The Phase Diagram of the One-Dimensional Extended Hubbard Model
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For a wide range of its three parameters — the Coulomb interactions U and V and the band filling ρ — we obtain the phase diagram of one-dimensional, “conventional” extended Hubbard model by combining previously known weak-coupling results with strong coupling perturbation theory, quantum Monte Carlo (QMC), and exact diagonalization) simulations. Our results establish the existence of a variety of phases, including several not predicted by weak coupling arguments. We delineate, for all ρ, the regions of the U, V parameter plane in which the model exhibits the “Luttinger Liquid” behavior expected for a strongly correlated, one-dimensional metal. In other regions, we establish the nature of the dominant fluctuations and, if relevant, the broken symmetry ground states. We evaluate the charge-charge, spin-spin, and superconducting pairing susceptibilities and correlation functions and calculate the charge correlation exponent, K ρ. Our results are generally consistent with, but substantially extend, previous analyses based on QMC, exact diagonalization, and renormalization group studies.
KeywordsHubbard Model Charge Density Wave Spin Density Wave Exact Diagonalization Luttinger Liquid
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