The Search for Quantum Criticality in the URu$_{2-x}$Re$_{x}$Si$_{2}$ Phase Diagram*

It has been established that as Re is doped into polycrystalline URu$_{2}$Si$_{2}$, the hidden order/antiferromagnetic and superconducting phases are suppressed, while at intermediate doping, long range ferromagnetism emerges. To further investigate observations of the persistence of non-Fermi liquid behavior well into the ferromagnetic phase, we have prepared single crystals of URu$_{2-x}$Re$_{x}$Si$_{2}$ in the Re concentration range of $0 \leq x \leq 0.6$ and performed magnetization, electrical and thermal transport, and calorimetry measurements at low temperatures down to $0.1$~K.