Abstract
By the field theory approach, we investigate a one-dimensional correlated electronic system modelled by the extended Hubbard Hamiltonian including a nearest-neighbor and a next-nearest-neighbor spin-exchange interactions with easy-axis anisotropy. At half filling, we obtain weak-coupling phase diagram. In addition to two insulating phases with transverse and longitudinal spin-density-wave orders, two metallic phases, characterized by the coexistence of singlet superconductivity and charge-density-wave orders and by the coexistence of triplet superconductivity and spin-density-wave orders, are realized in the ground state. Away from half filling, the degeneracy is split and the superconducting orders are favored.
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