Chaotic dynamics of instable nanoelectron systems (millimeter wave band simulating)

The goal of the report is to pay attention to an opportunity of unstable nanoelectron systems simulating by macroscopic quasioptical devices of millimeter wave band. The mesoscopic metal clusters, semi-conductor quantum dots and rings, which sizes about 100 nm, containing bulk inhomogeneities or rough borders, are belonged to such systems. These objects due to the finite character of electron motion named as instable "quantum billiards". In "quantum billiard", not containing inhomogeneities the electronic spectrum is discrete, and the own states are stability. However, character of a spectrum and stability of a system state are rather sensitive, frequently critically, to various sorts random inhomogeneities, both in volume of structure, and on its border. These inhomogeneities cause the instability in electron motion, which can result to chaotization of an energy spectrum, and, thus, to affect the basic physical properties of a system. From here it is visible, that the study of the character of an electron spectrum enables to test of nanostructure from the point of view of its use in semi-conductor devices. The nanoelectron system simulating by quasioptical microwave resonators of the millimeter wave band allows to clear in details the influence of structure inhomogeneities on the "quantum billiard" spectrum and to find out the basic mechanisms resulting in instability of electron system and the spectrum chaotization. The opportunity of nanoelectron structures stimulating by quasioptical microwave resonators is based on the following. Though the vector Helmholtz equation, describing oscillations in such resonators is not strictly equivalent to the scalar Shrodinger equation for mesoscopic structure, between the solution of these equations in quasioptical approximation, there is a certain conformity.