Singlet superconductivity phase in carbon nanotubes

TL;DR

This paper investigates the phase diagram of a (5,0) carbon nanotube, revealing a singlet superconducting phase with specific angular momentum, using renormalization group calculations of correlation functions.

Contribution

It introduces a detailed analysis of superconducting and density wave phases in (5,0) carbon nanotubes considering momentum-dependent scattering channels.

Findings

Identification of a singlet-superconducting phase with 5ħ angular momentum.

Calculation of critical exponents for correlation functions.

Mapping of phase diagrams using renormalization group methods.

Abstract

We discuss phase diagrams obtained by calculating temperature dependent correlation functions for superconductivity and density waves for a single (5,0) carbon nanotube (CN). We use one-loop renormalization group method within logarithmic accuracy. In this system we must specify scattering channels in terms of momentum along the circumferential direction as well as the axis direction, since (5,0) CN has two degenerate bands crossing the Fermi energy with circumferential momenta. We find singlet-superconducting phase with $5\hbar$ circumferential angular momentum. Critical exponents for each correlation functions are also calculated.