1996/10/16 by J. Fricke, V. Meden, C. Wohler +3 · 1 citation
Chemistry · Materials Science · Physics and Astronomy · #Advanced Physical and Chemical Molecular Interactions #Quantum and electron transport phenomena #Thermal properties of materials #cond-mat.stat-mech
paper · pdf · doi:10.1006/aphy.1997.5623
published as Ann. Phys. (N.Y.) 253 (1997) 177 · 20 pages, 15 Postscript figures, uses RevTeX, to be published in: Annals of Physics (N.Y.)
arxiv created 1996/10/16 · openalex publication_date 1997/01/01 · arxiv updated 2009/11/30 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/28
We study transport equations for quantum many-particle systems in terms of correlations by applying the general formalism developed in an earlier paper to exactly soluble electron-phonon models. The one-dimensional models considered are the polaron model with a linear energy dispersion for the electrons and a finite number of electrons and the same model including a Fermi sea (Tomonaga-Luttinger model). The inclusion of two-particle correlations shows a significant and systematic improvement in comparison with the usual non-Markovian equations in Born approximation. For example, the improved equations take into account the renormalization of the propagation by the self-energies to second order in the coupling.