Quantum transport in graphene nanoribbon networks: complexity reduction by a network decimation algorithm

We study electronic quantum transport in graphene nanoribbon (GNR) networks on mesoscopic length scales. focus zigzag GNRs and investigate the conductance properties of statistical networks. To this end we use a density-functional-based tight-binding model to determine structure theory calculate properties. then introduce new efficient network decimation algorithm that reduces complexity generic three-diemnsional GNR compare our results semi-classical calculations based nodal analysis approach discuss dependence density size. show cannot reproduce nor their parameters well. Thus, solving by is mandatory for accurate modelling electron through