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The Singularities of the Small Polaron Effective Mass
Author(s) -
Mańka R.
Publication year - 1978
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.2220870107
Subject(s) - polaron , effective mass (spring–mass system) , condensed matter physics , electron , dispersion relation , physics , coupling constant , phonon , gravitational singularity , semiconductor , coupling (piping) , function (biology) , dispersion (optics) , quantum mechanics , materials science , evolutionary biology , metallurgy , biology
Using the Bogolyubov inequality, a more general polaron dispersion relation than known up to now is obtained. The effective polaron mass derived from it for high temperatures and for a strong electron–phonon coupling is the same, but for semiconductors with a suitable wide electron band, the effective mass is discontinuous as a function of the temperature and the electron–phonon coupling constant.