Nonlocal transport in Fibonacci superconducting silicene superlattices

Enhanced electron transport and self-similarity in quasiperiodic borophene nanoribbons with line defects

“…Note that although the electron transport in both quasiperiodic graphene and silicene superlattices has been widely investigated, [57][58][59][60][61][62] the width effect is neglected because all these superlattices are described by the massless Dirac Hamiltonian. In contrast, the quasiperiodic BNRs are described by the tight-binding Hamiltonian in eqn (1), which allows us to consider the width effect.…”

“…This is different from the previous Fibonacci model where all the electronic states are critical. 40,[49][50][51][52][53][54][55][56][57][58][59][60][61][62] (ii) The {1, 21} BNR will present excellent conducting ability for N = 5 and 20 because of the blank area around the Fermi level E F = 0 [Fig. 2(a) and (c)].…”

“…Therefore, we conclude that the energy spectra of the quasiperiodic BNRs are multifractal, complementing previous quasiperiodic models whose potential energies are generated following, e.g., the Fibonacci sequence. [49][50][51][52][53][54][55][56][57][58][59][60][61][62][63][64] In particular, both delocalized and critical electronic states exist in the quasiperiodic BNRs, in contrast to the Fibonacci model and quasiperiodic graphene superlattices which only possess critical states. [49][50][51][52][53][54][55][56][57][58][59][60][61][62] B. Self-similarity of quasiperiodic BNRs Finally, we investigate whether the important characteristic of self-similarity still holds in the quasiperiodic BNRs.…”

“…In contrast to m = 1, this self-similarity occurs between two quasiperiodic BNRs when the Fibonacci index difference is two and is thus called the two-cycle behavior for m = 2, which has not yet been reported in quasiperiodic graphene or silicene superlattices. [57][58][59][60][61][62] Additionally, one finds that the [0.012t, 0.018t] energy region is about thirty times wider than the [0.0146t, 0.0148t] one [Fig. 4(a)], while the other region [−0.018t, −0.013t] is approximately seven times as large as the [−0.0156t, −0.0149t] one [Fig.…”

“…51,52 Besides, the Fibonacci model has also been studied theoretically in other systems, such as quantum dots 53 and double-stranded DNA. [54][55][56] In particular, both quasiperiodic graphene and silicene superlattices have been constructed by manipulating external gate voltages and their electron transport properties have been investigated theoretically, [57][58][59][60][61][62] finding that the graphene superlattices possess a Cantor-like energy spectrum with tunable bandgaps. [57][58][59] Note that all these quasiperiodic systems are implemented by modulating the potential energies according to quasiperiodic sequences, e.g.…”