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Alternative generalized master equation approach to the dc phonon-assisted hopping

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Czechoslovak Journal of Physics B Aims and scope

Abstract

As the momentum operator has no diagonal elements between localized states, the hopping conduction theory should be formulated in terms of the linear response of the site-off-diagonal elements of the single-electron density matrix to an external field. A theory of this kind, starting from generalized master equations and yielding the dc phonon-assisted hopping conductivity and thermopower is formulated. This is an alternative to the usual approach treating the current conduction via a time-derivative of the electric dipole momentum.

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Authors and Affiliations

  1. Institute of Physics, Charles University, Ke Karlovu 5, 121 16, Praha 2, Czechoslovakia

    V. Čápek

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  1. V. Čápek
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Additional information

Stimulating discussions with Dr. B. Velický turning the present author's attention to his own old ideas about the hopping conduction via off-diagonal elements of the single-electron density matrix are appreciated.

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Čápek, V. Alternative generalized master equation approach to the dc phonon-assisted hopping. Czech J Phys 38, 777–786 (1988). https://doi.org/10.1007/BF01596338

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  • DOI: https://doi.org/10.1007/BF01596338

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