Published in:
Physical Review E 70,6 (2004) 066142;
Link to original published article:
http://dx.doi.org/10.1103/PhysRevE.70.066142
Abstract
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 occurring 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.
Keywords
percolation
Date of this Version
January 2004
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