Superconductivity in a Hubbard-Fröhlich model and in cuprates

Hardy, T. M.; Hague, J. P.; Samson, J. H. and Alexandrov, A. S. (2009). Superconductivity in a Hubbard-Fröhlich model and in cuprates. Physical Review B, 79(21) pp. 1–4.

DOI: https://doi.org/10.1103/PhysRevB.79.212501

Abstract

Using the variational Monte Carlo method, we find that a relatively weak long-range electron-phonon interaction induces a d-wave superconducting state in doped Mott-Hubbard insulators and/or strongly correlated metals with a condensation energy significantly larger than can be obtained with Coulomb repulsion only. Moreover, the superconductivity is shown to exist for infinite on-site Coulomb repulsion without the need for additional mechanisms such as spin fluctuations to mediate d-wave superconductivity. We argue that our superconducting state is robust with respect to a more intricate choice of the trial-wave function and that a possible origin of high-temperature superconductivity lies in a proper combination of strong electron-electron correlations with poorly screened Fröhlich electron-phonon interaction.

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