Abstract
A recent investigation of the effect of thermal phonons on the transition temperature ${T}_{c}$ of conventional (i.e., phonon-mediated) superconductors is extended to those high-${T}_{c}$ exciton-mediated pairing condensates which can be described by equations with the same structure as the Eliashberg equations for a "dirty" superconductor. Simple, accurate expressions are derived for the change in ${T}_{c}$ due to the phonon-mediated electron-electron interaction with the individual contributions of thermal and virtual phonons clearly isolated.
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