High-Tc Superconductivity: Strong Indication of Filamentary-Chaotic Conductance and Possible Routes to Superconductivity Above Room Temperature
Abstract
The empirical relation of Tco(K)=2740/<q>c4 between the transition temperature of optimum doped superconductors Tco and the mean cationic charge <q>c, a physical paradox, can be recast to strongly support fractal theories of high-Tc superconductors, thereby applying the finding that the optimum hole concentration of h+ = 0.229 can be linked with the universal fractal constant delta1 = 8.72109... of the renormalized Henon map. The transition temperature obviously increases steeply with a domain structure of ever narrower size, characterized by Fibonacci numbers. With this backing superconductivity above room temperature can be conceived for synthetic sandwich structures of <q>c less than 2+. For instance, composites of tenorite and cuprite respectively tenorite and CuI (CuBr, CuCl) onto AuCu alloys are proposed. This specification is suggested by previously described filamentary superconductivity of 'bulk' CuO1-x samples. In addition, cesium substitution in the Tl-1223 compound is an option. A low mean cationic charge allows the development of a frustrated nano-sized fractal structure of possible ferroelastic nature delivering nano-channels for the very fast charge transport, in common for both high-Tc superconductors and organic inorganic halide perovskite solar materials.
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