Polaron formation in quasi-one-dimensional organic ferromagnets is studied based on an extended Su-Schrieffer-Heeger model combined with a Kondo term. The charge distribution of the polaron is found to be highly asymmetric under spatial reflection, due to the spin radicals. On the contrary, the spin density is nearly symmetric; the spin asymmetry introduced by the extra electron inducing the polaron formation is nearly compensated by the spin polarization of the lower-energy states. We discuss these results on the basis of real-space mean-field calculations and symmetry arguments.

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