Abstract
We estimate the maximum superconducting transition temperature (TC)max that can be expected from the BCS phonon-mediated interaction, in high-TC cuprates. The large polarizability of the oxygen ions plays a critical role, by replacing the conduction electrons as the main screening medium. As a result the static electronic Thomas-Fermi screening parameter κTF is very small. This causes the electron-ion potential V(q, ω) to be very large at small values of q(q ≈ κTF) and very small values of ω(ω < ξ1, where ξ1 characterizes the dispersion of the ionic dielectric constant). This, in turn, causes the electron-phonon matrix element I(q, ω) to be very strong for these (q, ω) values, and as a result TC is very high, particularly in a thin 2-D electron gas. We estimate (TC)max ≈ 200 K for parameters characteristic of the cuprates.
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Weger, M., Peter, M. & Pitaevskii, L.P. Maximum TC for the phonon mediated mechanism, with forward electron-phonon scattering. Zeitschrift für Physik B Condensed Matter 101, 573–582 (1996). https://doi.org/10.1007/s002570050248
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DOI: https://doi.org/10.1007/s002570050248