Low-energy electron transport in semimetal graphene ribbon junctions

Klymenko, Yu.O.; Shevtsov, Oleksii

doi:10.1140/epjb/e2009-00340-y

Cited by 10 publications

(9 citation statements)

References 34 publications

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“…There are also commonedged (3p−1)/(3p+2) (p is odd) junctions with three dimer lines long shoulder which are free of local levels too. Applying the same technique as for symmetrical junctions one can find that for common-edged junctions the reflection coefficient turns out to be inversely as the square of (2p l +1) [Klymenko and Shevtsov, 2009b]. Our calculations performed with help of Eq.…”

Section: Discussionmentioning

confidence: 95%

Electron transport through symmetrical junctions of semimetal graphene ribbons

Shevtsov,

Klymenko

2009

Preprint

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Based on the nearest-neighbor tight-binding model, we present analytical description of low-energy electron transport through a symmetrical junction of two semimetal armchair ribbons. The results obtained demonstrate the transmission suppression in the vicinity of the neutrality point except for the junction of the ribbons consisting of 3p − 1 and 3p + 5 dimer lines, p/2 is odd. Unlike other interconnections, these compounds are shown to be free of even local levels arising at the junction interface and exhibit electron backscattering to be inversely as the square of p + 1.

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Section: Discussionmentioning

confidence: 95%

Electron transport through symmetrical junctions of semimetal graphene ribbons

Shevtsov,

Klymenko

2009

Preprint

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“…and the wave vector κ, 0 ≤ k ≤ π, is in the units of a −1 . The electron structure and quantum transport in the zCTs (and their counterparts, armchair nanoribbons) were considered in a number of works [14,15,[24][25][26][27][28][29][30], and the eigenvalues and eigenstates ψ na,nz,α were found in different representations. The eigenfunctions ψ (j) m,n,α (k) can be found by using different approaches [15,16,24].…”

Section: A Zigzag Cntmentioning

confidence: 99%

Influence of chirality on the electron transmission through step-like potential in zigzag, armchair, and (2m,m) carbon nanotubes

Malysheva¹

2021

Preprint

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We report the one-electron spectrum and eigenstates of infinite achiral and chiral (2m, m) carbon nanotubes found by using the analytic solution to the Schrödinger equation for the tight-binding Hückel-type Hamiltonian. With the help of matching the wave functions on the interfaces between the regions, where electrons have different site energies, we find and compare the transmission coefficients for zigzag, armchair and chiral nanotubes subjected to the action of an applied step-like potential. The correspondence between the nanotube band structure and the energy dependence of the transmission coefficient is demonstrated. It is shown that the (2m, m) nanotubes with a medium chiral angle reveal intermediate transport properties as compared with the achiral armchair, and zigzag nanotubes.

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“…In other words, the transmission through the potential step at the r – l and

λ

–

ρ

interfaces is identical but it is different when an electron meets the potential step at the

ρ

– r and l –

λ

interfaces. To our knowledge, the potential was supposed to change just between nearest‐neighbor r and l atoms in all related studies .…”

Section: Transmission In Agrmentioning

confidence: 99%

“…1b–d. Unlike previous works , we perform calculations of the through‐step transmission coefficient for different interfaces between the regions with zero and nonzero site energies. We emphasize that the proposed approach allows us to consider different interfaces, in contrast to the continuous model of Dirac fermions.…”

Section: Introductionmentioning

confidence: 99%

Electron transmission through step‐like potential in armchair and zigzag graphene nanoribbons: Comparison of different interfaces

Onipko

Malysheva

2015

Physica Status Solidi (b)

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We present the one‐electron spectrum and eigenstates of bounded graphene nanoribbons that describe electron dynamics in terms of transverse and longitudinal motion. On this basis, we find the transmission coefficients for armchair graphene nanoribbons and polyacene under step‐like electronic potential. The problem is solved for different interfaces between the regions with zero and nonzero site energies. The obtained results have numerous applications to the construction of multi‐terminal graphene‐based electronic devices.

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Low-energy electron transport in semimetal graphene ribbon junctions

Cited by 10 publications

References 34 publications

Electron transport through symmetrical junctions of semimetal graphene ribbons

Electron transport through symmetrical junctions of semimetal graphene ribbons

Influence of chirality on the electron transmission through step-like potential in zigzag, armchair, and (2m,m) carbon nanotubes

Electron transmission through step‐like potential in armchair and zigzag graphene nanoribbons: Comparison of different interfaces

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