Goos–Hänchen shifts in AA-stacked bilayer graphene superlattices

Zahidi, Youness; Redouani, Ilham; Jellal, Ahmed

doi:10.1016/j.physe.2016.03.022

Cited by 14 publications

(4 citation statements)

References 37 publications

(66 reference statements)

Supporting

Mentioning

Contrasting

Order By: Relevance

“…We observe that the transmission is bilaterally symmetrical with respect to the normal incidence, i.e. k y = 0, and exhibits a behavior similar to that observed for Dirac particle in graphene [24][25][26].…”

Section: Transmission and Conductancesupporting

confidence: 73%

“…T is plotted for d = 3 Å (red line), 15 Å (blue line), 20 Å (green line), 25 Å (black line) in Figure 4(a) for E = 6 (red line), 7 (blue line) and 8 eV (green line) in Figure 4(b).We observe that the transmission is bilaterally symmetrical with respect to the normal incidence, i.e. k y = 0, and exhibits a behavior similar to that observed for Dirac particle in graphene[24][25][26].It is important to note that in the case of graphene in the absence of a magnetic field, the perfect transmission situation appears very clearly in the case k y = 0 (signature of Klein tunneling), which is not the case in our system made of phosphorene. As shown in Figure4(a), the transmission through thin barriers is negligible compared to that for large d, such behavior is similar to that seen for the transmission thought a single barrier in monolayer phosphorene[20].…”

supporting

confidence: 69%

See 1 more Smart Citation

Tunneling Effect in Gapped Phosphorene through Double Barriers

Seffadi,

Redouani,

Zahidi

et al. 2021

Preprint

Self Cite

View full text Add to dashboard Cite

We study the transport properties of charge carriers in phosphorene with a mass term through double barriers. The solutions of the energy spectrum are obtained and the dependence of the eigenvalues on the barrier potentials and wave vectors in the x-direction is numerically computed. Using the boundary conditions together with the matrix transfer method, we determine transmission and the conductance of our system. These two quantities are analyzed by studying their main characteristics as a function of the physical parameters along the armchair direction. Our results show the highly anisotropic character of phosphorene and the no signature of Klein tunneling at normal incidence contrary to graphene. Moreover, it is found that the transmission and conductance display oscillatory behaviors in terms of the barrier width under suitable conditions.

show abstract

Section: Transmission and Conductancesupporting

confidence: 73%

supporting

confidence: 69%

Tunneling Effect in Gapped Phosphorene through Double Barriers

Seffadi,

Redouani,

Zahidi

et al. 2021

Preprint

Self Cite

View full text Add to dashboard Cite

show abstract

“…The simplest case is different stacking configurations of bilayer graphene (BLG) which consists of two stacked single layers. Bilayer graphenes have continued to attract significant theoretical interest in recent years [10][11][12][13][14][15][16][17][18][19].…”

Section: Introductionmentioning

confidence: 99%

Chiral limits and effect of light on the Hofstadter butterfly in twisted bilayer graphene

Benlakhouy,

Jellal,

Bahlouli

et al. 2021

Preprint

Self Cite

View full text Add to dashboard Cite

We study the magnetic field induced Hofstadter butterfly in twisted bilayer graphene (TBG) in various kinds of situations. First, we study the equilibrium case and identify the interlayer hopping processes that are most crucial for the appearance of a Hofstadter butterfly. Surprisingly, the hopping processes that are important for the appearance of the Hofstadter butterfly can be categorized as AA stacking type -that is interlayer hoppings between equivalent sublattices. This is in contrast to AB/BA-type hoppings that are important for the appearance of flat bands in magic angle TBG and were discussed in [1]. We also find that if AB-type interlayer-hopping processes are turned off the resulting model is chiral but differs from the model discussed in [1]. Therefore, TBG has two separate chiral limits -one of them is important to understand the formation of flat bands and the other for the Hofstadter butterfly. Taking this as motivation we discuss how the role of AA-type hoppings in combination with lattice relaxation effects can make individual Landau levels slightly harder to resolve in an experimental setting than one would expect from a non-relaxed lattice setting. Finally, we consider the impact of different forms of light on the fractal structure of the butterfly. Particularly, we study the impact of circularly polarized light and longitudinal light originating from a waveguide. As the system is exposed to circularly polarized light we find butterflies with increasingly pronounced asymmetry with respect to energy E = 0. This is due to the introduction of a gap term that breaks the chiral symmetries for both of the two chiral limits mentioned above. Lastly, we study the effect of longitudinal light that can be produced at the exit of a waveguide. Here, we find that no additional terms that break chiral symmetry are introduced. Therefore, it is found to lead to no increase in asymmetry of the energy spectrum. In fact, we identify specific experimentally accessible driving regimes in which the TBG achieves any of the two chiral limits.

show abstract

“…This structure is much more stable and its high-quality samples are developed and studied theoretically and experimentally [9][10][11][12][13]. AA-BLG has a linear energy gapless spectrum with two Dirac cones switched in energy by the quantity γ 1 ≈ 0.2 eV [14], and because of this AA-BLG attained enormous theoretical interest [15][16][17][18][19][20]. Such a structure is expected to be metastable, just lately, stable samples were discovered [21][22][23][24].…”

Section: Introductionmentioning

confidence: 99%

Transport Properties in Gapped Bilayer Graphene

Benlakhouy,

Mouhafid,

Jellal

2021

Preprint

Self Cite

View full text Add to dashboard Cite

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.

show abstract

Goos–Hänchen shifts in AA-stacked bilayer graphene superlattices

Cited by 14 publications

References 37 publications

Tunneling Effect in Gapped Phosphorene through Double Barriers

Tunneling Effect in Gapped Phosphorene through Double Barriers

Chiral limits and effect of light on the Hofstadter butterfly in twisted bilayer graphene

Transport Properties in Gapped Bilayer Graphene

Contact Info

Product

Resources

About