Topological (or singularity point) defects are thought to play a crucial role in the phase transitions of 3D spin systems, as they do in such 2D systems as the $XY$ model. In double-exchange ferromagnets the conduction electrons are strongly coupled with core spins through Hund’s rule, and, in the presence of a nontrivial spin texture, acquire a Berry phase contribution to the anomalous Hall effect. We combine Hall effect and magnetization data on ${\mathrm{C}\mathrm{r}\mathrm{O}}_2$ with a thermodynamical scaling hypothesis to confirm that the critical behavior of the topological-spin-defect density is consistent with that of the heat capacity. This analysis is the first experimental confirmation of the topological character of critical fluctuations.

• Received 10 April 2002

DOI:https://doi.org/10.1103/PhysRevLett.89.187201