Tomonaga-Luttinger-Liquid Theory of Metallic Carbon Nanotubes with Open Boundaries

TL;DR

This paper develops a Tomonaga-Luttinger-liquid theoretical framework for metallic carbon nanotubes with open boundaries, analyzing charge density variations and Coulomb interaction effects in single- and multi-wall nanotubes.

Contribution

It introduces a detailed Luttinger-liquid model for open-boundary nanotubes, including charge density behavior and Coulomb interaction impacts, extending previous theories.

Findings

Charge density has both uniform and oscillatory parts.

Coulomb interactions influence oscillation amplitude and wave numbers.

Chemical potential shifts affect charge distribution.

Abstract

Tomonaga-Luttinger-liquid theory is formulated for metallic carbon nanotubes with open boundaries. Both cases of single- and multi-wall nanotubes are discussed. Based on this theory, spatial variation of the charge density from an edge is investigated with taking account of the shift of the chemical potential which expresses the carrier injection to the nanotube. The charge density has the spatially independent part and the oscillatory component. Roles of Coulomb interaction on the amplitude of the oscillation, the wavenumbers of it and the uniform component of the charge density are clarified.