Origin of Mesoscopic Superconductivity at Cd$_3$As$_2$ Point-Contacts

I will present our point-contact spectroscopy results on the nature and origin of superconductivity that is observed at the mesoscopic interfaces between the conventional metals and the 3-D Dirac semimetal Cd$_3$As$_2$. From our experiments with metallic tips of varying mechanical properties we show that the local superconducting phase does not emerge due to pressure. We show that quantum fluctuations may play a significant role in the emergence of such novel superconducting phase.