Self-similarity correlations in high-temperature superconductivity

Thermally induced structural phase transitions produce self-similar quasi-2D chain-like structure in the CuO2 planes. Self-similar, scale invariant wave functions-solutions of the scale invariant Hamiltonian-represent states of long range correlations. These intrinsically correlated states can be observed as carriers of super-current. The conformal invariant string theory is proposed as a first approximation to describe the mechanism of high-temperature superconductivity. (author) 8 refs