical Mechanics

4+epsilon pages, 6 figures. Published version

Scientific paper

10.1103/PhysRevLett.97.117202

From a consideration of high temperature series expansions in ferromagnets and in spin glasses, we propose an extended scaling scaling scheme involving a set of scaling formulae which express to leading order the temperature (T) and the system size (L) dependences of thermodynamic observables over a much wider range of T than the corresponding one in the conventional scaling scheme. The extended scaling, illustrated by data on the canonical 2d ferromagnet and on the 3d binomial Ising spin glass, leads to consistency for the estimates of critical parameters obtained from scaling analyses for different observables.

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