Abstract
The general expressions for transmission probability and resonant peaks in one-dimensional N-periods graphene superlattice with unit cell of two barriers and two wells are analytically derived, and two types of resonant peaks are obtained: (1) the periodicity induced resonant peaks splitting of (N − 1)-fold as N increases; and (2) the resonant peak through a unit cell unchanged as N varies. As the two-barriers in unit cell become asymmetric, the resonance transmission probability of unit cell becomes imperfect (T1 < 1), which drops quickly with the unit asymmetry increases. Thus, the unit cell related resonant peak could only be observed in superlattices with less unit cell asymmetry of a few of period numbers. With the period increases, the unit related resonant peak disappears and only periodicity induced (N − 1)-fold splitting remains. The splitting rule is further confirmed by the conductance and noise versus the incident energy and the misunderstandings in publication domain is cleared up.
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This work was supported by the State Key Laboratory of Software Development Environment (Grant No. SKLSDE-2016ZX-05).
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Xu, H.Z., Feng, S. & Zhang, Y. Resonant peak splitting in finite periodic superlattices with an unit cell of two barriers and two wells on monolayer graphene. Opt Quant Electron 51, 158 (2019). https://doi.org/10.1007/s11082-019-1873-1
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DOI: https://doi.org/10.1007/s11082-019-1873-1