Tunnelling through finite graphene superlattices: resonance splitting effect
arXiv:1411.6806 · doi:10.1088/0953-8984/27/9/095302
Abstract
An exact expression of the transmission probability through a finite graphene superlattice with an arbitrary number of potential barriers is derived in two cases of the periodic potential: rectangular electric potential and -function magnetic potential. Obtained transmission probabilities show two types of resonance energy: barrier-induced resonance energies unchanged as varies and well-induced resonance energies undergone the -fold splitting as 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.
arXiv comment21 pages, 6 figures
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