The Optimal Inhomogeneity for Superconductivity: Finite Size Studies

Details The Optimal Inhomogeneity for Superconductivity: Finite Size Studies The Optimal Inhomogeneity for Superconductivity: Finite Size Studies

2008-03-06

arxiv.org/abs/0803.0933v2

Phys. Rev. B 77, 214502 (2008)

Physics

Condensed Matter

Superconductivity

8 pages, 9 figures; minor revisions; more references added

Scientific paper

10.1103/PhysRevB.77.214502

We report the results of exact diagonalization studies of Hubbard models on a $4\times 4$ square lattice with periodic boundary conditions and various degrees and patterns of inhomogeneity, which are represented by inequivalent hopping integrals $t$ and $t^{\prime}$. We focus primarily on two patterns, the checkerboard and the striped cases, for a large range of values of the on-site repulsion $U$ and doped hole concentration, $x$. We present evidence that superconductivity is strongest for $U$ of order the bandwidth, and intermediate inhomogeneity, $0

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