X-ray- and neutron-scattering measurements of two length scales in the magnetic critical fluctuations of holmium

Abstract

The short-ranged correlations associated with magnetic ordering in the rare-earth antiferromagnet holmium have been characterized in high-resolution x-ray- and neutron-scattering studies. For temperatures within about 2 K above ${\mathit{T}}_{\mathit{N}}$, the short-ranged magnetic fluctuations exhibit two length scales, instead of the single one expected in an ideal system. Well above ${\mathit{T}}_{\mathit{N}}$, the shorter of the two length scales exhibits power-law behavior consistent with normal critical fluctuations; the line shape in momentum space is well described by a Lorentzian, and the measured critical exponents are \ensuremath{\nu}=0.54\ifmmode\pm\else\textpm\fi{}0.04 and \ensuremath{\gamma}=1.24\ifmmode\pm\else\textpm\fi{}0.15. The longer of the two length scales is well described by a squared-Lorentzian line shape, and exhibits a power-law temperature dependence. Both the shorter and the longer length-scale fluctuations are approximately spatially isotropic. We propose that the longer length-scale fluctuations are related to random strain fields which are localized at or near the sample surfae. These results are reminiscent of behavior observed at the cubic-to-tetragonal structural phase transitions of some perovskite materials.