s- and d-wave Symmetries in Nonadiabatic Theory of Superconductivity

Physics – Condensed Matter – Superconductivity

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6 pages, 3 eps figure, ijmpb-macros, proceeding of SATT10, to appear on Int. Journ. Mod. Phys. B

Scientific paper

10.1142/S0217979200003204

High-$T_c$ superconductors have Fermi energies $E_F$ much smaller than conventional metals comparable to phonon frequencies. In such a situation nonadiabatic effects are important. A generalization of Eliashberg theory in the nonadiabatic regime has previously been shown to reproduce some anomalous features of the high-$T_c$ superconductors as for istance the enhancement of $T_c$ or the isotopic effects on $T_c$ and $m^*$. In this contribution we address the issue of the symmetry of the gap in the context of nonadiabatic superconductivity. We show that vertex corrections have a momentum structure which favours d-wave superconductivity when forward scattering is predominant. An additional increase of $T_c$ is also found.

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