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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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Wu, Q.S., Zhang, S.N., Yang, S.J.: Transport of the graphene electrons through a magnetic superlattice. J. Phys. Condens. Matter 20, 485210 (2008) CrossRef
Xu, H.Z., Feng, S., Zhang, Y.P., Wang, J.L., Zhang, S.C.: Resonant tunneling though an asymmetrical two-magnetic-barrier structure on single layer graphene. Opt. Quant. Electron. 49, 250 (2017) CrossRef
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H. Z. Xu
- Springer US