Supersymmetry in carbon nanotubes in a transverse magnetic field

Details Supersymmetry in carbon nanotubes in a transverse magnetic field Supersymmetry in carbon nanotubes in a transverse magnetic field

2002-06-03

arxiv.org/abs/cond-mat/0206025v2

Physical Review B vol. 68, 155402 (2003)

Physics

Condensed Matter

Mesoscale and Nanoscale Physics

A new section on electron interaction effects added and explanation on roles of supersymmetry expanded. Revtex4, 6 EPS figure

Scientific paper

10.1103/PhysRevB.68.155402

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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