Tunneling of Graphene Massive Dirac Fermions Through a Double Barrier

Bahlouli, H.; Choubabi, El Bouâzzaoui; Jellal, Ahmed; Mekkaoui, Miloud

doi:10.1007/s10909-012-0643-2

Cited by 19 publications

(18 citation statements)

References 22 publications

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“…It is clearly seen that in the energy spectrum of the jth strained region (Equation (9)), the component k y d of the wave vector is shifted by δτ j compared to that of the pristine graphene. This behavior was already encountered in our previous work, [13] where we had a magnetic field that also shifted the wave vector k y by d…”

Section: Theoretical Modelsupporting

confidence: 76%

“…It is clearly seen that in the energy spectrum of the j th strained region (Equation ), the component

k_{y} d

of the wave vector is shifted by

δ τ_{j}

compared to that of the pristine graphene. This behavior was already encountered in our previous work, where we had a magnetic field that also shifted the wave vector

k_{y}

\frac{d}{l_{B}^{2}}

;

l_{B} = 1 / \sqrt{B_{0}}

is the magnetic length and

B_{0}

is the strength of the magnetic field. Hence, from this behavior we can say that the deformation (strain effect) behaves like an effective magnetic field, and the two shifts play the role of a mass term.…”

Section: Theoretical Modelmentioning

confidence: 82%

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Tunneling through Double Electrostatic Barriers in Strained Graphene

Choubabi

Jellal

Kamal

et al. 2019

Physica Status Solidi (b)

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Herein, the electronic structure of Dirac fermions scattered by double barrier potential in graphene under strain effect is studied. It is shown that traction and compression strains can be used to generate fermion beam collimation, 1D transport channels, surface states, and confinement. The corresponding transmission probability and conductance at zero temperature are calculated and their numerical computations are performed taking into account various alterations of physical parameters, enabling the analysis of some important features of the system. It is shown that the transmissions satisfy three symmetry relations depending on the incident angle and strain parameters, while the conductance is reduced compared to that of the strained single barrier.

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Section: Theoretical Modelsupporting

confidence: 76%

“…It is clearly seen that in the energy spectrum of the j th strained region (Equation ), the component

k_{y} d

of the wave vector is shifted by

δ τ_{j}

compared to that of the pristine graphene. This behavior was already encountered in our previous work, where we had a magnetic field that also shifted the wave vector

k_{y}

\frac{d}{l_{B}^{2}}

;

l_{B} = 1 / \sqrt{B_{0}}

is the magnetic length and

B_{0}

Section: Theoretical Modelmentioning

confidence: 82%

Tunneling through Double Electrostatic Barriers in Strained Graphene

Choubabi

Jellal

Kamal

et al. 2019

Physica Status Solidi (b)

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“…Indeed, Figure 3(b) illustrates a particular case of a linear barrier (V 0 = 20, V 1 = 0) studied in our previous work [18] where transmission corresponding to the Klein zone is omitted and transmission oscillates around a minimum, then it behaves in the same way as shown in 3(a). Figure 3(c) presents the case of a simple square barrier V 0 → V 1 = 30 where the Klein zone is conserved and transmission corresponding to energies V 1 − 2k y ≤ E ≤ V 0 + 2k y is replaced by another in range V 1 − k y ≤ E ≤ V 1 + k y without oscillations [24]. Finally, we observe that In Figures 4 we present the three channel transmissions together with total one (summation over three channels) versus incident energy E for α = 0.3, α = 0.6 and α = 0.9.…”

Section: Numerical Resultsmentioning

confidence: 99%

Transmission in graphene through time-oscillating linear barrier

2019

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Transmission probabilities of Dirac fermions in graphene under linear barrier potential oscillating in time are investigated. Solving Dirac equation we end up with the solutions of the energy spectrum depending on several modes coming from the oscillations. These will be used to obtain a transfer matrix that allows to determine transmission amplitudes of all modes. Due to numerical difficulties in truncating the resulting coupled channel equations, we limit ourselves to low quantum channels, i.e. l = 0, ±1, and study the three corresponding transmission probabilities.

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“…Based on previous investigations of Dirac fermions and in particular our recent work [17][18][19], where we developed our approach to deal with graphene double barrier structures, in the present work we analyze the GHL shifts by considering Dirac fermions in the presence of an electrostatic potential placed between two regions composing the graphene sheet. For general purposes, we consider the potential configuration depicted in Figure 1 rather than that used in [12].…”

Section: Introductionmentioning

confidence: 99%

Goos–Hänchen like shifts in graphene double barriers

Jellal

Redouani

Zahidi

et al. 2014

Physica E: Low-dimensional Systems and Nanostructures

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We study the Goos-Hänchen like shifts for Dirac fermions in graphene scattered by double barrier structures. After obtaining the solution for the energy spectrum, we use the boundary conditions to explicitly determine the Goos-Hänchen like shifts and the associated transmission probability. We analyze these two quantities at resonances by studying their main characteristics as a function of the energy and electrostatic potential parameters. To check the validity of our computations we recover previous results obtained for a single barrier under appropriate limits.

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Tunneling of Graphene Massive Dirac Fermions Through a Double Barrier

Cited by 19 publications

References 22 publications

Tunneling through Double Electrostatic Barriers in Strained Graphene

Tunneling through Double Electrostatic Barriers in Strained Graphene

Transmission in graphene through time-oscillating linear barrier

Goos–Hänchen like shifts in graphene double barriers

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