d-wave superconductivity in Hubbard model on the square lattice perturbed by weak 3D uniaxial anisotropy

2008/04/15 by Carmelo, J. M. P.
#FOS: Physical sciences #Superconductivity (cond-mat.supr-con)

paper · doi:10.48550/arxiv.0804.2388

Abstract

The Hubbard model on a square lattice is one of the most studied condensed-matter quantum problems.Here we find evidence that for intermediate U/4t values and a hole-concentration range x∈ (x_c,x_*) the ground state of the Hubbard model on the square lattice perturbed by weak three-dimensional (3D) uniaxial anisotropy has long-range d-wave superconducting order. Here t is the effective nearest-neighbor transfer integral and U the effective on-site repulsion. The lower critical concentration x_c involves the Ginzburg number Gi and is approximately given by x_c≈ \rm Gi+x₀≈ 0.05. Here x₀

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