The role of phonon-modulated transfer integrals in the electrical and magnetic properties of an extended Hubbard model

Abstract
The coupling of a narrow band of electrons to lattice vibrations is described in terms of the modulation of the one-electron transfer integrals due to phonons. The electrical conductivity due to phonon-assisted processes is calculated for the Mott insulator. These processes modify the temperature dependence of the conductivity and introduce lifetimes related to the phonon density of states. The magnetic susceptibility is calculated at high temperatures and it is seen that the effects of the phonons can be described in terms of a reduced Curie constant and an enhanced Curie-Weiss temperature. Possible applications to the tetracyanoquinodimethan salts are briefly mentioned.

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