Theory of High-Tc Superconductivity: Accurate Predictions of Tc

Abstract

The superconducting transition temperatures of high-Tc compounds based on copper, iron, ruthenium and certain organic molecules are discovered to be dependent on bond lengths, ionic valences, and Coulomb coupling between electronic bands in adjacent, spatially separated layers [1]. Optimal transition temperature, denoted as T_c0, is given by the universal expression $k_B{T}_{c}0=e^2\Lambda /\ell \zeta$; $\ell$ is the spacing between interacting charges within the layers, ζis the distance between interacting layers and Λis a universal constant, equal to about twice the reduced electron Compton wavelength (suggesting that Compton scattering plays a role in pairing). Non-optimum compounds in which sample degradation is evident typically exhibit Tc < T_c0. For the 31+ optimum compounds tested, the theoretical and experimental T_c0 agree statistically to within +/- 1.4 K. The elemental high Tc building block comprises two adjacent and spatially separated charge layers; the factor e^2/ζarises from Coulomb forces between them. The theoretical charge structure representing a room-temperature superconductor is also presented.

7 pages 5 references, 6 figures 1 table

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• High-$T_{\text{C}}$ superconductivity in Cs${}_3$C${}_{60}$ compounds governed by local Cs-C${}_{60}$ Coulomb interactions
• Superconducting $I$$\overline{4}$3$m$ CSH${}_7$ model applied to resistive transition temperature data for compressed C-S-H at high pressure