Abstract
We study phase boundary between phase separation region and region where superconducting pairing correlation functions show power law divergence for the one dimensional extended Hubbard model, for a wide range of parameters. Phase diagram are obtained from the second order perturbation theory, the mean-field approximation, quantum Monte Carlo simulations, and exact diagonalization studies. Analytical arguments for the general features of phase separation as function of band-filling π, the Coulomb interactions U and V are given. The nature of broken symmetry ground states are established by evaluating the charge-charge, spin-spin, and superconducting pairing correlation functions, and by calculating the charge correlation exponent K π . Numerical calculations for 1/4-filled band case are presented.
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