Magnetic field effect and superconductivity in multipolar order

Exotic multipolar degrees of freedom have been issued in many context of heavy fermions and other correlated systems. Despite their existence, however, detection of such multipolar ordering still remains controversy. Furthermore, there are few studies on interesting correlation phenomena due to multipolar Kondo effect. In this talk, focusing on Pr based cage compounds, we first discuss the magnetic field effect of multipolar order and suggest unique way to probe multipolar order based on magnetostriction experiment. Then, we also explore multipolar Kondo effect in Pr based semimetals and study realization of topological superconductivity controlled via multipolar degrees of freedom.