Supersymmetric twisting of carbon nanotubes

Details Supersymmetric twisting of carbon nanotubes Supersymmetric twisting of carbon nanotubes

2011-11-16

arxiv.org/abs/1111.3776v2

Phys. Rev. D85, 045035 (2012)

Physics

High Energy Physics

High Energy Physics - Theory

10 pages, 5 figures; analysis extended, fig.5 added. Typos corrected, references added

Scientific paper

We construct exactly solvable models of twisted carbon nanotubes via supersymmetry, by applying the matrix Darboux transformation. We derive the Green's function for these systems and compute the local density of states. Explicit examples of twisted carbon nanotubes are produced, where the back-scattering is suppressed and bound states are present. We find that the local density of states decreases in the regions where the bound states are localized. Dependence of bound-state energies on the asymptotic twist of the nanotubes is determined. We also show that each of the constructed unextended first order matrix systems possesses a proper nonlinear hidden supersymmetric structure with a nontrivial grading operator.

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