Critical scaling near and far from Tc ; from ferromagnets to heavy fermions

2014 We show that the assumptions of critical scaling imply essential singularities in the limit where Tc = 0 and power laws of the temperature for Tc 0 which are appropriate to describe realistic physical situations such as e.g. heavy fermions. We discuss also the effects of a dimensional cross-over as well as that of dilution and disorder. J. Phys. France 49 (1988) 1211-1217 JUILLET 1988, Classification Physics Abstracts 75.40 75.40D 75.10 75.10H The two assumptions of static scaling. We write the Gibbs potential of N interacting particles of moment g as that of n independent particles of moment 4eff : By definition the coherence length03BE is the size of these particles and n ’" g d in dimension d. We assume similarly that 03BCeff 03BEd Then from which we obtain