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The Isotope Effect in d-Wave Superconductors

H. -B. Schüttler·C. -H. Pao
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Abstract

Based on recently proposed anti-ferromagnetic spin fluctuation exchange models for $d_{x^2-y^2}$-superconductors, we show that coupling to harmonic phonons {\it{cannot}} account for the observed isotope effect in the cuprate high-$T_c$ materials, whereas coupling to strongly anharmonic multiple-well lattice tunneling modes {\it{can}}. Our results thus point towards a strongly enhanced {\it{effective}} electron-phonon coupling and a possible break-down of Migdal-Eliashberg theory in the cuprates.

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H. -B. Schüttler, C. -H. Pao. 1995-11-17. The Isotope Effect in d-Wave Superconductors. https://doi.org/10.1103/physrevlett.75.4504

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