Carbon nanotubes in an inhomogeneous transverse magnetic field: exactly solvable model

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Jakubsky V., KURU Ş., Negro J.

JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL, vol.47, no.11, 2014 (SCI-Expanded) identifier identifier

  • Publication Type: Article / Article
  • Volume: 47 Issue: 11
  • Publication Date: 2014
  • Doi Number: 10.1088/1751-8113/47/11/115307
  • Journal Name: JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Keywords: carbon nanotubes, Dirac equation, magnetic field, finite-gap systems, EQUATION, SUPERSYMMETRY
  • Ankara University Affiliated: Yes

Abstract

A class of exactly solvable models describing carbon nanotubes in the presence of an external inhomogeneous magnetic field is considered. The framework of the continuum approximation is employed, where the motion of the charge carriers is governed by the Dirac-Weyl equation. The explicit solution of a particular example is provided. It is shown that these models possess nontrivial integrals of motion that establish N = 2 nonlinear supersymmetry in case of metallic and maximally semiconducting nanotubes. Remarkable stability of energy levels with respect to small fluctuations of longitudinal momentum is demonstrated.