Dispersion in Single-Wall Carbon Nanotube Film: An Application of Bogoliubov–Valatin Transformation for Hamiltonian Diagonalization

We present a theoretical study on the energy dispersion of an ultrathin film of periodically-aligned single-walled carbon nanotubes (SWCNTs) with the help of the Bogoliubov–Valatin transformation. The Hamiltonian of the film was derived using the many-particle green function technique in the Matsuba...

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Bibliographic Details
Published in:Condensed matter 2023-06, Vol.8 (2), p.53
Main Authors: Adhikari, Chandra M., Morris, Da’Shawn M., Noonan, Thomas W., Neupane, Tikaram, Lamichhane, Basu R., Gautam, Bhoj R.
Format: Article
Language:English
Subjects:
Bogoliubov–Valatin transformation
Carbon
Dielectric films
dispersion
Eigenvalues
Electrons
Energy
Graphene
Green's functions
Hamiltonian diagonalization
many body theory
Mathematical functions
Nanotubes
Single wall carbon nanotubes
single-wall carbon nanotube
Substrates
Thickness
Thin films
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Summary:We present a theoretical study on the energy dispersion of an ultrathin film of periodically-aligned single-walled carbon nanotubes (SWCNTs) with the help of the Bogoliubov–Valatin transformation. The Hamiltonian of the film was derived using the many-particle green function technique in the Matsubara frequency formalism. The periodic array of SWCNTs was embedded in a dielectric with comparatively higher permittivity than the substrate and the superstrate such that the SWCNT film became independent with the axis of quantization but keeps the thickness as the variable parameter, making the film neither two-dimensional nor three-dimensional, but transdimensional. It was revealed that the energy dispersion of the SWCNT film is thickness dependent.
ISSN:2410-3896
2410-3896
DOI:10.3390/condmat8020053