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...
| Main Authors: | , , , , , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
MDPI AG
2023-06-01
|
| Series: | Condensed Matter |
| Subjects: | |
| Online Access: | https://www.mdpi.com/2410-3896/8/2/53 |
| _version_ | 1797595395113615360 |
|---|---|
| author | Chandra M. Adhikari Da’Shawn M. Morris Thomas W. Noonan Tikaram Neupane Basu R. Lamichhane Bhoj R. Gautam |
| author_facet | Chandra M. Adhikari Da’Shawn M. Morris Thomas W. Noonan Tikaram Neupane Basu R. Lamichhane Bhoj R. Gautam |
| author_sort | Chandra M. Adhikari |
| collection | DOAJ |
| description | 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. |
| first_indexed | 2024-03-11T02:35:49Z |
| format | Article |
| id | doaj.art-6efe2c2536c04507a7311b5801f9dded |
| institution | Directory Open Access Journal |
| issn | 2410-3896 |
| language | English |
| last_indexed | 2024-03-11T02:35:49Z |
| publishDate | 2023-06-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Condensed Matter |
| spelling | doaj.art-6efe2c2536c04507a7311b5801f9dded2023-11-18T09:54:43ZengMDPI AGCondensed Matter2410-38962023-06-01825310.3390/condmat8020053Dispersion in Single-Wall Carbon Nanotube Film: An Application of Bogoliubov–Valatin Transformation for Hamiltonian DiagonalizationChandra M. Adhikari0Da’Shawn M. Morris1Thomas W. Noonan2Tikaram Neupane3Basu R. Lamichhane4Bhoj R. Gautam5Department of Chemistry, Physics and Materials Science, Fayetteville State University, Fayetteville, NC 28301, USADepartment of Chemistry, Physics and Materials Science, Fayetteville State University, Fayetteville, NC 28301, USADepartment of Chemistry, Physics and Materials Science, Fayetteville State University, Fayetteville, NC 28301, USADepartment of Chemistry and Physics, The University of North Carolina at Pembroke, Pembroke, NC 28372, USANatural Sciences Collegium, Eckerd College, St. Petersburg, FL 33711, USADepartment of Chemistry, Physics and Materials Science, Fayetteville State University, Fayetteville, NC 28301, USAWe 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.https://www.mdpi.com/2410-3896/8/2/53dispersionsingle-wall carbon nanotubemany body theoryHamiltonian diagonalizationBogoliubov–Valatin transformation |
| spellingShingle | Chandra M. Adhikari Da’Shawn M. Morris Thomas W. Noonan Tikaram Neupane Basu R. Lamichhane Bhoj R. Gautam Dispersion in Single-Wall Carbon Nanotube Film: An Application of Bogoliubov–Valatin Transformation for Hamiltonian Diagonalization Condensed Matter dispersion single-wall carbon nanotube many body theory Hamiltonian diagonalization Bogoliubov–Valatin transformation |
| title | Dispersion in Single-Wall Carbon Nanotube Film: An Application of Bogoliubov–Valatin Transformation for Hamiltonian Diagonalization |
| title_full | Dispersion in Single-Wall Carbon Nanotube Film: An Application of Bogoliubov–Valatin Transformation for Hamiltonian Diagonalization |
| title_fullStr | Dispersion in Single-Wall Carbon Nanotube Film: An Application of Bogoliubov–Valatin Transformation for Hamiltonian Diagonalization |
| title_full_unstemmed | Dispersion in Single-Wall Carbon Nanotube Film: An Application of Bogoliubov–Valatin Transformation for Hamiltonian Diagonalization |
| title_short | Dispersion in Single-Wall Carbon Nanotube Film: An Application of Bogoliubov–Valatin Transformation for Hamiltonian Diagonalization |
| title_sort | dispersion in single wall carbon nanotube film an application of bogoliubov valatin transformation for hamiltonian diagonalization |
| topic | dispersion single-wall carbon nanotube many body theory Hamiltonian diagonalization Bogoliubov–Valatin transformation |
| url | https://www.mdpi.com/2410-3896/8/2/53 |
| work_keys_str_mv | AT chandramadhikari dispersioninsinglewallcarbonnanotubefilmanapplicationofbogoliubovvalatintransformationforhamiltoniandiagonalization AT dashawnmmorris dispersioninsinglewallcarbonnanotubefilmanapplicationofbogoliubovvalatintransformationforhamiltoniandiagonalization AT thomaswnoonan dispersioninsinglewallcarbonnanotubefilmanapplicationofbogoliubovvalatintransformationforhamiltoniandiagonalization AT tikaramneupane dispersioninsinglewallcarbonnanotubefilmanapplicationofbogoliubovvalatintransformationforhamiltoniandiagonalization AT basurlamichhane dispersioninsinglewallcarbonnanotubefilmanapplicationofbogoliubovvalatintransformationforhamiltoniandiagonalization AT bhojrgautam dispersioninsinglewallcarbonnanotubefilmanapplicationofbogoliubovvalatintransformationforhamiltoniandiagonalization |