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We have performed an experimental study on the temperature dependence ofelectrical resistivity $\rho$($T$) and heat capacity $C$($T$) of theMo$_{1-x}$Re$_x$ $(x = 0.20, 0.25)$ alloy superconductors in different magneticfields. In the presence of applied magnetic field, the electrical resistivityof these alloys go to zero at a temperature well above the bulk superconductingtransition temperature obtained with the help of heat capacity measurements inthe same magnetic field. Our study indicates the presence of surfacesuperconducting state in these alloys, where the flux lines are pinned in thesurface sheath of the superconductor. The configuration of the flux-lines (2dpancake-like) in the surface sheath is understood in the realm of the flux-spotmodel. Experimental evidence in support of the surface mixed-state state or"Kulik vortex-state" and the occurrence of a vortex-liquid to vortex-glasstransition is presented.

Vortex-glass transformation within the surface superconducting state of $\beta$-phase Mo$_{1-x}$Re$_x$ alloys