Effects of Rhenium doping on the high magnetic field versus temperature phase diagram of URu$_{2}$Si$_{2}$

Rhenium doping of URu$_{2}$Si$_{2}$ yields a heavy fermion compound U(Ru$_{1-x}$Re$_{x})_{2}$Si$_{2}$ in which the Hidden Order (T$_{N}$ = 17 K) is suppressed at x = 0.05 and ferromagnetism and non Fermi liquid behavior coexist below 10 K from x = 0.15. In the present study, low temperature and high magnetic field resistivity and magnetization measurements are carried out in U(Ru$_{1-x}$Re$_{x})_{2}$Si$_{2}$ single-crystal samples up to x = 0.15 in order to investigate the effects of rhenium doping on the robustness of the multiple ordered phases previously identified in URu$_{2}$Si$_{2}$ around the putative quantum critical point (QCP) at 37 $\pm $ 1 T and the properties of the underlying metamagnetic Fermi liquid as the ferromagnetic region is approached. It is shown that the dilute substitution of Re in place of Ru in URu$_{2}$Si$_{2}$ yields a complete suppression of the ordering at the QCP at x = 0.04 and postpones to higher field the metamagnetic transition in agreement with an increased hybridization of the f electrons with the conduction electrons.