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Niobium-zirconium (Nb-Zr) alloy is an old superconductor that is a promisingnew candidate for superconducting radio-frequency (SRF) cavity applications.Using density-functional and Eliashberg theories, we show that addition of Zrto a Nb surface in small concentrations increases the critical temperature$T_c$ and improves other superconducting properties. Furthermore, we calculate$T_c$ for Nb-Zr alloys across a broad range of Zr concentrations, showing goodagreement with the literature for disordered alloys as well as the potentialfor significantly higher $T_c$ in ordered alloys near 75%Nb/25%Zr composition.We provide experimental verification on Nb-Zr alloy samples and SRF sample testcavities prepared with either physical vapor or our novel electrochemicaldeposition recipes. These samples have the highest measured $T_c$ of any Nb-Zrsuperconductor to date and indicate a reduction in BCS resistance compared tothe conventional Nb reference sample; they represent the first steps along anew pathway to greatly enhanced SRF performance. Finally, we useGinzburg-Landau theory to show that the addition of Zr to a Nb surfaceincreases the superheating field $B_{sh}$, a key figure of merit for SRF whichdetermines the maximum accelerating gradient at which cavities can operate.

Theory of Nb-Zr Alloy Superconductivity and First Experimental Demonstration for Superconducting Radio-Frequency Cavity Applications