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

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

1995-05-08

arxiv.org/abs/cond-mat/9505029v1

Physics

Condensed Matter

11 pages, RevTeX, preprint ITP

Scientific paper

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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