Complete Pseudohole and Heavy-Pseudoparticle Operator Representation for the Hubbard Chain

Abstract

We introduce the pseudohole and heavy-pseudoparticle operator algebra that generates all Hubbard-chain eigenstates from a single reference vacuum. In addition to the pseudoholes already introduced for the description of the low-energy physics, this involves the heavy pseudoparticles associated with Hamiltonian eigenstates whose energy spectrum has a gap relatively to the many-electron ground state. We introduce a generalized pseudoparticle perturbation theory which describes the relevant finite-energy ground state transitions. In the present basis these excitations refer to a small density of excited pseudoparticles. Our operator basis goes beyond the Bethe-ansatz solution and it is the suitable and correct starting point for the study of the finite-frequency properties, which are of great relevance for the understanding of the unusual spectral properties detected in low-dimensional novel materials.

LaTeX, 32 pages, no Figures. To be published in Phys. Rev. B (15th of August 1997)

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• Scattering Matrix and Excitation Spectrum of the Hubbard Model
• Anomalous scaling and spin-charge separation in coupled chains
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Cited by in corpus (8)

• Transport Properties of One-Dimensional Hubbard Models
• Finite-Temperature Transport in Finite-Size Hubbard Rings in the Strong-Coupling Limit
• Curvature of Levels and Charge Stiffness of One-Dimensional Spinless Fermions
• Finite-frequency optical absorption in 1D conductors and Mott-Hubbard insulators
• Finite-Energy Landau Liquid Theory for the 1D Hubbard Model: Pseudoparticle Energy Bands and Degree of Localization/Delocalization
• Charge and Spin Quantum Fluids Generated by Many-Electron Interactions
• Charge and Spin Transport in the One-dimensional Hubbard Model
• Unscrambling of single-particle wave functions in systems localized through disorder and monitoring