Publication: Wavefunctions and energy eigenvalues of charge carriers in zigzag carbon nanotubes and in armchair nanoribbons in the vicinity of Dirac point under the influence of longitudinal electric field
Дата
2020
Авторы
Sadykov, N. R.
Muratov, E. T.
Pilipenko, I. A.
Aporoski, A. V.
Journal Title
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Volume Title
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Аннотация
© 2020 Elsevier B.V.Finite length graphene nanoribbon with armchair edges impacted by the external electrical field longitudinal to the edges was investigated, and approximate solutions for the electrons energy and wavefunctions in the neighborhood of the Dirac point were obtained. Matrix elements for the position operators are also calculated. Based on the four-point unit cell for elongated zigzag carbon nanotubes and staggered armchair-edge graphene nanoribbons under the influence of longitudinal electric field, the eigenvalues and eigenfunctions are obtained in vicinity of the Dirac point. It is shown that for the not-perturbed Hamilton operator H0 the eigenvalues of armchair nanoribbon and zigzag nanotube coincide if their lengths are the same, while their spectrum is equidistant. Similarly to carbyne and zigzag edge nanotubes, for armchair edge nanoribbons based on the four-point unit phase cell in the vicinity of Dirac points, the wavefunction is expressed in the form of two-component Dirac function. It is shown that in the case of semiconducting N armchair-edge nanoribbons, where N+1=3p+δ, δ=±1, N>>1, electronic properties can be described using the two uncoupled Majorana equations of 1 + 1 dimension for the particle with non-zero mass. Solutions of these equations are charge-neutral Majorana fields φ± (δ). These results are of practical interest in designing the supercomputers and experiments in this area. The possibility of generation of terahertz radiation by the Cherenkov mechanism and by analogy with cascade lasers is also discussed.
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Цитирование
Wavefunctions and energy eigenvalues of charge carriers in zigzag carbon nanotubes and in armchair nanoribbons in the vicinity of Dirac point under the influence of longitudinal electric field / Sadykov, N.R. [et al.] // Physica E: Low-Dimensional Systems and Nanostructures. - 2020. - 120. - 10.1016/j.physe.2020.114071
URI
https://www.doi.org/10.1016/j.physe.2020.114071
https://www.scopus.com/record/display.uri?eid=2-s2.0-85082022356&origin=resultslist
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https://openrepository.mephi.ru/handle/123456789/20425
https://www.scopus.com/record/display.uri?eid=2-s2.0-85082022356&origin=resultslist
http://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcAuth=Alerting&SrcApp=Alerting&DestApp=WOS_CPL&DestLinkType=FullRecord&UT=WOS:000545246500010
https://openrepository.mephi.ru/handle/123456789/20425