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Description of the Energy Eigenstates of the 1D Hubbard Model in Terms\n of Rotated-Electron Site Distribution Configurations

2003/05/15 by J. M. P. Carmelo, Carmelo, J. M. P.
Physics and Astronomy · #Advanced Chemical Physics Studies #FOS: Physical sciences #Physics of Superconductivity and Magnetism #Quantum and electron transport phenomena #Strongly Correlated Electrons (cond-mat.str-el) #cond-mat.str-el

paper · pdf · doi:10.48550/arxiv.cond-mat/0305347

46 pages, 6 figures. Submitted to Physical Review B

arxiv created 2003/05/15 · openalex publication_date 2003/05/15 · arxiv updated 2009/11/30 · openalex created_date 2022/10/01 · openalex updated_date 2026/07/28

Abstract

In this paper we describe the pseudoparticles, holons, and spinons whose\noccupancy configurations describe the energy eigenstates of the one-dimensional\n(1D) Hubbard model in terms of rotated electrons. Rotated electrons are related\nto electrons by a mere unitary transformation such that rotated electron double\noccupation is a good quantum number. Moreover, we introduce the concepts of\nlocal pseudoparticle and effective pseudoparticle lattice. Our findings provide\nuseful information about the relation of the exotic pseudoparticles, holons,\nand spinons that diagonalize the non-perturbative many-electron problem to the\noriginal electrons. We provide an example showing how the derived local\npseudoparticle representation can be used in the evaluation of finite-energy\nfew-electron spectral function expressions.\n

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