Mechanism of High Temperature Superconductivity in a striped Hubbard Model

Department of Physics, University of California at Los Angeles, 405 Hilgard Ave., Los Angeles, CA 90095(Dated: February 2, 2008)It is shown, using asymptotically exact methods, that the two dimensional repulsive Hubbardmodel with strongly modulated interactions exhibits “high temperature superconductivity”. Specif-ically, the explicit modulation, which has the same symmetry as period 4 bond-centered stripes,breaks the system into an alternating array of more and less heavily hole doped, nearly decoupledtwo-leg ladders. It is shown that this system exhibits a pairing scale determined by the spin-gap ofthe undoped two-leg ladder, and a phase ordering temperature proportional to a low positive powerof the inter-ladder coupling.