Supersymmetry in Carbon nanotubes in a transverse magnetic field
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 electron velocity at half filling and an enhancement of the density of states. In semiconducting tubes the energy gap is suppressed. The possibilities of experimental observation of these effects are discussed.Keywords
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