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The phase diagram of the Kondo lattice Hamiltonian with ferromagnetic Hund'scoupling in the limit where the spin of the localized $t_{2g}$ electrons isclassical is analyzed in one dimension as a function of temperature, electronicdensity, and a direct antiferromagnetic coupling $J'$ between the localizedspins. Studying static and dynamical properties, a behavior that qualitativelyresembles experimental results for manganites occurs for $J'$ smaller than 0.11in units of the $e_g$ hopping amplitude. In particular a coexistence offerromagnetic and antiferromagnetic excitations is observed at low-hole densityin agreement with neutron scattering experiments on$\rm{La_{2-2x}Sr_{1+2x}Mn_2O_7}$ with$x=0.4$. This effect is caused by therecently reported tendency to phase separation between hole-rich ferromagneticand hole-undoped antiferromagnetic domains in electronic models for manganites.As $J'$ increases metal-insulator transitions are detected by monitoring theoptical conductivity and the density of states. The magnetic correlationsreveal the existence of spiral phases without long-range order but with fairlylarge correlation lengths. Indications of charge ordering effects appear in theanalysis of charge correlations.Comment: 14 pages with 25 eps figures embeded in the tex

physical review. b, condensed matter

Static and dynamical properties of the ferromagnetic Kondo model with direct antiferromagnetic coupling between the localized<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mrow><mml:msub><mml:mrow><mml:mi>t</mml:mi></mml:mrow><mml:mrow><mml:mn>2</mml:mn><mml:mi>g</mml:mi></mml:mrow></mml:msub></mml:mrow></mml:math>electrons

Static and dynamical properties of the ferromagnetic Kondo model with direct antiferromagnetic coupling between the localizedt2gelectrons