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The ground state properties and spin-density wave of a class of quasi-one dimensional polymeric organic and inorganic chains are studied by the mean-field theory and the Hartree-Fock approximation. The topological structure of the bipartite lozenge chain possesses a flat-band structure of the energy band. In the ground state. the electrons along the chain will form an antiferromagnetic spin-density wave. Away from half filling, a very rich magnetic phase diagram has been found. The ferrimagnetic ground state of the system will be more stable with increasing of the on-site Hubbard term.

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