Finite-energy Landau liquid theory for the one-dimensional Hubbard model: Pseudoparticle energy bands and degree of localization/delocalization

J. M. P. Carmelo and P. D. Sacramento
Phys. Rev. B 68, 085104 – Published 13 August 2003
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Abstract

In this paper we consider the one-dimensional Hubbard model and study the deviations from the ground-state values of double occupation which result from creation or annihilation of holons, spinons, and pseudoparticles. These quantum objects are such that all energy eigenstates are described by their occupancy configurations. The band-momentum dependence of the obtained double-occupation 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.

  • Received 22 July 2002

DOI:https://doi.org/10.1103/PhysRevB.68.085104

©2003 American Physical Society

Authors & Affiliations

J. M. P. Carmelo

  • GCEP-Center of Physics, University of Minho, Campus Gualtar, P-4710-057 Braga, Portugal

P. D. Sacramento

  • Departamento de Física and CFIF, Instituto Superior Técnico, P-1049-001 Lisboa, Portugal

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Issue

Vol. 68, Iss. 8 — 15 August 2003

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