Tight-binding calculation with up to the 3rd nearest neighbor coupling for small-radius carbon nanotubes

Lo, W.-S.; Wu, George; Wu, Kuei-Ching

doi:10.1016/j.physe.2010.08.034

Cited by 5 publications

(6 citation statements)

References 26 publications

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“…For odd CNTs, increasing the diameter decreases the difference energy positions and a broadened peak is observed instead of two distinct peaks. For example, in (12,1) CNT, these peaks are located at energies 3.88 eV and 3.93 eV and they move to 3.87 eV and 3.89 eV in (12,11) CNT. We reached two main conclusions from our observation.…”

Section: Optical Propertiesmentioning

confidence: 99%

“…Increasing the distance between them is due to the increasing of the magnetic field. Figure 9 shows optical spectra for (10,3), (11,1) and (12,2) CNTs in different axial magnetic fields (up to 200 T) in the infrared region, respectively. Their spectra do not show clear splitting below the 30 T, while at higher magnetic fields above 30 T, each peak is divided into two distinct peaks (e.g., peaks E 11+ and E 11À ) with the splitting energy DE ð1Þ ¼ E cv 11þ À E cv 11À .…”

Section: Optical Propertiesmentioning

confidence: 99%

“…This is in agreement with previous theoretical and experimental studies. 21 (8,7), (10,6), (11,1), (10,3), (12,2) and (11,4) CNTs is 6, 5.9, 5.7, 5.77, 5.75 and 5.82, respectively. which is in agreement with previous studies.…”

Section: Optical Propertiesmentioning

confidence: 99%

“…5,6 By adding other parameters such as next-neighbor hopping integral, overlap and on-site energy, the 1NN-TB model can be completed and the values obtained from this model will be improved for graphene and CNTs. 4,[7][8][9][10][11][12] To calculate the optical properties of CNTs, the electronic transitions between VHSs in the DOS should be determined. 13 Semiconducting SWCNTs are already candidates for photovoltaic applications, 14 opto-electronics 15 and molecular electronics.…”

Section: Introductionmentioning

confidence: 99%

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Third-Nearest-Neighbors Tight-Binding Description of Optical Response of Carbon Nanotubes: Effects of Chirality and Diameter

Chegel

2015

Journal of Elec Materi

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We have applied a third nearest-neighbor tight binding model to investigate the optical properties of CNTs in terms of radius, chirality and magnetic field. The optical spectrum of CNTs depends strongly on the radius and chirality in the infrared region in contrast to the middle energy region. The dependence of E 22 /E 11 on the radius and chirality from optical peak positions and band structure is similar. In the infrared region, by applying the magnetic field, the optical peak splitting rates show well-expressed radius and chirality dependence and family behaviors.

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Section: Optical Propertiesmentioning

confidence: 99%

Section: Optical Propertiesmentioning

confidence: 99%

Section: Optical Propertiesmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

See 2 more Smart Citations

Third-Nearest-Neighbors Tight-Binding Description of Optical Response of Carbon Nanotubes: Effects of Chirality and Diameter

Chegel

2015

Journal of Elec Materi

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“…However, first principle and numerical tight-binding calculations show that only armchair CNTs (n = m) are truly metallic. [19][20][21] All other tubes from the specified category have a small curvature-induced band gap that ranges from ≈ 2 − 50 meV depending on the tube diameter and chirality.…”

Section: Introductionmentioning

confidence: 99%

Interband transitions in narrow-gap carbon nanotubes and graphene nanoribbons

Saroka

Hartmann

Portnoi

2019

Carbon-Based Nanoelectromagnetics

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Interband transitions in narrow-gap carbon nanotubes and graphene nanoribbons We use the robust nearest-neighbour tight-binding approximation to study on the same footing interband dipole transitions in narrow-bandgap carbon nanotubes and graphene nanoribbons. It is demonstrated that curvature effects in metallic singlewalled carbon nanotubes and edge effects in gapless graphene nanoribbons not only open up bang gaps, which typically correspond to THz frequencies, but also result in a giant enhancement of the probability of optical transitions across these gaps. Moreover, the matrix element of the velocity operator for these transitions has a universal value (equal to the Fermi velocity in graphene) when the photon energy coincides with the band-gap energy. Upon increasing the excitation energy, the transition matrix element first rapidly decreases (for photon energies remaining in the THz range but exceeding two band gap energies it is reduced by three orders of magnitude), and thereafter it starts to increase proportionally to the photon frequency. A similar effect occurs in an armchair carbon nanotube with a band gap opened and controlled by a magnetic field applied along the nanotube axis. There is a direct correspondence between armchair graphene nanoribbons and single-walled zigzag carbon nanotubes. The described sharp photon-energy dependence of the transition matrix element together with the van Hove singularity at the band gap edge of the considered quasi-one-dimensional systems make them promising candidates for active elements of coherent THz radiation emitters. The effect of Pauli blocking of low-energy interband transitions caused by residual doping can be suppressed by creating a population inversion using high-frequency (optical) excitation.

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Estimation of the Young’s modulus of single-walled carbon nanotubes under electric field using tight-binding method

Roknabadi

Koohjani

Shahtahmasbi

et al. 2013

Superlattices and Microstructures

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Tight-binding calculation with up to the 3rd nearest neighbor coupling for small-radius carbon nanotubes

Cited by 5 publications

References 26 publications

Third-Nearest-Neighbors Tight-Binding Description of Optical Response of Carbon Nanotubes: Effects of Chirality and Diameter

Third-Nearest-Neighbors Tight-Binding Description of Optical Response of Carbon Nanotubes: Effects of Chirality and Diameter

Interband transitions in narrow-gap carbon nanotubes and graphene nanoribbons

Estimation of the Young’s modulus of single-walled carbon nanotubes under electric field using tight-binding method

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