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Quantum interference effects in particle transport through square lattices

By E. Cuansing and H. Nakanishi


We study the transport of a quantum particle through square lattices of various sizes by employing the tight-binding Hamiltonian from quantum percolation. Input and output semi-infinite chains are attached to the lattice either by diagonal point to point contacts or by a busbar connection. We find resonant transmission and reflection occuring whenever the incident particle's energy is near an eigenvalue of the lattice alone (i.e., the lattice without the chains attached). We also find the transmission to be strongly dependent on the way the chains are attached to the lattice.Comment: 4 pages, 6 figures, submitted to Phys. Rev.

Topics: Condensed Matter - Statistical Mechanics, Condensed Matter - Mesoscale and Nanoscale Physics
Publisher: 'American Physical Society (APS)'
Year: 2004
DOI identifier: 10.1103/PhysRevE.70.066142
OAI identifier:

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