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It is shown that unconventional nature of superconducting state ofPrOs_4Sb_12, a Pr-based heavy electron compound with the filled-Skutteruditestructure, can be explained in a unified way by taking into account thestructure of the crystalline-electric-field (CEF) level, the shape of the Fermisurface determined by the band structure calculation, and a picture of thequasiparticles in f$^{2}$-configuration with magnetically singlet CEF groundstate. Possible types of pairing are narrowed down by consulting recentexperimental results. In particular, the chiral "p"-wave states such asp_x+ip_y is favoured under the magnetic field due to the orbital Zeeman effect,while the "p"-wave states with two-fold symmetery such as p_x can be stabilizedby a feedback effect without the magnetic field. It is also discussed that thedouble superconducting transition without the magnetic field is possible due tothe spin-orbit coupling of the "triplet" Cooper pairs in the chiral state.Comment: 12 pages, 2 figures, submitted to J. Phys.: Condens. Matter Lette

Theory of a new type of heavy-electron superconductivity in PrOs4Sb12: quadrupolar-fluctuation mediated odd-parity pairings

Theory of a new type of heavy-electron superconductivity in PrOs₄Sb₁₂: quadrupolar-fluctuation mediated odd-parity pairings