Electrostatic and substrate-based monolayer graphene superlattices: Energy minibands and its relation with the characteristics of the conductance curves

Fibonacci quasiregular graphene-based superlattices: Quasiperiodicity and its effects on the transmission, transport and electronic structure properties

“…In these graphs the first and second columns correspond to electrostatic and substrate graphene structures, while the first and second rows represent PGSs and FGSs. As we can see the typical transmission contours of GSLs are obtained for PGSs [52]. This is, semi-circular regions of high transmission bounded by regions of low transmission and transmission gaps are presented for electrostatic and substrate PGSs, respectively.…”

“…As in the transmission properties, the main effect of quasi-periodicity is to decrease the number of subbands, see Figs. 7b and d and 8b and d. This reduction changes the start, end, closure and degeneration of the energy minibands as compared with the periodic case [52]. As in the periodic case the peaks in the conductance correlate quite well with the start and end of the minibands, while the degeneration and degeneration-closure contribute to form of the peaks [52].…”

“…7b and d and 8b and d. This reduction changes the start, end, closure and degeneration of the energy minibands as compared with the periodic case [52]. As in the periodic case the peaks in the conductance correlate quite well with the start and end of the minibands, while the degeneration and degeneration-closure contribute to form of the peaks [52]. It is important to mention that if we change the parameters of our systems the transmission, transport and electronic structure properties change as well.…”

“…We consider this kind of barriers because they are opposite, one (electrostatic case) in which Klein tunneling is presented and the other (substrate case) in which it is ruled out. Following the lines of our previous works [51][52][53], the main concern of this study is to find out how aperiodic modulation affects the intrinsic oscillatory nature of the linear-regime conductance in graphene as well as how these oscillations are correlated with the energy level structure, and what is the role played by Klein tunneling.…”

Angle-dependent bandgap engineering in gated graphene superlattices

“…53,54 Once these quantities are known, we can apply the continuity conditions of the wave function along the superlattice axis as well as the consevation of the transversal momentum (k y = q y ), and define the transmission probability in terms of the so-called transfer matrix,…”