Realization of odd-frequency p-wave spin-singlet superconductivity coexisting with antiferromagnetic order near quantum critical point

Y. Fuseya; H. Kohno; K. Miyake

doi:10.1143/JPSJ.72.2914

paper

Realization of odd-frequency p-wave spin-singlet superconductivity coexisting with antiferromagnetic order near quantum critical point

arXiv:cond-mat/0302532 · doi:10.1143/JPSJ.72.2914

Abstract

A possibility of the realization of the p-wave spin-singlet superconductivity ( $p$ SS), whose gap function is odd both in momentum and in frequency, is investigated by solving the gap equation with the phenomenological interaction mediated by the antiferromagnetic spin fluctuation. The $p$ SS is realized prevailing over the d-wave singlet superconductivity ( $d$ SS) in the vicinity of antiferromagnetic quantum critical pint (QCP) both on the paramagnetic and on the antiferromagnetic sides. Off the QCP in the paramagnetic phase, however, the $d$ SS with line-nodes is realized as \textit{conventional} anisotropic superconductivity. For the present $p$ SS state, there is no gap in the quasiparticle spectrum everywhere on the Fermi surface due to its odd frequency. These features can give a qualitative understanding of the anomalous behaviors of NQR relaxation rate on CeCu $_{2}$ Si $_{2}$ or CeRhIn $_{5}$ where the antiferromagnetism and superconductivity coexist on a microscopic level.

20 pages with 12 figures. To appear in J. Phys. Soc. Jpn. Vol. 72, No. 11

Realization of odd-frequency p-wave spin-singlet superconductivity coexisting with antiferromagnetic order near quantum critical point

Abstract

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