Carrier statistics model for a bilayer graphene nanoribbon in the nondegenerate regime

This paper focuses on the electronic transport properties of bilayer Graphene nanoribbons (BGNRs). The electronic transport of two dimensional AB stacked BGNRs with widths less than 10 nm is investigated. Due to the small width, the BGNR can be assumed to operate as a one dimensional device. A mathematical model of carrier concentration in BGNRs in the nondegenerate regime is presented. The model shows that in this regime the carrier statistics of BGNRs can be expressed by an exponential function of the normalized Fermi energy η, which is particularly useful in the lower carrier concentration regions.