Driven flow with exclusion and transport in graphene-like structures

Abstract

The totally asymmetric simple exclusion process (TASEP), a well-known model in its strictly one-dimensional (chain) version, is generalized to cylinder (nanotube) and ribbon (nanoribbon) geometries. A mean-field theoretical description is given for very narrow ribbons ("necklaces"), and nanotubes. For specific configurations of bond transmissivity rates, and for a variety of boundary conditions, theory predicts equivalent steady state behavior between (sublattices on) these structures and chains. This is verified by numerical simulations, to excellent accuracy, by evaluating steady-state currents. We also numerically treat ribbons of general width. We examine the adequacy of this model to the description of electronic transport in carbon nanotubes and nanoribbons, or specifically-designed quantum dot arrays.

RevTeX, 13 pages, 9 figures (published version)

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• The electronic properties of graphene
• Nonequilibrium Steady States of Matrix Product Form: A Solver's Guide
• Perfectly Conducting Channel and Universality Crossover in Disordered Nano-Graphene Ribbons
• Conditional operation of a spin qubit
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Cited by in corpus (4)

• Dynamics of non-Markovian exclusion processes
• Domain wall theory and non-stationarity in driven flow with exclusion
• Dynamics of driven flow with exclusion in graphene-like structures
• Driven flow with exclusion and spin-dependent transport in graphenelike structures