Abstract
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.
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Lin, H.Q., Gagliano, E.R., Campbell, D.K., Fradkin, E.H., Gubernatis, J.E. (1995). The Phase Diagram of the One-Dimensional Extended Hubbard Model. In: Baeriswyl, D., Campbell, D.K., Carmelo, J.M.P., Guinea, F., Louis, E. (eds) The Hubbard Model. NATO ASI Series, vol 343. Springer, Boston, MA. https://doi.org/10.1007/978-1-4899-1042-4_35
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DOI: https://doi.org/10.1007/978-1-4899-1042-4_35
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