Scattering of Dirac Electrons by Randomly Distributed Nitrogen Substitutional Impurities in Graphene

Rakhimov, Kh. Yu.; Chaves, Andrey; Lambin, Philippe

doi:10.3390/app6090256

Cited by 3 publications

(1 citation statement)

References 65 publications

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“…This equation predicted the spin and the magnetic moment of the electrons, the existence of antiparticles and was able to reproduce accurately the spectrum of the hydrogen atom. The Dirac equation plays an important role in various fields of Physics, as mathematical physics [3][4][5], particle physics [6][7][8], solid state physics [9,10], astrophysics [11], quantum computing [12], nonlinear optics [13], etc. As it can be deduced from the cited articles the Dirac equation and its applications is still a hot topic of research.…”

Section: Introductionmentioning

confidence: 99%

On the connection between the solutions to the Dirac and Weyl equations and the corresponding electromagnetic four-potentials

Kechriniotis¹,

Tsonos²,

Delibasis³

et al. 2020

Commun. Theor. Phys.

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In this paper the inverse problem of the correspondence between the solutions of the Dirac equation and the electromagnetic 4-potentials, is fully solved. The Dirac solutions are classified into two classes. The first one consists of degenerate Dirac solutions corresponding to an infinite number of 4-potentials while the second one consists of non-degenerate Dirac solutions corresponding to one and only one electromagnetic 4-potential. Explicit expressions for the electromagnetic 4-potentials are provided in both cases. Further, in the case of the degenerate Dirac solutions, it is proven that at least two 4-potentials are gauge inequivalent, and consequently correspond to different electromagnetic fields. This result is extremely important, because it leads to the groundbreaking conclusion that for a specific class of spinors, a fermion is possible to be in the same state under the influence of different electromagnetic fields.

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Section: Introductionmentioning

confidence: 99%

On the connection between the solutions to the Dirac and Weyl equations and the corresponding electromagnetic four-potentials

Kechriniotis¹,

Tsonos²,

Delibasis³

et al. 2020

Commun. Theor. Phys.

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Pulsed-grown graphene for flexible transparent conductors

Nayak

2019

Nanoscale Adv.

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In the race to find novel transparent conductors for next-generation optoelectronic devices, graphene is supposed to be one of the leading candidates, as it has the potential to satisfy all future requirements.However, the use of graphene as a truly transparent conductor remains a great challenge because its lowest sheet resistance demonstrated so far exceeds that of the commercially available indium tin oxide.The possible cause of low conductivity lies in its intrinsic growth process, which requires further exploration. In this work, I have approached this problem by controlling graphene nucleation during the chemical vapor deposition process as well as by adopting three distinct procedures, including bis(trifluoromethanesulfonyl)amide doping, post annealing, and flattening of graphene films. Additionally, van der Waals stacked graphene layers have been prepared to reduce the sheet resistance effectively. I have demonstrated an efficient and flexible transparent conductor with the extremely low sheet resistance of 40 U sq À1 , high transparency (T r $90%), and high mechanical flexibility, making it suitable for electrode materials in future optoelectronic devices.

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Dirac-Based Quantum Admittance of 2D Nanomaterials at Radio Frequencies

Rozzi¹,

Mencarelli²,

Zampa³

et al. 2022

Applied Sciences

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Starting from a rigorous finite mass, Dirac equation-based model, we investigate the R.F. quantum admittance of a monolayer 2D material under the action of an electromagnetic (e.m.) wave with axially directed vector potential. With some reasonable approximations, the analysis yields a relatively simple RLC-equivalent circuit with frequency-independent elements depending on the bias, temperature, effective mass, Fermi velocity and effective e.m. index of the material, losses and other relevant parameters.

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Scattering of Dirac Electrons by Randomly Distributed Nitrogen Substitutional Impurities in Graphene

Cited by 3 publications

References 65 publications

On the connection between the solutions to the Dirac and Weyl equations and the corresponding electromagnetic four-potentials

On the connection between the solutions to the Dirac and Weyl equations and the corresponding electromagnetic four-potentials

Pulsed-grown graphene for flexible transparent conductors

Dirac-Based Quantum Admittance of 2D Nanomaterials at Radio Frequencies

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