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The possibility of multiple phase diagram in the novel superconductorNa_{x}CoO_{2}yH_{2}O is analyzed on the basis of the multi-orbital Hubbardmodel including the atomic spin-orbit coupling. We have shown that the spintriplet pairing state is stable in this model. The p-wave (f-wave) state isstabilized when the Hund's rule coupling is large (small). In the precedentpaper, we have determined the direction of d-vector at T=Tc and H=0 within thelinearized Dyson-Gorkov equation. In this paper, the pairing state below Tc andunder the magnetic field is determined within the weak coupling approximationincluding the paramagnetic effect. We find that the p+f coexistent state isstabilized at low temperatures in a part of parameter range. We point out thatthe phase diagram in the H-T plane is quite different between the p-wave,f-wave and p+f-wave superconductivities. The characteristics of each phase areclarified by showing the magnetic susceptibility and specific heat. We discussthe comparison with experimental results and suggest some future experiments todetect the multiple phase transition.Comment: 14 pages, 15 figure

journal of the physical society of japan

Role of Spin–Orbit Coupling on the Spin Triplet Pairing in NaxCoO2·yH2O II: Multiple Phase Diagram under the Magnetic Field