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Microscopic Derivation of a Transport Equation for the Acoustic Polaron
Author(s) -
Liu S.,
Sak J.
Publication year - 1990
Publication title -
physica status solidi (b)
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.51
H-Index - 109
eISSN - 1521-3951
pISSN - 0370-1972
DOI - 10.1002/pssb.2221610222
Subject(s) - polaron , vertex (graph theory) , order (exchange) , physics , convection–diffusion equation , mathematics , mathematical physics , mathematical analysis , quantum electrodynamics , quantum mechanics , graph , combinatorics , business , finance , electron
Starting with the Kubo formula, a transport equation for the acoustic polaron is derived. The collision integral in the transport equation contains not only irreducible vertex parts, but also “products” of them. These are products of irreducible verteces connected by non‐singular parts of Green's functions. They are important when one considers the second or higher order perturbations, as in the case of an acoustic polaron at very low temperatures.