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The three-dimensional (3D) electronic structure of the hidden order compoundURu$_2$Si$_2$ in a paramagnetic phase was revealed using a 3D angle-resolvedphotoelectron spectroscopy where the electronic structure of the entireBrillouin zone is obtained by scanning both incident photon energy anddetection angles of photoelectrons. The quasi-particle bands with enhancedcontribution from the $\mathrm{U}~5f$ state were observed near $E_\mathrm{F}$,formed by the hybridization with the $\mathrm{Ru}~4d$ states. The energydispersion of the quasi-particle band is significantly depend on $k_z$,indicating that they inherently have a 3D nature. The band-structurecalculation qualitatively explain the characteristic features of the bandstructure and Fermi surface although the electron correlation effect stronglyrenormalizes the quasi-particle bands. The 3D and strongly-correlated nature ofthe quasi-particle bands in URu$_2$Si$_2$ is an essential ingredient formodeling its hidden-order transition.

Electronic structure of URu$_2$Si$_2$ in paramagnetic phase: Three-dimensional angle resolved photoelectron spectroscopy study