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Second‐Order Cumulant Expansion of the Free Energy and the Effective Masses of a Polaron at Finite Temperatures
Author(s) -
Arisawa K.,
Saitoh M.
Publication year - 1983
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.2221200137
Subject(s) - polaron , effective mass (spring–mass system) , coupling constant , physics , electron , limit (mathematics) , condensed matter physics , quantum electrodynamics , path integral formulation , phonon , constant (computer programming) , quantum mechanics , mathematical analysis , mathematics , computer science , quantum , programming language
Exact perturbational results up to the second order in the coupling constant or the fourth order in the electron‐phonon interactions for the free energy, the inertial mass, and the magnetic mass of a polaron are calculated by use of the path‐integral method. New explicit analytical results are obtained for a Fröhlich polaron at finite temperatures, which in the zero temperature limit reduce to the known results.