Ballistic transport through a two-dimensional cross junction is chaotic. The classical transmissivity, from which total transmission coefficients are obtained, exhibits self-similar regions of high transparency about a hierarchy of injection angles, αN. These geometrical channels dominate the phase space of possible exits from the junction. Long dwell times within the junction, a manifestation of irregular scattering, strongly enhance the role of random processes in real devices.
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Roukes et al. (1990) studied this question.
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