In model of parabolic potentials taken into account the anisotropy of effective mass of current carriers it is calculated electroconductivity of quantum wires in the homogeneous magnetic field, directed along a surface of the size-limited system, and field perpendicular to axis of spatial quantization. Temperature and field dependences of conductivity for nondegenerated and degenerated quantum quasy one-dimensional systems are investigated. The received results for electroconductivity are compared to experimental data [1].The features of electroconductivity, arising in quantum systems with the lowered dimension are in detail discussed. In particular it is shown, that in a perpendicular magnetic field conductivity in systems with the lowered dimension in a quantum limit ω_cτ >>1 (ω_c- cyclotron frequency, 1/τ it is determined by probability of carriers scattering on acoustic oscillations) can be much more, than in bulk semi-conductor systems. This circumstance can appear one of the possible reasons of sharp increase in electroconductivity in the perpendicular magnetic field, experimentally observed in quantum wires Bi [1] with thickness about <100nm.
[1]. A. Nikolaeva, D. Gitsu, T. Huber and L. Konopko. Physica B: Condensed Matter, Volumes 346-347, 30 April 2004, Pages 282-286.
The work was supported by the Civilian Research Defense Corporation, CGP- grant # MO-E1-2603-SI-04.

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1. THERMOELECTRIC PROPERTIES OF QUANTUM BI WIRE DOPED WITH SN AT ELECTRON TOPOLOGICAL TRANSITIONS INDUCED BY STRETCH AND DOPING