Y. Takagaki et K. Ploog, QUANTUM TRANSMISSION IN AN OUT-OF-PLANE CROSSED-WIRE JUNCTION, Physical review. B, Condensed matter, 48(15), 1993, pp. 11508-11511
We have investigated numerically the quantum transmission properties o
f an electron in a cross junction of two out-of-plane wires. One elect
ron waveguide is placed on top of the other and the coupling between t
hem takes place in the direction perpendicular to the orthogonal wire
axes. We find that the transmission exhibits resonant structures due t
o quasibound states in the intersection region even if the device cons
ists of straight waveguides. This is in contrast to the conventional t
wo-dimensional in-plane crossed-wire junction, in which an incident mo
de does not couple with the bound states. Over a large energy range in
the single-mode regime, the transmission into the side lead is found
to be absent, resulting in a divergence of the bend resistance.