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We have studied Josephson junctions with barriers prepared from the Heuslercompound Cu$_2$MnAl. In the as-prepared state the Cu$_2$MnAl layers are nonferromagnetic and the critical Josephson current density $j_{c}$ decreasesexponentially with the thickness of the Heusler layers $d_{F}$. On annealingthe junctions at 240\degree C the Heusler layers develop ferromagnetic orderand we observe a dependence $j_{c}(d_{F}$) with $j_{c}$ strongly enhanced andweakly thickness dependent in the thickness range 7.0 nm < $d_{F}$ < 10.6 nm.We attribute this feature to a triplet component in the superconducting pairingfunction generated by the specific magnetization profile inside thin Cu$_2$MnAllayers.

Evidence for triplet superconductivity in Josephson junctions with ferromagnetic Cu$_{2}$MnAl-Heusler barriers