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Theory of transmittance of narrow quantum wires intersection in 2D systems

Abstract

The transmittance of intersection between narrow quantum strips is studied. It is assumed that strip widths are less than the electron wavelength, so that they are tunnel conductors. In this assumption the Schr\"odinger equation is reduced to the Laplace one, which can be solved by the conformal mappings. The transmittances of T-like and X-like wire crossings are found.

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