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We show that the charge and thermal transport measurements on ultracleancrystals of URu2Si2 reveal a number of unprecedented superconductingproperties. The uniqueness is best highlighted by the peculiar field dependenceof thermal conductivity including the first order transition at Hc2 with areduction of entropy flow. This is a consequence of multi-bandsuperconductivity with compensated electronic structure in the hidden orderstate of this system. We provide strong evidence for a new type ofunconventional superconductivity with two distinct gaps having different nodaltopology.

Exotic Superconducting Properties in the Electron-Hole Compensated Heavy Fermion `Semimetal' URu2Si2