Glass model, Hubbard model and high-temperature superconductivity

In this paper we revisit the glass model describing the macroscopic behavio r of the High-Temperature superconductors. We link the glass model at the m icroscopic level to the striped phase phenomenon, recently discussed widely . The size of the striped phase domains is consistent with earlier predicti ons of the glass model when it was introduced for High-Temperature Supercon ductivity in 1987. In an additional step we use the Hubbard model to descri be the microscopic mechanism for d-wave pairing within these finite size st ripes. We discuss the implications for superconducting correlations of the Hubbard model, which are much higher for stripes than for squares, for finite size scaling, and for the new view of the glass model picture.