Geometric effects in the electronic transport of deformed nanotubes

Abstract

Quasi-two-dimensional systems may exibit curvature, which adds three-dimensional influence to their internal properties. As shown by da Costa \cite{dacosta}, charged particles moving on a curved surface experience a curvature-dependent potential which greatly influence their dynamics. In this paper, we study the electronic ballistic transport in deformed nanotubes. The one-electron Schrödinger equation with open boundary conditions is solved numerically with a flexible MAPLE code made available as Supplementary Data. We find that the curvature of the deformations have indeed strong effects on the electron dynamics suggesting its use in the design of nanotube-based electronic devices.

Maple code available in pdf format upon request

References in corpus (5)

• The structure of suspended graphene sheets
• Continuum model for chiral induced spin selectivity in helical molecules
• Strongly anisotropic ballistic magnetoresistance in compact three-dimensional semiconducting nanoarchitectures
• Curvature effects on surface electron states in ballistic nanostructures
• Contactless Probing of the Intrinsic Carrier Transport in Single-Walled Carbon Nanotubes

Cited by in corpus (20)

• Geometric influences of a particle confined to a curved surface embedded in three-dimensional Euclidean space
• Quantum mechanics of a constrained particle and the problem of prescribed geometry-induced potential
• Geometric effects on the electronic structure of curved nanotubes and curved graphene: the case of the helix, catenary, helicoid, and catenoid
• Position-dependent mass effects in the electronic transport of two-dimensional quantum systems
• Study of electronic properties, Magnetization and persistent currents in a mesoscopic ring by controlled curvature
• Modifications of electron states, magnetization and persistent current in a quantum dot by controlled curvature
• Quantum control beyond the adiabatic regime in 2D curved matter-wave guides
• Schrödinger formalism for a particle constrained to a surface in ${\mathbb{R}}_1^3$
• Curved non-interacting two-dimensional electron gas with anisotropic mass
• Inertial and topological effects on a 2D electron gas
• Geometric effects on the electronic structure and the bound states in annular corrugated wires
• Torsion effects on Condensed Matter: like a magnetic field but not so much
• Spin current generation and control in carbon nanotubes by combining rotation and magnetic field
• Magnetic and geometric effects on the electronic transport of metallic nanotubes
• Geometric effects of a quarter of corrugated torus
• On the energy of topological defect lattices
• Quantum Mechanics of Particles Constrained to Spiral Curves with Application to Polyene Chains
• Quantum particle on the surface of a spherocylindrical capsule
• Higher Chern Number States in Curved Periodic Nanowires
• Effects of curvature on the electronic states of a two-dimensional mesoscopic ring