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Electrons, pseudoparticles, and quasiparticles in one-dimensional interacting electronic systems

1995/05/08 by J. M. P. Carmelo, A. H. Castro Neto, Carmelo, J. M. P. +3
Engineering · Physics and Astronomy · #Advanced Chemical Physics Studies #Condensed Matter (cond-mat) #FOS: Physical sciences #Molecular Junctions and Nanostructures #Quantum and electron transport phenomena #cond-mat

paper · pdf · doi:10.48550/arxiv.cond-mat/9505029

11 pages, RevTeX, preprint ITP

arxiv created 1995/05/08 · openalex publication_date 1995/05/08 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We find the singular transformation between the electron operator and the pseudoparticle operators for the Hubbard chain. We generalize the concept of quasiparticle to one-dimensional electronic systems which in 1D refers to many-pseudoparticle objects. We obtain explicit results for the electron renormalization factor, self energy, and vertex functions at the Fermi points. We also discuss the possible connection of our results to higher dimensions and explore the possibilities of instabilities in the interacting problem such as the formation of Cooper pairs.

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