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Different models for doping of two-orbital chains with mobile $S=1/2$fermions and strong, ferromagnetic (FM) Hund's rule couplings stabilizing theS=1 spins are investigated by density matrix renormalization group (DMRG)methods. The competition between antiferromagnetic (AF) and FM order leads to arich phase diagram with a narrow FM region for weak AF couplings and stronglyenhanced triplet pairing correlations. Without a level difference between theorbitals, the spin gap persists upon doping, whereas gapless spin excitationsare generated by interactions among itinerant polarons in the presence of alevel difference. In the charge sector we find dominant singlet pairingcorrelations without a level difference, whereas upon the inclusion of aCoulomb repulsion between the orbitals or with a level difference, chargedensity wave (CDW) correlations decay slowest. The string correlation functionsremain finite upon doping for all models.Comment: 9pages, 9figure

Doped Two Orbital Chains with Strong Hund's Rule Couplings - Ferromagnetism, Spin Gap, Singlet and Triplet Pairings