Quantum transport equations for low-dimensional multiband electronic systems. I

Abstract

A systematic method of calculating the dynamical conductivity tensor in a general multiband electronic model with strong boson-mediated electron-electron interactions is described. The theory is based on the exact semiclassical expression for the coupling between valence electrons and electromagnetic fields and on the self-consistent Bethe--Salpeter equations for the electron-hole propagators. The general diagrammatic perturbation expressions for the intraband and interband single-particle conductivity are determined. The relations between the intraband Bethe--Salpeter equation, the quantum transport equation and the ordinary transport equation are briefly discussed within the memory-function approximation. The effects of the Lorentz dipole-dipole interactions on the dynamical conductivity of low-dimensional $s{p}_{\alpha }$ models are described in the same approximation. Such formalism proves useful in studies of different (pseudo)gapped states of quasi-one-dimensional systems with the metal-to-insulator phase transitions and can be easily extended to underdoped two-dimensional high-$T_c$ superconductors.

13 pages, 10 figures

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• Using surface plasmonics to turn on fullerene's dark excitons
• Carrier concentrations and optical conductivity of a band-inverted semimetal in two and three dimensions
• Effective numbers of charge carriers in doped graphene: The generalized Fermi liquid approach