The Quantum Theory of Conductivity of Spatially - Heterogeneous Systems

Details The Quantum Theory of Conductivity of Spatially - Heterogeneous Systems The Quantum Theory of Conductivity of Spatially - Heterogeneous Systems

2002-12-22

arxiv.org/abs/cond-mat/0212549v1

Physics

Condensed Matter

Mesoscale and Nanoscale Physics

18 pages, JETP, accepted for publication

Scientific paper

10.1134/1.1560399

The quantum theory of conductivity of semiconductor objects, to which the quantum wells, wires and dots concern, is constructed. Average values of current and charge densities, induced by a weak electromagnetic field, are calculated. It is shown, that in both cases average current and charge densities contain two contributions, first of which is expressed through electric field, and second - through a spatial derivative of electric field. Appropriate expressions for the conductivity tensor, dependent on coordinates and applicable to any spatially-heterogeneous systems, are deduced. The results may be used in the theory of secondary light radiation from low-dimensional objects in cases of monochromatic light and light pulses.

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