A model for one-dimensional bipartite lozenge chain is proposed. By unrestricted Hartree-Fock approximation, we find that the system should exhibit ferrimagnetic ordering for a half filled band. In the ground state, the energy levels of electrons will split off with respect to different spins and the electrons along the chain will form an antiferromagnetic spin-density wave. The ground state of the system will be more stable with increasing of the on-site Hubbard term.
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