Finite-Energy Landau Liquid Theory for the 1D Hubbard Model: Pseudoparticle Energy Bands and Degree of Localization/Delocalization

Abstract

This paper is part of a broader study whose main goal is the study of the finite-energy spectral properties of the non-perturbative one-dimensional (1D) Hubbard model and the evaluation of finite-energy correlation-function expressions. Here we study the deviations from the ground state values of double occupancy which result from creation or annihilation of holons, spinons, and pseudoparticles. The band-momentum dependence of the obtained double-occupancy spectra provides important information on the degree of localization/delocalization of the real-space lattice electron site distribution configurations associated with the pseudoparticles. We also study the band-momentum, on-site electronic repulsion, and electronic density dependence of the pseudoparticle energy bands. The shape of these bands plays an important role in the finite-energy spectral properties of the model. Such a shape defines the form of the lines in the momentum-energy/frequency plane where the peaks and edges of the one-electron and two-electron spectral weight of physical operators are located. Our findings are useful for the study of the one-electron and two-electron spectral weight distribution of physical operators.

24 pages, 9 figures. Accepted for publication in Physical Review B

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• Pseudoparticle approach to 1D integrable quantum models
• Absence of ballistic charge transport in the half-filled 1D Hubbard model
• One-electron singular spectral features of the 1D Hubbard model at finite magnetic field
• Correlations of zero-entropy critical states in the XXZ model: integrability and Luttinger theory far from the ground state
• Finite energy spectral function of an anisotropic 2D system of coupled Hubbard chains
• Superconductivity Driven by Chain Coupling and Electronic Correlations
• Hubbard-model description of the high-energy spin-spectral-weight distribution in La(2)CuO(4)
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• Spin-spectral-weight distribution and energy range of the parent compound La${}_2$CuO${}_4$
• Exact results for the Hubbard model on bipartite lattices in spatial dimensions $d>1$: Seven theorems from the full [SU(2)$\times$SU(2)$\times$U(1)]/${\mathbb{Z}}_2^2$ symmetry