Unconventional full-gap superconductivity in Kondo lattice with semi-metallic conduction bands

Abstract

A mechanism of superconductivity is proposed for the Kondo lattice which has semi-metallic conduction bands with electron and hole Fermi surfaces. At high temperatures, the $f$ electron's localized spins/pseudospins are fluctuating between electron and hole Fermi surfaces to seek for a partner to couple with. This system tries to resolve this frustration at low temperatures and chooses to construct a quantum mechanically entangled state composed of the Kondo singlet with electron surface and that with hole surface, to break the U(1) gauge symmetry. The corresponding order parameter is given by a composite pairing amplitude as a three-body bound states of localized spin/pseudospin, electron and hole. The electromagnetic response is considered, where composite pair itself does not contribute to the Meissner effect, but the induced pair between conduction electrons, which inevitably mixes due to e.g. a band cutoff effect at high energies, carries the superconducting current under the external field. Possible applications to real heavy-electron materials are also discussed.

arXiv comment11 pages, 3 figures

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Cited by in corpus (7)

• Odd-frequency pairing inherent in Bogoliubov Fermi liquid
• Multipole representation for anisotropic Coulomb interactions
• Superconducting Correlations in the One-Dimensional Kondo Lattice Models under Magnetic Fields
• Vortex bound state of Kondo lattice coupled to compensated metal
• $\eta$-pairing on bipartite and non-bipartite lattices
• Field-induced anomaly in the anisotropic non-Fermi-liquid normal state of UBe${}_{13}$
• Odd-frequency pairing of Bogoliubov quasiparticles in superconductor junction