Resonant electron scattering by a graphene antidot

Zagorodnev, I. V.; Devizorova, Zh.; Enaldiev, V. V.

doi:10.1103/physrevb.92.195413

Cited by 10 publications

(5 citation statements)

References 58 publications

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“…9. It is known [40][41][42][43] that various types of localized states exist at the edges of graphene and graphene-based systems. Since we are interested in the bulk behavior, the influence of such states is to be reduced as much as possible.…”

Section: Appendix A: Details Of Numerical Proceduresmentioning

confidence: 99%

Single-electron gap in the spectrum of twisted bilayer graphene

et al. 2017

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We investigate the gap in the single-electron spectrum of twisted bilayer graphene. In a perfect infinite lattice of a twisted bilayer, the gap varies exponentially in response to weak changes of the twist angle. Such a large sensitivity makes theoretical predictions of the gap nearly impossible, since experimentally the twist angle is always known with finite accuracy. To address this issue, we numerically study finite clusters of twisted bilayer graphene. For finite systems, changing the twist angle causes a gradual crossover between gapless and gapped regimes. The crossover occurs when the finite-size quantization energy becomes comparable to the matrix elements responsible for the generation of the gap. We further argue that disorder scattering can induce similar crossover, in which the mean-free path plays the same role as the system size for the finite clusters. It is demonstrated that, to observe the gap experimentally, it is necessary to have a sample of suitable purity, and to possess the ability to tune the twist angle accurately.

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Section: Appendix A: Details Of Numerical Proceduresmentioning

confidence: 99%

Single-electron gap in the spectrum of twisted bilayer graphene

et al. 2017

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“…Unlike commonly stated in the literature [3,11], we show that the metallic AGNRs do, in some cases, possess edge states, whose existence and localization is governed by the mass terms present in the system. Edge modes in the presence of a magnetic field were investigated in [12,13], while those on curved edges were treated in [14].…”

Section: Introductionmentioning

confidence: 99%

Mass distortions and edge modes in graphene armchair nanoribbons

et al. 2018

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We investigate, in the framework of the macroscopic Dirac model, the spectrum, charge density, and conductivity of metallic armchair graphene nanoribbons in the presence of different mass terms. We reveal the conditions and symmetries governing the existence of edge modes in the system. Depending on the mass terms present, they are exponentially localized gapless or gapped modes. The latter situation is realized, in particular, for a full Kekulé distortion. For this case, we calculate the mean charge and conductivity of the ribbon, and derive the traces of the presence of edge modes suitable for experimental verification.

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“…However, disentanglement of the wave functions belonging opposite spin projections in BC (5) does not mean vanishing ESOI, as a 1,τ = a −1,τ in general case. It is known 23 that BC ( 5) is equivalent to insertion of diagonal in spin subspace potential in the Hamiltonian (1), which is a combination of electrostatic (∝ σ 0 ) and pseudo-electrostatic…”

Section: Introductionmentioning

confidence: 99%

Edge states and spin-valley edge photocurrent in transition metal dichalcogenide monolayers

Enaldiev

2017

Phys. Rev. B

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We develop an analytical theory for edge states in monolayers of transition metal dichalcogenides based on a general boundary condition for a two-band kp-Hamiltonian in case of uncoupled valleys. Taking into account edge spin-orbit interaction we reveal that edge states, in general, have linear dispersion that is determined by three real phenomenological parameters in the boundary condition. In absence of the edge spin-orbit interaction, edge states are described by a single real parameter whose sign determines whether their spectra intersect the bulk gap or not. In the former case we show that illumination by circularly polarised light results in spin and valley polarised photocurrent along the edge. Flow direction, spin and valley polarisation of the edge photocurrent are determined by the direction of circular polarisation of the illuminated light.

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Resonant electron scattering by a graphene antidot

Cited by 10 publications

References 58 publications

Single-electron gap in the spectrum of twisted bilayer graphene

Single-electron gap in the spectrum of twisted bilayer graphene

Mass distortions and edge modes in graphene armchair nanoribbons

Edge states and spin-valley edge photocurrent in transition metal dichalcogenide monolayers

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