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We discuss general implications of the local spin-triplet pairing amongfermions induced by local ferromagnetic exchange, example of which is theHund's rule coupling. The quasiparticle energy and their wave function aredetermined for the three principal phases with the gap, which is momentumindependent. We utilize the Bogolyubov-Nambu-De Gennes approach, which in thecase of triplet pairing in the two-band case leads to the four-components wavefunction. Both gapless modes and those with an isotropic gap appear in thequasiparticle spectrum. A striking analogy with the Dirac equation is brieflyexplored. This type of pairing is relevant to relativistic fermions as well,since it reflects the fundamental discrete symmetry-particle interchange. Acomparison with the local interband spin-singlet pairing is also made.Comment: 16 pages, LaTex, submitted to Phys. Rev.

Spin-triplet superconducting pairing due to local Hund’s rule and Dirac exchange