Transport of the graphene electrons through a magnetic superlattice

Wu, Quansheng; Zhang, Sheng Nan; Yang, Shuhua

doi:10.1088/0953-8984/20/48/485210

Cited by 32 publications

(16 citation statements)

References 26 publications

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“…Above mentioned time independent problem was studied earlier by different groups of authors [55][56][57] . It is worth mentioning that the energy dependent transmission under the laser free condition is highly oscillatory in nature (due to the Fabry-Perot (FP) resonance) with the amplitude of oscillation damped monotonically while maintaining the perfect transmission In order to apprehend the effect of the external laser field, we display in Fig.2 (b) the T c for ω = 1 and F = 1 (other parameters same as Fig.…”

Section: Resultsmentioning

confidence: 99%

“…Quantum bound states were already predicted 8,10 for a magnetic step and for magnetic barriers of finite width, but none for δ-function barriers. However, it was reported that quasi-bound states exist between two consecutive δ-function magnetic barriers [55][56][57] . In this context, the present article aims at studying the effect of an external laser field on these quasi-bound states (between two delta function magnetic barriers with zero net magnetization) from the analysis of the Floquet transmission spectra obtained through the non perturbative approximation.…”

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confidence: 99%

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Beating oscillation and Fano resonance in the laser assisted electron transmission through graphene δ-function magnetic barriers

Biswas¹,

Maity²,

Sinha

2016

Physica E: Low-dimensional Systems and Nanostructures

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Section: Resultsmentioning

confidence: 99%

mentioning

confidence: 99%

Beating oscillation and Fano resonance in the laser assisted electron transmission through graphene δ-function magnetic barriers

Biswas¹,

Maity²,

Sinha

2016

Physica E: Low-dimensional Systems and Nanostructures

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“…When graphene is subjected to a slowly varying nanoscale external periodic scalar or vector potential, the quasiparticles in graphene show even more interesting physics. Recently, there have been several studies on the electronic properties of graphene under either a periodic scalar potential [2,3,4,5,6,7,8,9,10,11], under a periodic vector potential [12,13,14,15,16,17,18], or under a periodic corrugation [19,20,21].…”

Section: Introductionmentioning

confidence: 99%

Theory of the electronic and transport properties of graphene under a periodic electric or magnetic field

Park¹,

Tan²,

Louie³

2011

Physica E: Low-dimensional Systems and Nanostructures

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We discuss the novel electronic properties of graphene under an external periodic scalar or vector potential, and the analytical and numerical methods used to investigate them. When graphene is subjected to a one-dimensional periodic scalar potential, owing to the linear dispersion and the chiral (pseudospin) nature of the electronic states, the group velocity of its carriers is renormalized highly anisotropically in such a manner that the velocity is invariant along the periodic direction but is reduced the most along the perpendicular direction. Under a periodic scalar potential, new massless Dirac fermions are generated at the supercell Brillouin zone boundaries. Also, we show that if the strength of the applied scalar potential is sufficiently strong, new zero-energy modes may be generated. With the periodic scalar potential satisfying some special conditions, the energy dispersion near the Dirac point becomes quasi one-dimensional. On the other hand, for graphene under a one-dimensional periodic vector potential (resulting in a periodic magnetic field perpendicular to the graphene plane), the group velocity is reduced isotropically and monotonically with the strength of the potential.

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“…Thus, in the region II ( , Now, for the case of a constant vector potential ( Fig. 1(d)) in the region II (producing a pair of two oppositely directed and specially separated) δ-function magnetic barriers [24][25][26][27] , the corresponding solutions may be given by and (8) with .…”

Section: Theoretical Modelmentioning

confidence: 99%

Electron transmission through a periodically driven graphene magnetic barrier

Biswas¹,

Maiti²,

Mukhopadhyay³

et al. 2017

Physics Letters A

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The kinetic transport of electrons through graphene magnetic barriers is studied theoretically in presence of an external time harmonic scalar potential. The transmission coefficients are calculated in the framework of the non-perturbative Floquet theory using transfer matrix method. The time dependent scalar potential is found to suppress the usual Fabry-Perot oscillations occurring in the transmission through a constant vector potential barrier (corresponding to two oppositely directed δ-function magnetic barriers). Two types of asymmetric Fano resonances (FR) are noted and are discussed for the narrow barrier structure. One of them arises due to the oscillatory mode while the other due to the evanescent mode of the electron wave inside the barrier. In contrast, the oscillating field favours the transmission for rectangular magnetic barrier structure and also exhibits the FR due to the presence of bound state inside the barrier. The characteristic Fano line shape can be tuned by varying the amplitude of the oscillating potential. The detection of such FRs' offers an efficient tool for the identification of the quasi-bound and evanescent extended states inside the barrier not reported in the literature so far, for the case of graphene magnetic barrier structures.

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Transport of the graphene electrons through a magnetic superlattice

Cited by 32 publications

References 26 publications

Beating oscillation and Fano resonance in the laser assisted electron transmission through graphene δ-function magnetic barriers

Beating oscillation and Fano resonance in the laser assisted electron transmission through graphene δ-function magnetic barriers

Theory of the electronic and transport properties of graphene under a periodic electric or magnetic field

Electron transmission through a periodically driven graphene magnetic barrier

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