Quantum Theory of Conductivity of Spatially Inhomogeneous Systems

摘要

Fundamental statistical mechanical method of Bogoliubov-Tyablikov's two-time temperature Green functions (TTTGF) developed by Zubarev and Tserkovnikov (ZT)is generalized to include spatially inhomogeneous systems, and applied to derive a quantum theory of conductivity in spatially inhomogeneous systems with an arbitrary degree of inhomogeneity. While the developed approach is applicable to any non-magnetic macro-, meso-or microscopic system in weak external electromagnetic fields, virtual (I.e., theory-based, computational) synthesis of electronic nanomaterials (semiconductor and metal quantum wells, dots and wires, and nanostructures composed of these objects) are targeted specifically as an immediate application area for the obtained results. Explicit expressions are derived for the linear (in electromagnetic fields) quantum current, dielectric and magnetic susceptibility, and conductivity tensor in terms of the equilibrium (or steady state) charge density- charge density and microcurrent- microcurrent retarded TTTGFs.