Energy spectra of the periodic superlattice based on the gapped graphene

Korol, A. N.; Isai, V. M.; Medvid, N. V.

doi:10.1109/elnano.2014.6873931

Cited by 1 publication

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“…As this procedure is well covered in the literature (see, e.g., Refs. ), we can immediately proceed to analyzing the results obtained.…”

Section: Model and Formulaementioning

confidence: 99%

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Novel version of the Fibonacci superlattices formed of graphene nanoribbons: Transmission spectra

Korol¹,

Litvynchuk

2016

Phys. Status Solidi B

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The energy spectra of a novel version of graphene‐based Fibonacci superlattices (SL) are calculated. A new quasiperiodical factor is considered. The SL is built of graphene nanoribbons (GNR) and the quasi‐periodicity is formed due to the fact that different ribbons are used as individual elements of the SL and are placed along the lattice growth axis in accordance with the Fibonacci inflation rule. In one case, the SL is composed of smooth‐edges and a metal‐like armchair NR, and we propose to use a metal‐like and a semiconductor armchair NR for another case. It is shown that: (i) the difference in values of the quantized transverse quasi‐momentum of electrons for different NR is fully enough to form an effective quasi‐periodic modulation in the given structure (no additional factors are needed), and the range of the ribbon widths for this purpose is determined; (ii) it is important that this range is suitable for practice. We also analyze the dependence of the energy spectra of the studied structure on the geometric parameters of the superlattice as well as on the external electrostatic potential. Attention is drawn, in particular, that in each Fibonacci generation there is the Dirac superlattice gap. Varying the nanoribbons width one can change the spectra investigated flexibly. The conductance of the structure studied is also calculated. The results obtained can be useful in determining the optimum parameters of devices of the graphene‐based nanoelectronics.

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“…As this procedure is well covered in the literature (see, e.g., Refs. ), we can immediately proceed to analyzing the results obtained.…”

Section: Model and Formulaementioning

confidence: 99%

“…The literature widely reported the study of graphene SL of different types: strictly periodic, disordered, lattices with defects, etc. . The quasi‐periodic structures, such as the Fibonacci, the Tew–Morse chains and others, occupy a special place among the graphene structures.…”

Section: Introductionmentioning

confidence: 99%