Abstract
The standard relaxation-time approximation is modified in such a way that local particle-number conservation is guaranteed. The correct relaxational behavior towards local equilibrium is discussed for a single-band model and subsequently extended to the multiple-band case. For the latter one the dielectric response is calculated from a Boltzmann equation which includes both intraband and interband effects. In the hydrodynamic limit the dielectric response exhibits a diffusion pole as well as a relaxation pole determined by the interband scattering rate only. Furthermore, it is shown that the structure of the multiple-band Boltzmann equation derived on a phenomenological basis is supported by microscopic transport theory.
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Work supported by the Swiss National Science Foundation.
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Kragler, R., Thomas, H. Dielectric function in the relaxation-time approximation generalized to electronic multiple-band systems. Z. Physik B - Condensed Matter 39, 99–107 (1980). https://doi.org/10.1007/BF01301514
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DOI: https://doi.org/10.1007/BF01301514