We report on how nanocrystal size affects the critical behavior of the rare-earth metal Gd near the ferromagnetic-to-paramagnetic phase transition. The asymptotic critical behavior of the coarse-grained polycrystalline sample (with an average crystallite size of L≅\unit[100]μm) is that of a (pure) \textsl{uniaxial dipolar} ferromagnet, as is the case with single-crystal Gd, albeit the width of the asymptotic critical region (ACR) is reduced. As the grain size approaches ∼\unit[30]nm, the ACR is so narrow that it could not be accessed in the present experiments. Inaccessibly narrow ACR for L∼\unit[30]nm and the continuous increase in the width of ACR as L decreases from \unit[16]nm to \unit[9.5]nm basically reflects a crossover to the \textsl{random uniaxial dipolar} fixed point caused by the quenched random-exchange disorder prevalent at the internal interfaces (grain boundaries).
@article{arxiv.1307.5183,
title = {Critical behavior of nanocrystalline gadolinium: Evidence for a new universality class},
author = {A. Ferdinand and A. -C. Probst and A. Michels and R. Birringer and S. N. Kaul},
journal= {arXiv preprint arXiv:1307.5183},
year = {2014}
}