Unconventional Magnetic Scaling Exponents near a $T=0$ Transition in URu$_{2-x}$Re$_{x}$Si$_{2}$

Substituting Re for Ru in the heavy fermion compound URu$_{2}$Si$_{2}$ suppresses the hidden order and superconducting transitions and gives rise to long range ferromagnetism. From electrical transport, specific heat, and magnetic susceptibility studies of single crystals of URu$_{2-x}$Re$_{x}$Si$_{2}$, $0 \leq x \leq 0.6$, it is apparent that the non-Fermi liquid behavior first observed in polycrystalline samples is indeed a robust phenomenon intrinsic to the bulk material. We present a recent investigation of the magnetization of URu$_{2-x}$Re$_{x}$Si$_{2}$ single crystals, wherein it is demonstrated that a scaled Arrott analysis can be performed to extract scaling exponents describing the magnetic transition from well into the ferromagnetic phase down to its onset. The variation of the exponents with $x$ is discussed within the context of the observed non-Fermi liquid behavior.