Classical trajectories in quantum transport at the band center of bipartite lattices with or without vacancies

Physics – Condensed Matter – Mesoscale and Nanoscale Physics

Scientific paper

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5 pages, 5 figures

Scientific paper

10.1103/PhysRevB.69.201405

Here we report on several anomalies in quantum transport at the band center of a bipartite lattice with vacancies that are surely due to its chiral symmetry, namely: no weak localization effect shows up, and, when leads have a single channel the transmission is either one or zero. We propose that these are a consequence of both the chiral symmetry and the large number of states at the band center. The probability amplitude associated to the eigenstate that gives unit transmission ressembles a classical trajectory both with or without vacancies. The large number of states allows to build up trajectories that elude the blocking vacancies explaining the absence of weak localization.

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