This article is cited in 23 papers

Ballistic transport in nanostructures: explicitly solvable models

V. A. Geiler^a, I. Yu. Popov<sup>b

a</sup> Mordovian State University
^b St. Petersburg State University of Information Technologies, Mechanics and Optics

Abstract: A relatively wide class of explicitly solvable models of the ballistic transport in nanostructures is constructed by means of operator extension theory. In the obtained models the transmission coefficient $T(E)$ has a simple dependence on the modeled device parameters as well as on the parameters of an external magnetic field. Some exemples of quantum point models are given, in which $T(E)$, and hence the conductance, exhibits an oscillatory behaviour.

Received: 16.06.1996

DOI: 10.4213/tmf1134

 English version: Theoretical and Mathematical Physics, 1996, 107:1, 427–434

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