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Several experiments in the context of ladder materials have recently shownthat the study of simple models of anisotropic ladders (i.e. with differentcouplings along legs and rungs) is important for the understanding of thesecompounds. In this paper Exact Diagonalization studies of the one-band Hubbardand t-J models are reported for a variety of densities, couplings, andanisotropy ratios. The emphasis is given to the one-particle spectral functionA(q,\omega) which presents a flat quasiparticle dispersion at the chemicalpotential in some region of parameter space. This is correlated with theexistence of strong pairing fluctuations, which themselves are correlated withan enhancement of the bulk-extrapolated value for the two-hole binding energyas well as with the strength of the spin-gap in the hole-doped system. Part ofthe results for the spectral function are explained using a simple analyticalpicture valid when the hopping along the legs is small. In particular, thispicture predicts an insulating state at quarter filling in agreement with themetal-insulator transition observed at this special filling for increasing rungcouplings. The results are compared against previous literature, and inaddition pair-pair correlations using extended operators are also herereported.Comment: 13 pages, 9 figs, LateX, submitted to The European Physical Journal

Photoemission, inverse photoemission and superconducting correlations in Hubbard and t-J ladders: role of the anisotropy between legs and rungs