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We study the ferromagnetic ground state of the theoretical model proposed for quasi-one-dimensional organic polymer ferromagnets by using the density matrix renormalization group method. We find that the chain-radical interaction, the on-site electron-electron repulsion, and the electron-phonon coupling play important roles in the stability of the ferromagnetic state, whether in doped systems or not. We are convinced that when the system is doped by one electron, a polaron appears, diminishing the stability of the high-spin state.

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