. "Finite-gap twists of carbon nanotubes and an emergent hidden supersymmetry" . "I, P(GPP203/11/P038)" . "condensed matter; nanostructures; supersymmetry"@en . . "Correa, F." . . "RIV/61389005:_____/13:00392358!RIV14-AV0-61389005" . "Physical Review D: Particles, Fields, Gravitation and Cosmology" . . "Finite-gap twists of carbon nanotubes and an emergent hidden supersymmetry"@en . . . "1"^^ . . "http://prd.aps.org/pdf/PRD/v87/i8/e085019" . "2"^^ . "75136" . "10.1103/PhysRevD.87.085019" . "We consider radially twisted nanotubes in the low-energy approximation, where the dynamics is governed by a one-dimensional Dirac equation. The mechanical deformation of the nanotubes is reflected by the presence of an effective vector potential. We discuss twisted carbon and boron-nitride nanotubes, where deformations give rise to periodic and nonperiodic finite-gap Hamiltonians. The intimate relation of these systems with the integrable Ablowitz-Kaup-Newell-Segur hierarchy is exploited in the study of their spectral properties as well as in the computation of the (local) density of states. We show that a nonlinear hidden supersymmetry generated by local supercharges arises naturally in the finite-gap configurations of twisted nanotubes with time-reversal symmetry. The properties of the van Hove singularities are encoded in its structure."@en . "1550-7998" . "Jakubsk\u00FD, V\u00EDt" . . . . . . . "8" . "87" . "Finite-gap twists of carbon nanotubes and an emergent hidden supersymmetry" . . "000317397500007" . . "RIV/61389005:_____/13:00392358" . . "12"^^ . "US - Spojen\u00E9 st\u00E1ty americk\u00E9" . "[21779F41A150]" . . "We consider radially twisted nanotubes in the low-energy approximation, where the dynamics is governed by a one-dimensional Dirac equation. The mechanical deformation of the nanotubes is reflected by the presence of an effective vector potential. We discuss twisted carbon and boron-nitride nanotubes, where deformations give rise to periodic and nonperiodic finite-gap Hamiltonians. The intimate relation of these systems with the integrable Ablowitz-Kaup-Newell-Segur hierarchy is exploited in the study of their spectral properties as well as in the computation of the (local) density of states. We show that a nonlinear hidden supersymmetry generated by local supercharges arises naturally in the finite-gap configurations of twisted nanotubes with time-reversal symmetry. The properties of the van Hove singularities are encoded in its structure." . "Finite-gap twists of carbon nanotubes and an emergent hidden supersymmetry"@en .