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

Mitsuaki Takigawa·Masanori Ichioka·Kazuhiko Kuroki·Yasuhiro Asano·Yukio Tanaka
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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$_6$.

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Mitsuaki Takigawa, Masanori Ichioka, Kazuhiko Kuroki, Yasuhiro Asano, Yukio Tanaka. 2006-11-06. Effect of the Vortices on the Nuclear Spin Relaxation Rate in the Unconventional Pairing States of the Organic Superconductor (TMTSF)$_2$PF$_6$. https://doi.org/10.1103/physrevlett.97.187002

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