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Influence of Phonon Damping on the Electrical Resistivity of Open Electron‐Phonon Model Systems
Author(s) -
Röpke G.,
Christoph V.,
Vojta G.
Publication year - 1976
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.2220760231
Subject(s) - phonon , condensed matter physics , electrical resistivity and conductivity , phonon drag , electron , thermal conduction , relaxation (psychology) , coupling (piping) , physics , drag , materials science , quantum mechanics , mechanics , psychology , social psychology , metallurgy , seebeck coefficient
A direct calculation of the electrical resistivity of an electron‐phonon system is made by means of the force‐force correlation function method. The coupling of the system considered to a bath is essential for the correct physical and mathematical formulation of the theory. It is assumed that the conduction electrons interact with the longitudinal phonons (only normal processes are taken into account). The interaction of the longitudinal phonons with the bath is given by a relaxation term with a wave‐vector dependent relaxation time. The corrections to the electrical resistivity caused by the finite coupling strength between phonons and bath are derived in lowest order and discussed; they are connected with the phonon drag.