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The effects of copper doping on the structural and superconducting phasetransitions of Ba(Ni$_{1-x}$Cu$_{x}$)$_{2}$As$_{2}$ were studied by examiningthe resistivity, magnetic susceptibility, and specific heat. We found an abruptincrease in the superconducting transition temperature $T_{\rm c}$ from 0.6 Kin the triclinic phase with less copper ($x$ $\leq$ 0.16) to 2.5-3.2 K in thetetragonal phase with more copper ($x$ $>$ 0.16). The specific-heat datasuggested that doping-induced phonon softening was responsible for the enhancedsuperconductivity in the tetragonal phase. All of these observations exhibitedstriking similarities to those observed in the phosphorus doping ofBaNi$_{2}$(As$_{1-x}$P$_{x}$)$_{2}$ [K. Kudo et al., Phys. Rev. Lett. 109,097002 (2012).], which markedly contrast the behavior of phosphorus and copperdoping of the iron-based superconductor BaFe$_{2}$As$_{2}$.

Copper Doping of BaNi$_{2}$As$_{2}$: Giant Phonon Softening and Superconductivity Enhancement