Multiband superconductivity and charge density waves in the Ni-doped topological semimetal ZrTe$_2$

We carried out a comprehensive study of the electronic, magnetic, and thermodynamic properties of Ni-doped ZrTe$_2$. High quality Ni$_{0.04}$ZrTe$_{1.89}$ single crystals show a possible coexistence of charge density waves (CDW, T$_{CDW}approx287$,K) with superconductivity (T$_capprox 4.1$,K), which we report here for the first time. The temperature dependence of the lower (H$_{c_1}$) and upper (H$_{c_2}$) critical magnetic fields both deviate significantly from the behaviors expected in conventional single-gap s-wave superconductors. However, the behaviors of the normalized superfluid density $rho_s(T)$ and H$_{c_2}(T)$ can be described well using a two-gap model for the Fermi surface, in a manner consistent with conventional multiband superconductivity. Electrical resistivity and specific heat measurements show clear anomalies centered near 287,K suggestive of CDW phase transition. Additionally, electronic-structure calculations support the coexistence of electron-phonon multiband superconductivity and CDW order due to the compensated disconnected nature of the electron- and hole-pockets at the Fermi surface. Our calculations also suggest that ZrTe$_2$ is a non-trivial topological type-II Dirac semimetal. These findings highlight that Ni-doped ZrTe2 is uniquely important for probing the coexistence of superconducting and CDW ground states in an electronic system with non-trivial topology.