Curvature effects on collective excitations in dumbbell-shaped hollow nanotubes

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.

arXiv comment4 pages, 4 figures

References in corpus (17)

• Quantum mechanics on curved 2D systems with electric and magnetic fields
• Friedel oscillations for interacting fermions in one dimension
• Quantum Mechanics on Manifolds Embedded in Euclidean Space
• Electronic structure of periodic curved surfaces -- topological band structure
• Effect of the surface curvature on the magnetic moment and persistent currents in two-dimensional quantum rings and dots
• Geometry induced charge separation on a helicoidal ribbon
• Geometric effects on critical behaviours of the Ising model
• On geometric potentials in nanomechanical circuits
• Tuning the electrical resistivity of semiconductor thin films by nanoscale corrugation
• Bilayer graphene Origami: curvature-induced p-n junctions
• Curvature-induced frustration in the $XY$ model on hyperbolic surfaces
• The dynamic exponent of the Ising model on negatively curved surfaces
• Curvature effects on surface electron states in ballistic nanostructures
• Quantum Hall effect in a high-mobility two-dimensional electron gas on the surface of a cylinder
• Pressure-induced structural transitions in multi-walled carbon nanotubes
• Phase transition of $q$-state clock models on heptagonal lattices
• Quantum Particles Constrained on Cylindrical Surfaces with Non-constant Diameter

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• Diverse corrugation pattern in radially shrinking carbon nanotubes
• Anomalous phase shift in a twisted quantum loop
• Flexible control of the Peierls transition in metallic C${}_{60}$ polymers
• Manipulating the Tomonaga-Luttinger exponent by electric field modulation
• Density of states anomalies in multichannel quantum wires