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Electrical resistivity, magnetic susceptibility, and specific heatmeasurements on single crystals of La$Tr_2$Al$_{20}$ with $Tr$ = Mo and Wrevealed that these compounds exhibit superconductivity with transitiontemperatures $T_c$ = 3.22 and 1.81 K, respectively, achieving the highestvalues in the reported La$Tr_2$Al$_{20}$ compounds. There appears a positivecorrelation between $T_c$ and the electronic specific heat coefficient, whichincreases with increasing the number of $4d$- and $5d$-electrons. This findingindicates that filling of the upper $e_g$ orbitals in the $4d$ and $5d$ bandsplays an essential role for the significant enhancement of the superconductingcondensation energy. Possible roles played by the $d$ electrons in the stronglycorrelated electron phenomena appearing in $RTr_{2}$Al$_{20}$ are discussed.

Superconductivity enhanced by $d$-band filling in La$Tr_2$Al$_{20}$ with $Tr$ = Mo and W