High Temperature Superconductivity Due to a Long-Range Electron–Phonon Interaction, Application to Isotope Effects, Thermomagnetic Transport and Nanoscale Heterogeneity in Cuprates

Strong electron–phonon (e–ph) interaction in cuprates and other high-temperature superconductors has gathered support over the last decade in a large number of experiments. I briefly review the “Fröhlich–Coulomb” multi-polaron model of high-temperature superconductivity, which includes strong onsite repulsive correlations and the long-range Coulomb and e–ph interactions. The extension of the BCS theory to the strong-coupling regime with a long-range unscreened e–ph interaction naturally explains the isotope effects, unconventional thermomagnetic transport, and checkerboard modulations of the tunnelling density of states (DOS) in cuprates.