About: Finite-gap twists of carbon nanotubes and an emergent hidden supersymmetry     Goto   Sponge   NotDistinct   Permalink

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  • 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.
  • 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)
Title
  • Finite-gap twists of carbon nanotubes and an emergent hidden supersymmetry
  • Finite-gap twists of carbon nanotubes and an emergent hidden supersymmetry (en)
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  • Finite-gap twists of carbon nanotubes and an emergent hidden supersymmetry
  • Finite-gap twists of carbon nanotubes and an emergent hidden supersymmetry (en)
skos:notation
  • RIV/61389005:_____/13:00392358!RIV14-AV0-61389005
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  • I, P(GPP203/11/P038)
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  • 8
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  • RIV/61389005:_____/13:00392358
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  • condensed matter; nanostructures; supersymmetry (en)
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  • US - Spojené státy americké
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  • [21779F41A150]
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  • Physical Review D: Particles, Fields, Gravitation and Cosmology
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  • 87
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  • Jakubský, Vít
  • Correa, F.
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  • 000317397500007
issn
  • 1550-7998
number of pages
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  • 10.1103/PhysRevD.87.085019
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