Gap structure in noncentrosymmetric superconductors

Abstract

Gap structure in noncentrosymmetric superconductors with spin-orbit band splitting is studied using a microscopic model of pairing mediated by phonons and/or spin fluctuations. The general form of pairing interaction in the band representation is derived, which includes both the intraband and interband pairing terms. In the case of isotropic interaction (in particular, for a BCS-contact interaction), the interband pairing terms vanish identically at any magnitude of the band splitting. The effects of pairing interaction anisotropy are analyzed in detail for a metal of cubic symmetry with strong spin-orbit coupling. It is shown that if phonons are dominant then the gaps in two bands are isotropic, nodeless, and have in general different amplitudes. Applications to the Li_2(Pd_{1-x},Pt_x)_3B family of noncentrosymmetric superconductors are discussed.

9 pages; minor corrections, published version

References in corpus (17)

• Heavy fermion superconductivity and magnetic order in non-centrosymmetric $CeP{t}_{3}Si$
• Superconducting 2D system with lifted spin degeneracy: Mixed singlet-triplet state
• Superconductivty without inversion symmetry: MnSi versus CePt_3Si
• S-wave/spin-triplet order in superconductors without inversion symmetry: Li${}_2$Pd${}_3$B and Li${}_2$Pt${}_3$B
• Superconductivity in metal rich Li-Pd-B ternary Boride
• Spin Triplet Superconducting State due to Broken Inversion Symmetry in Li_2Pt_3B
• CePt3Si: an unconventional superconductor without inversion center
• Magnetic properties of superconductors with strong spin-orbit coupling
• Order parameter in superconductors with non-degenerate bands
• Crystal Symmetry, Electron-Phonon Coupling, and Superconducting Tendencies in Li${}_2$Pd${}_3$B and Li${}_2$Pt${}_3$B
• Crystal growth, structural studies and superconducting properties of beta-pyrochlore KOs2O6
• On the spin susceptibility of noncentrosymmetric superconductors
• Superconductivity in ferromagnetic metals and in compounds without inversion centre
• Effects of impurities on superconductivity in noncentrosymmetric compounds
• On the low temperature properties and specific anisotropy of pure anisotropically paired superconductors
• Electronic structure, electron-phonon coupling and superconductivity of isotypic noncentrosymmetric crystals Li${}_2$Pd${}_3$B and Li${}_2$Pt${}_3$B
• Density of States and NMR Relaxation Rate in Anisotropic Superconductivity with Intersecting Line Nodes

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