Zero, positive and negative quantum Goos–Hänchen shifts in graphene barrier with vertical magnetic field

Jellal, Ahmed; Wang, Yunhua; Zahidi, Youness; Mekkaoui, Miloud

doi:10.1016/j.physe.2014.12.006

Cited by 11 publications

(10 citation statements)

References 26 publications

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“…Usually, the absorption and transmission of the two optical materials must be weak enough to allow a reflected beam to be formed. Since its discovery, the beam spatial shift at total reflection suspected by Newton's corpuscular theory has been extended to other fields of physics, such as quantum mechanics, plasma physics, acoustics [16], metamaterial [17], neutron physics [18] and graphene [19][20][21]. The Quantum version of the GH shifts is an analogue to the optical GH one, which is referred to a lateral shift between the reflected and incident beams occurring at the interface of two different materials on total internal reflection.…”

Section: Introductionmentioning

confidence: 99%

Goos–Hänchen shifts in AA-stacked bilayer graphene superlattices

Zahidi

Redouani

Jellal

2016

Physica E: Low-dimensional Systems and Nanostructures

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The quantum Goos-Hänchen shifts of the transmitted electron beam through an AA-stacked bilayer graphene superlattices is investigated. We found that the band structures of graphene superlattices can have more than one Dirac point, their locations do not depend on the number of barriers. It was revealed that any n-barrier structure is perfectly transparent at normal incidence around the Dirac points created in the superlattices. We showed that the Goos-Hänchen shifts display sharp peaks inside the transmission gap around two Dirac points (E = V B + τ , E = V W + τ ), which are equal to those of transmission resonances. The obtained Goos-Hänchen shifts are exhibiting negative as well as positive behaviors and strongly depending on the location of Dirac points. It is observed that the maximum absolute values of the shifts increase as long as the number of barriers is increased. Our analysis is done by considering four cases: single, double barriers, superlattices without and with defect.

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Section: Introductionmentioning

confidence: 99%

Goos–Hänchen shifts in AA-stacked bilayer graphene superlattices

Zahidi

Redouani

Jellal

2016

Physica E: Low-dimensional Systems and Nanostructures

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“…We have showed that the numerical results generated by the Poincar map are in complete agreement with the analytical results. In the second one [11], we have explored the zero, positive and negative quantum GH shifts of the transmitted Dirac carriers in graphene through a potential barrier with vertical magnetic field. Numerical results show that only one energy position at the zero GH shift exists and is highly dependent on the y-directional wave vector, the energy gap, the magnetic field and the potential.…”

Section: Introductionmentioning

confidence: 99%

“…Motivated by our previous work [10,11], we consider Dirac fermions in graphene subjected to a linear barrier potential and study the GH shifts. From the solution of the energy spectrum we show how to derive the GH shifts as function of different physical parameters based on the phase shifts in transmission and reflection.…”

Section: Introductionmentioning

confidence: 99%

Goos-Hänchen shifts in graphene-based linear barrier

Mekkaoui¹,

Kinani²,

Jellal³

2019

Mater. Res. Express

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Using the energy spectrum of a system made of graphene subjected to a linear barrier potential, we study the Goos-Hänshen shifts. The calculation is done by first determining the corresponding phase shifts via the transmission and reflection probabilities. Numerical analysis shows that the Goos-Hänshen shifts depend strongly on the incident energy, barrier height and width, and vary positively or negatively under suitable conditions.

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“…Very recently, the GHL shifts for Dirac fermions in graphene scattered by double barrier structures have been studied in [13]. Moreover, in [14] we have explored the zero, positive and negative quantum GHL shifts of the transmitted Dirac carriers in graphene through a potential barrier with vertical magnetic field. Numerical results show that only one energy position at the zero GHL shift exists and is highly dependent on the y-directional wave vector, the energy gap, the magnetic field and the potential.…”

Section: Introductionmentioning

confidence: 99%

Transmission and Goos-Hänchen like shifts through a graphene double barrier in an inhomogeneous magnetic field

2016

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We studied the transport properties of electrons in graphene as they are scattered by a double barrier potential in the presence of an inhomogeneous magnetic field. We computed the transmission coefficient and Goos-Hänchen like shifts for our system and noticed that transmission is not allowed for certain range of energies. In particular, we found that, in contrast to the electrostatic barriers, the magnetic barriers are able to confine Dirac fermions. We also established some correlation between the electronic transmission properties of Dirac fermions with the Goos-Hänchen like shifts, as reflected in the numerical data.

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Zero, positive and negative quantum Goos–Hänchen shifts in graphene barrier with vertical magnetic field

Cited by 11 publications

References 26 publications

Goos–Hänchen shifts in AA-stacked bilayer graphene superlattices

Goos–Hänchen shifts in AA-stacked bilayer graphene superlattices

Goos-Hänchen shifts in graphene-based linear barrier

Transmission and Goos-Hänchen like shifts through a graphene double barrier in an inhomogeneous magnetic field

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