Renormalization Group Technique Applied to the Pairing Interaction of the Quasi-One-Dimensional Superconductivity

TL;DR

This paper uses renormalization group techniques to analyze the pairing interactions in quasi-one-dimensional superconductors, predicting higher transition temperatures for p-wave triplet pairing and explaining properties of specific organic and ladder compounds.

Contribution

It applies renormalization group methods to the pairing interaction in q1d superconductors, providing insights into their transition temperatures and gap functions.

Findings

p-wave triplet pairing has higher Tc than d-wave singlet pairing

Results qualitatively explain superconductivity in (TMTSF)2PF6 and Sr2Ca12Cu24O41

Renormalized pairing interaction supports observed properties

Abstract

A mechanism of the quasi-one-dimensional (q1d) superconductivity is investigated by applying the renormalization group techniques to the pairing interaction. With the obtained renormalized pairing interaction, the transition temperature Tc and corresponding gap function are calculated by solving the linearized gap equation. For reasonable sets of parameters, Tc of p-wave triplet pairing is higher than that of d-wave singlet pairing due to the one-dimensionality of interaction. These results can qualitatively explain the superconducting properties of q1d organic conductor (TMTSF)2PF6 and the ladder compound Sr2Ca12Cu24O41.