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arXiv · 1411.6806

Tunnelling through finite graphene superlattices: resonance splitting effect

C. Huy Pham·V. Lien Nguyen
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Abstract

An exact expression of the transmission probability through a finite graphene superlattice with an arbitrary number of potential barriers $n$ is derived in two cases of the periodic potential: rectangular electric potential and $δ$-function magnetic potential. Obtained transmission probabilities show two types of resonance energy: barrier-induced resonance energies unchanged as $n$ varies and well-induced resonance energies undergone the $(n - 1)$-fold splitting as $n$ increases. Supported by numerical calculations for various types of graphene superlattices, these analytical findings are assumed to be in equal applied to all of finite graphene superlattices regardless of potential natures [electric or magnetic] as well as potential barrier shapes.

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C. Huy Pham, V. Lien Nguyen. 2014-12-21. Tunnelling through finite graphene superlattices: resonance splitting effect. https://doi.org/10.1088/0953-8984%2F27%2F9%2F095302

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