Theory of High Temperature Superconductivity in Doped Polar Insulator

Abstract

In the last two decades there have been tremendous attempts to built an adequate theory of high-temperature superconductivity. Most studies (including our efforts) used some model Hamiltonians with input parameters not directly related to the material. The dielectric response function of electrons in strongly correlated high-temperature superconductors is apriori unknown. Hence one has to start with the generic Hamiltonian including unscreened Coulomb and Froehlich electron-phonon interactions operating on the same scale since any ad-hoc assumption on their range and relative magnitude might fail. Using such a generic Hamiltonian I have built the analytical theory of high-temperature superconductivity in doped polar insulators predicting the critical temperature in excess of a hundred Kelvin without any adjustable parameters. The many-particle electron system is described by an analytically solvable polaronic "t-Jp" Hamiltonian with reduced hopping integral, t, allowed double on-site occupancy, large phonon-induced antiferromagnetic exchange, Jp >> t, and a high-temperature superconducting state of small superlight bipolarons protected from clustering.

6 pages, 2 figures, some citations are updated

References in corpus (7)

• Two-dimensional Hubbard-Holstein bipolaron
• Superlight small bipolarons in the presence of strong Coulomb repulsion
• Unconventional high-temperature superconductivity from repulsive interactions: theoretical constraints
• Unconventional superconducting pairing by conventional phonons
• Bipolaron in the t-J model coupled to longitudinal and transverse quantum lattice vibrations
• The impact of dynamical screening on the phonon dynamics of LaCuO
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Cited by in corpus (9)

• Separating pairing from quantum phase coherence dynamics above the superconducting transition by femtosecond spectroscopy
• Superstripes and complexity in high-temperature superconductors
• Isotope effects in high-Tc cuprate superconductors: Ultimate proof for bipolaron theory of superconductivity
• A study of cooperative breathing-mode in molecular chains
• Superlight small bipolarons from realistic long-range Coulomb and Fröhlich interactions
• Reply to "On the cutoff parameter in the translation-invariant theory of the strong coupling polaron"
• Comments on "Translation-invariant bipolarons and the problem of high-temperature superconductivity"
• High temperature superconductivity from realistic long-range Coulomb and Fröhlich interactions
• Effect of screening of the electron-phonon interaction on the temperature of Bose-Einstein condensation of intersite bipolarons