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The electronic structures of element cerium under high pressure remainunclear all the time. We tried to calculate the electronic structures of$\alpha'$, $\alpha"$, and $\epsilon$-Ce which only exist in the presence ofpressure, by using the combination of traditional density functional theory andsingle-site dynamical mean-field theory. The momentum-resolved band structures,total and partial density of states, 4$f$ electronic configurations of thesephases were exhaustively studied. We found that the 4$f$ electrons tend to beitinerant, and the hybridizations between the 4$f$ and $spd$ conductionelectrons are remarkable. In addition, the fluctuations among the 4$f$ atomiceigenstates are prominent, especially for the $\epsilon$ phase, which leads toa slight modification of its 4$f$ occupancy.

Electronic correlations of element cerium under high pressure