Supersymmetric twisting of carbon nanotubes

0391471 - ÚJF 2013 RIV US eng J - Journal Article
Jakubský, Vít - Plyushchay, M. S.
Supersymmetric twisting of carbon nanotubes.
Physical Review D: Particles, Fields, Gravitation and Cosmology. Roč. 85, č. 4 (2012), 045035. ISSN 1550-7998
R&D Projects: GA AV ČR GPP203/11/P038
Institutional research plan: CEZ:AV0Z10480505
Keywords : quantum wave-guides * bound-states * condensed-matter
Subject RIV: BE - Theoretical Physics
Impact factor: 4.691, year: 2012

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 backscattering 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.
Permanent Link: http://hdl.handle.net/11104/0220526