Superconducting instability in 3 band metallic nanotubes

TL;DR

This paper investigates the potential for superconducting instabilities in small radius (5,0) nanotubes with three bands at the Fermi level, using advanced theoretical methods within the Luttinger Liquid framework.

Contribution

It introduces a detailed analysis of superconducting instabilities in three-band nanotubes using fermionic renormalization group and bosonization techniques.

Findings

Identification of a specific superconducting instability in three-band nanotubes.

Analysis of attractive phonon-mediated interactions within the Luttinger Liquid framework.

Theoretical prediction of conditions favoring superconductivity in (5,0) nanotubes.

Abstract

Motivated by recent experiments on small radius nanotubes, we study the superconducting instabilities of cylindrical (5,0) nanotubes. According to band structure calculations, thesenanotubes possess three bands at the Fermi energy. Using a fermionic renormalization group approach and a careful bosonization treatment,we consider the effect of different attractive interactions, mediated by phonons, within the Luttinger Liquid framework. We particularly focus on a superconducting instability specific to the three bands model we consider for the description of these (5,0) cylindrical nanotubes.