Effect of curvature on the electronic structure and bound-state formation in rolled-up nanotubes

Carmine Ortix and Jeroen van den Brink

Phys. Rev. B 81, 165419 – Published 12 April 2010

Abstract

We analyze the electronic properties of a two-dimensional electron gas rolled up into a nanotube by both numerical and analytical techniques. The nature and the energy dispersion of the electronic quantum states strongly depend on the geometric parameters of the nanotube: the typical radius of curvature and the number of windings. The effect of the curvature results in the appearance of atomic-like bound states localized near the points of maximum curvature. For a two-dimensional sheet rolled up into an Archimedean spiral, we find that the number of bound states is equal to the number of windings of the spiral.

Received 29 January 2010

DOI:https://doi.org/10.1103/PhysRevB.81.165419

Authors & Affiliations

Carmine Ortix^1,2 and Jeroen van den Brink^2,3

¹Institute Lorentz for Theoretical Physics, Leiden University, P.O. Box 9506, 2300 RA Leiden, The Netherlands
²Leibniz Institute for Solid State and Materials Research Dresden, D01171 Dresden, Germany
³Institute for Molecules and Materials, Radboud Universiteit Nijmegen, 6500 GL Nijmegen, The Netherlands

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Issue

Vol. 81, Iss. 16 — 15 April 2010

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Physical Review B

covering condensed matter and materials physics