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Supersymmetry in carbon nanotubes in a transverse magnetic field

2002/06/30 by Hyun‐Woo Lee, H. -W. Lee, Dmitry S. Novikov · 1 citation
Materials Science · Physics and Astronomy · #Carbon Nanotubes in Composites #Crystallography and Radiation Phenomena #Topological Materials and Phenomena #cond-mat.mes-hall

paper · pdf · doi:10.1103/physrevb.68.155402

published as Physical Review B vol. 68, 155402 (2003) · A new section on electron interaction effects added and explanation on roles of supersymmetry expanded. Revtex4, 6 EPS figure files

openalex publication_date 2003/10/03 · arxiv created 2003/10/16 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

Electron properties of carbon nanotubes in a transverse magnetic field are studied using a model of a massless Dirac particle on a cylinder. The problem possesses supersymmetry which protects low-energy states and ensures stability of the metallic behavior in arbitrarily large fields. In metallic tubes we find suppression of the Fermi velocity at half-filling and enhancement of the density of states. In semiconducting tubes the energy gap is suppressed. These features qualitatively persist (although to a smaller degree) in the presence of electron interactions. The possibilities of experimental observation of these effects are discussed.

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