Electron transport in graphene/h-BN lateral hybrids: Rhombus and bowtie domains

Electron transport in graphene/h-BN lateral hybrids with rhombus and bowtie domains is investigated. We apply non-equilibrium Green's function method under tight binding approximation to calculate electrical transmission in mentioned hybrid monolayers. Our findings reveal the importance of size and shape of doped regions in the transport through hybrid systems. Generally, we find that boron and nitrogen doping in zigzag graphene nanoflake, with both rhombus and bowtie patterns, improves its conductance. Growing size of the doped segments, in fixed system size, leads to a stable conductance level. Moreover, carbon doping in h-BN can also make a tunable semiconducting behavior. In the latter case, when the system size is kept constant, enlarging the doped carbon domains exponentially rise up the transmission.