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Theory of High Temperature Superconductivity Beyond BCS with Realistic Coulomb and Fröhlich Interactions

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Abstract

Along with some other researches we have realised that the true origin of high-temperature superconductivity is found in the strong Coulomb repulsion combined with a significant electron–phonon interaction. Both interactions are strong (on the order of 1 eV) compared with the low Fermi energy of doped carriers which makes the conventional BCS-Eliashberg theory inapplicable in cuprates and related doped insulators. Based on our recent analytical and numerical results we argue that high-temperature superconductivity from repulsion alone is impossible for any strength of the Coulomb interaction. Major steps of the alternative polaron theory are outlined starting from the generic Hamiltonian including the unscreened (bare) Coulomb and electron–phonon interactions. The theory accounts for high superconducting critical temperatures, unconventional isotope effects and reconciles tunnelling, photoemission and quantum oscillation data.

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Acknowledgements

I highly appreciate fruitful collaboration with Alexander Bratkovsky, Viktor Kabanov, John Samson, Gerardo Sica and Peter Zhao, and stimulating discussions with Antonio Bianconi, Slaven Barisic, Ivan Bozovic, Annette Bussmann-Holder, Andrey Chubukov, Jorge Hirsch, Maxim Kagan, Hugo Keller, Steven Kivelson, Viktor Khodel, Yakov Kopelevich, Frank Marsiglio, Dragan Mihailovic, Roman Micnas, and Nikolay Plakida. This work has been supported by the UNICAMP visiting professorship program and ROBOCON (Campinas, Brazil).

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Authors and Affiliations

  1. Instituto de Fisica Gleb Wataghin/DFA, Universidade Estadual de Campinas-UNICAMP, São Paulo, 13083-859, Brazil

    A. S. Alexandrov

  2. Department of Physics, Loughborough University, Loughborough, LE11 3TU, UK

    A. S. Alexandrov

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  1. A. S. Alexandrov
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Correspondence to A. S. Alexandrov.

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Alexandrov, A.S. Theory of High Temperature Superconductivity Beyond BCS with Realistic Coulomb and Fröhlich Interactions. J Supercond Nov Magn 26, 1313–1317 (2013). https://doi.org/10.1007/s10948-012-2098-8

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