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By using a relativistic linear augmented-plane-wave method, we clarify energyband structures and Fermi surfaces of recently discovered plutonium-basedsuperconductor PuCoGa$_5$. We find several cylindrical sheets of Fermi surfaceswith large volume, very similar to CeMIn$_5$ (M=Ir and Co) isostructural withPuCoGa$_5$, in spite of different $f$-electron numbers between Ce$^{3+}$ andPu$^{3+}$ ions. The similarity is understood by a concept of electron-holeconversion in a tight binding model constructed based on the $j$-$j$ couplingscheme. Based on the present results, we provide a possible scenario to explainwhy a transition temperature is so high as 18.5K in PuCoGa$_5$.Comment: 4 pages, Revtex, with 4 figures embedded in the text. Submitted to  Phys. Rev. Let

physical review letters

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Electronic Structure and the Fermi Surface ofPuCoGa5and