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

Carmelo, J. M. P.; Neto, A. H. Castro; Peres, N. M. R.

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

Authors

Carmelo, J. M. P.

Neto, A. H. Castro

Peres, N. M. R.

Description

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.
11 pages, RevTeX, preprint ITP