Effect of the Vortices on the Nuclear Spin Relaxation Rate in the Unconventional Pairing States of the Organic Superconductor (TMTSF)${}_2$PF${}_6$

Abstract

This Letter theoretically discusses quasiparticle states and nuclear spin relaxation rates $T_1^{-1}$ in a quasi-one-dimensional superconductor (TMTSF)${}_2$PF${}_6$ under a magnetic field applied parallel to the conduction chains. We study the effects of Josephson-type vortices on $T_1^{-1}$ by solving the Bogoliubov de Gennes equation for $p$-, $d$- or $f$-wave pairing interactions. In the presence of line nodes in pairing functions, $T_1^{-1}$ is proportional to $T$ in sufficiently low temperatures because quasiparticles induced by vortices at the Fermi energy relax spins. We also try to identify the pairing symmetry of (TMTSF)${}_2$PF${}_6$.

4+ pages, 4 figures

References in corpus (2)

• Triplet superconducting pairing and density-wave instabilities in organic conductors
• Quasiparticle structure in antiferromagnetism around the vortex and nuclear magnetic relaxation time

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• Mixing of odd- and even-frequency pairings in strongly correlated electron systems under magnetic field