Theory of anisotropic s-wave superconductivity with point-node-like gap minima: Analysis of (Y,Lu)Ni2B2C

Abstract

Recent intensive experimental studies revealed that (Y,Lu)Ni2B2C is an extremely anisotropic s-wave superconductor. In addition, its gap function possesses deep point minima, whose ratio of the gap anisotropy is more than 10. On the theoretical side, however, it is nontrivial to understand the origin of such a peculiar superconductivity. In the present paper, we propose a mechanism of the s-wave superconductivity with deep gap minima, based on the theoretical model where strong electron-phonon coupling as well as the moderate magnetic fluctuations coexist. By analyzing the strong coupling Eliashberg equation, we find that s-wave superconducting gap function owing to the electron-phonon coupling becomes highly anisotropic as the magnetic fluctuations increase. The set of model parameters for realizing the strong gap anisotropy in the present model will be appropriate for (Y,Lu)Ni2B2C. According to the present mechanism, (groups of) pairs of gap minima appear at points on the Fermi surface which are connected by the nesting vector Q, in both cases of s-wave superconductors and non-s-wave ones. We briefly discuss other superconductors with highly anisotropic gap function, e.g., PrOs4Sb12 and Na0.33CoO2.

Source-reported materials — not catalogue approval

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