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Superconductivity has been first observed in TlNi$_2$Se$_2$ at T$_C$=3.7 Kand appears to involve heavy electrons with an effective mass $m^*$=14$\sim$20$m_b$, as inferred from the normal state electronic specific heat and the uppercritical field, H_${C2}$(T). Although the zero-field electronic specific heatdata, $C_{es}(T)$, in low temperatures (T < 1/4 T$_C$) can be fitted with a gapBCS model, indicating that TlNi$_2$Se$_2$ is a fully gapped superconductor, thetwo-gap BCS model presents the best fit to all the $C_{es}(T)$ data below$T_C$. It is also found that the electronic specific heat coefficient in themixed state, $\gamma_N(H)$, exhibits a \textit{H}$^{1/2}$ behavior, which wasalso observed in some \textit{s}-wave superconductors, although once consideredas a common feature of the \textit{d}-wave superconductors. Anyway, theseresults indicate that TlNi$_2$Se$_2$, as a non-magnetic analogue ofTlFe$_x$Se$_2$ superconductor, is a multiband superconductor of heavy electronsystem.

Multiband Superconductivity of Heavy Electrons in TlNi2Se2 single crystal