Band tunneling through double barrier in biased graphene bilayer

Abdullah, Hasan M.; Mouhafid, Abderrahim El; Bahlouli, H.; Jellal, Ahmed

doi:10.1088/2053-1591/aa5b52

Cited by 18 publications

(37 citation statements)

References 37 publications

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“…To describe electron dynamics semi-classically one proceeds in two steps. We first use the quantum mechanical formalism to evaluate transmission and reflection probabilities 38,[57][58][59] , and secondly determine the electron trajectories using the classical approach. Since the system is invariant along the x−direction, the solution of the Schrödinger equation HΨ = EΨ can be written in a matrix form as…”

Section: B Semi-classical Dynamicsmentioning

confidence: 99%

Electron collimation at van der Waals domain walls in bilayer graphene

et al. 2019

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We show that a domain wall separating single layer graphene (SLG) and AA-stacked bilayer graphene (AA-BLG) can be used to generate highly collimated electron beams which can be steered by a magnetic field. Two distinct configurations are studied, namely, locally delaminated AA-BLG and terminated AA-BLG whose terminal edge-type are assumed to be either zigzag or armchair. We investigate the electron scattering using semi-classical dynamics and verify the results independently with wave-packed dynamics simulations. We find that the proposed system supports two distinct types of collimated beams that correspond to the lower and upper cones in AA-BLG. Our computational results also reveal that collimation is robust against the number of layers connected to AA-BLG and terminal edges.

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Section: B Semi-classical Dynamicsmentioning

confidence: 99%

Electron collimation at van der Waals domain walls in bilayer graphene

et al. 2019

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“…However the band gap does not break the equivalence in the scattered channels of the conductance such that G − + = G + − still equivalent for all energy ranges (see Fig. 7(a)), in contrast to the case of the double barriers [52]. By comparing our results with those of the biased AB-BLG [29], we observe that some shoulders of the peaks are removed and the contribution of the transmission channels on the total conductance are not much more pronounced as a result of the gap ∆ 0 induced by dielectric layers.…”

Section: Numerical Results and Discussionmentioning

confidence: 92%

Transport Properties in Gapped Bilayer Graphene

Benlakhouy,

Mouhafid,

Jellal

2021

Preprint

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We investigate transport properties through a rectangular potential barrier in AB-stacked bilayer graphene (AB-BLG) gapped by dielectric layers. Using the Dirac-like Hamiltonian with a transfer matrix approach we obtain transmission and reflection probabilities as well as the associated conductance. For two-band model and at normal incidence, we find extra resonances appearing in transmission compared to biased AB-BLG, which are Fabry-Pérot resonance type. Now by taking into account the inter-layer bias, we show that both of transmission and anti-Klein tunneling are diminished. Regarding four band model, we find that the gap suppresses transmission in an energy range by showing some behaviors look like "Mexican hats". We examine the total conductance and show that it is affected by the gap compared to AA-stacked bilayer graphene. In addition, we find that the suppression in conductance is more important than that for biased AB-BLG.

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“…To calculate the transmission probabilities, the desired solution in each region must be obtained. Then, implementing the transfer matrix together with appropriate boundary conditions gives the transmission and reflection probabilities [41][42][43] . The different possible intra-or intercone transitions processes through the junctions are described in Fig.…”

Section: Electronic Modelmentioning

confidence: 99%

Substrate effects on transport properties of a biased AA-stacked bilayer graphene

Abdullah

Bahlouli

2018

Journal of Computational Science

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The important experimental advances in graphene fabrication and its peculiar transport properties motivated researchers to utilize graphene as a potential basis for the next generation of fast and smart electronic devices. In this article, we investigate the influence of a potential substrate on the transport properties of a biased AA-stacked n-p-n bilayer graphene junction (AA-BLG). Using the Dirac Hamiltonian with the transfer matrix approach we obtain the transmission probabilities and thus the respective conductance. In the presence of the induced mass-term the energy spectrum and the intra-cone transmission drastically change while the inter-cone transmission remains zero. On the other hand, the bias slightly alters the energy spectrum but it significantly affects the transport properties due to its ability to switch on the inter-cone transmission. In addition, we find that Klein tunnelling is attenuated in the presence of the induced mass-term which can improve the carriers confinement in such configurations. Our findings provide possible experimental measurements to determine the interlayer coupling and the induced mass terms in graphene bilayer based on conductance and band structure measurements.PACS numbers:

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Band tunneling through double barrier in biased graphene bilayer

Cited by 18 publications

References 37 publications

Electron collimation at van der Waals domain walls in bilayer graphene

Electron collimation at van der Waals domain walls in bilayer graphene

Transport Properties in Gapped Bilayer Graphene

Substrate effects on transport properties of a biased AA-stacked bilayer graphene

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