Curvature effects on collective excitations in dumbbell-shaped hollow nanotubes

TL;DR

This paper studies how surface curvature in dumbbell-shaped hollow nanotubes influences the Tomonaga-Luttinger liquid states, revealing that curvature variations significantly enhance the TLL exponent and explaining experimental observations in related 1D metallic polymers.

Contribution

It demonstrates the impact of surface curvature on TLL states in 1D hollow nanotubes, providing a theoretical explanation for experimental findings in peanut-shaped fullerene polymers.

Findings

Surface curvature variation enhances TLL exponent.

Effective potential field influences low-energy electron behavior.

Results explain experimental TLL properties in peanut-shaped polymers.

Abstract

We investigate surface-curvature induced alteration in the Tomonaga-Luttinger liquid (TLL) states of a one-dimensional (1D) deformed hollow nanotube with a dumbbell-shape. Periodic variation of the surface curvature along the axial direction is found to enhance the TLL exponent significantly, which is attributed to an effective potential field that acts low-energy electrons moving on the curved surface. The present results accounts for the experimental observation of the TLL properties of 1D metallic peanut-shaped fullerene polymers whose enveloping surface is assumed to be a dumbbell-shaped hollow tube.