Time evolution of current density in conducting single-walled carbon nanotubes

Majid, M. J.; Alaa, M. H.

doi:10.1007/s10825-017-1124-2

Cited by 3 publications

(1 citation statement)

References 24 publications

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“…They emphasized that the coupling between the bulk states and edge states has interesting features, and they also observed that the oscillation in position occurs along the direction of the wave packet propagation which is unavailable in the infinite graphene sheets and semiconductor nanowires. Majid and Savinskii [17,18] and Majid and Alla [19][20][21] analyzed in the detailed description of wave-packet evolution in a monolayer graphene, carbon nanotubes and graphene nanoribbon by using the Heisenberg representation, they investigated the influence of the different pseudospin polarizations on the wave-packet dynamics for the initial wave function and the phenomenon of ZBW. The time evolution of the wave packet in bilayer graphene is investigated theoretically by using the long wave approximation and the Heisenberg representation [22].…”

Section: Introductionmentioning

confidence: 99%

Theoretical Treatment of the Zitterbewegung phenomena in the multilayer armchair graphene nanoribbons (MLAGNRs)

hawi,

jasim

2023

Preprint

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A treatment of Zitterbewegung (ZBW) phenomena in the multilayers armchair graphene nanoribbons (MLAGNRs) is presented theoretically by using long-wave approximation. Firstly, the time dependence of the average values of the position operators in the both longitudinal and transversal orientations are evaluated in MLAGNRs. The longitudinal and transversal components of the position operators derived analytically by using the Heisenberg representation. The Gaussian distribution of the wave packet is considered with the longitudinal carrier wave number kxo. The interference between the valence and the conduction energy bands, leads to the emergence the Zitterbewegung phenomena in the MLAGNRs, however, the presentes results emphasized that this phenomena has a transient, aperiodic and irregular oscillation in the longitudinal and transversal orientations. The average values of the position operators for MLAGNRs is calculated for three values of N (N = 5, 10 and 15).

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Section: Introductionmentioning

confidence: 99%

Theoretical Treatment of the Zitterbewegung phenomena in the multilayer armchair graphene nanoribbons (MLAGNRs)

hawi,

jasim

2023

Preprint

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I–V characteristics and conductance of strained SWCNTs

Majid

2019

Physics Letters A

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Trembling motion of the wave packet in armchair graphene nanoribbons (AGNRs)

Majid

Alaa

2018

Int. J. Mod. Phys. B

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A treatment of the trembling motion or Zitterbewegung (ZB) phenomena in the armchair graphene nanoribbons (AGNRs) by using long-wave approximation is presented theoretically. We are first interested to study the time dependence of the average values for the current density in AGNR. The longitudinal and transversal components of the current density operator are derived analytically in the Heisenberg representation. The wave packet in a Gaussian distribution is considered with half-width d and a carrier wave vector in the longitudinal orientation k[Formula: see text]. The average values of the current density which represent the current induced by the motion of the electrons along the nanoribbon are calculated numerically. The interference between two energy branches, or the corresponding upper and lower energy states, leads to the trembling motion in the armchair graphene nanoribbon, and hence, our results emphasized that the phenomena of ZB has an aperiodic and nontransient oscillation in the longitudinal and transversal direction, respectively. The average values for the current density for AGNRs are calculated with extremely large value of N and compared with infinite pristine graphene.

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Time evolution of current density in conducting single-walled carbon nanotubes

Cited by 3 publications

References 24 publications

Theoretical Treatment of the Zitterbewegung phenomena in the multilayer armchair graphene nanoribbons (MLAGNRs)

Theoretical Treatment of the Zitterbewegung phenomena in the multilayer armchair graphene nanoribbons (MLAGNRs)

I–V characteristics and conductance of strained SWCNTs

Trembling motion of the wave packet in armchair graphene nanoribbons (AGNRs)

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