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The Singularities of the Small Polaron Effective Mass

R. Mańka

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Abstract

Abstract 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.

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Abstract 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.

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Available abstract

Abstract 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.

Key concepts: Polaron, Effective mass (spring–mass system), Condensed matter physics, Electron, Dispersion relation, Physics, Coupling constant, Phonon

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