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Lattice and spin bipolarons in metal oxides and doped fullerenes

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Abstract

We extrapolate the BCS theory to the strong electron-phonon and (or) electron-spin fluctuation interaction and show that in the strong-coupling limit the ground state is a charged Bose liquid of lattice and (or) spin bipolarons. Kinetic and thermodynamic properties of charged bosons on a lattice in the normal and superconducting states are discussed, and some evidence for the model is given from NMR, neutron scattering, near-infrared absorption, Hall effect, resistivity, thermal conductivity, isotope effect, heat capacity, and critical magnetic fields of high-T c oxides. The maximum attainableT c is estimated to be in the region of the transition from the Fermi liquid to a charged Bose liquid (polaronic superconductivity). The proposed theory is not restricted by low dimensionality and might be applied to cubic oxides such as the “old” BaPbBiO and to alkali-doped C60 as well.

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Additional information

We thank D. Khmelnitskii, W. Liang, J. Loram, M. Pepper, E. Salje, and J. Wheattey for helpful stimulating discussions, and J. Cooper, A. Carrington, and A. Mackenzie for extensive experimental data and discussion. A. Bratkovsky has been instrumental in elaborating the temperature dependence of the infrared absorption and the electrical conductivity. One of us (A.S.A.) appreciates the financial support from the Leverhulme Trust.

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Alexandrov, A.S., Mott, N.F. Lattice and spin bipolarons in metal oxides and doped fullerenes. J Supercond 7, 599–605 (1994). https://doi.org/10.1007/BF00728467

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