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Using the Density Matrix Renormalization Group and two-leg ladders, weinvestigate an electronic two-orbital Hubbard model including plaquettediagonal hopping amplitudes. Our goal is to search for regimes where chargesadded to the undoped state form pairs, presumably a precursor of asuperconducting state.For the electronic density $\rho=2$, i.e. the undopedlimit, our investigations show a robust $(\pi,0)$ antiferromagnetic groundstate, as in previous investigations. Doping away from $\rho=2$ and for largevalues of the Hund coupling $J$, a ferromagnetic region is found to be stable.Moreover, when the interorbital on-site Hubbard repulsion is smaller than theHund coupling, i.e. for $U'<J$ in the standard notation of multiorbital Hubbardmodels, our results indicate the coexistence of pairing tendencies andferromagnetism close to $\rho=2$. These results are compatible with previousinvestigations using one dimensional systems. Although further research isneeded to clarify if the range of couplings used here is of relevance for realmaterials, such as superconducting heavy fermions or pnictides, our theoreticalresults address a possible mechanism for pairing that may be active in thepresence of short-range ferromagnetic fluctuations.

Coexistence of Pairing Tendencies and Ferromagnetism in a Doped Two-Orbital Hubbard Model on Two-Leg Ladders