Electrons, pseudoparticles, and quasiparticles in the one-dimensional many-electron problem
arXiv:cond-mat/9604155 · doi:10.1103/PhysRevB.54.11230
Abstract
We generalize the concept of quasiparticle for one-dimensional (1D) interacting electronic systems. The and quasiparticles recombine the pseudoparticle colors and (charge and spin at zero magnetic field) and are constituted by one many-pseudoparticle {\it topological momenton} and one or two pseudoparticles. These excitations cannot be separated. We consider the case of the Hubbard chain. We show that the low-energy electron -- quasiparticle transformation has a singular charater which justifies the perturbative and non-perturbative nature of the quantum problem in the pseudoparticle and electronic basis, respectively. This follows from the absence of zero-energy electron -- quasiparticle overlap in 1D. The existence of Fermi-surface quasiparticles both in 1D and three dimensional (3D) many-electron systems suggests there existence in quantum liquids in dimensions 1D3. However, whether the electron -- quasiparticle overlap can vanish in D1 or whether it becomes finite as soon as we leave 1D remains an unsolved question.
43 pages, latex, no figures, submitted to Physical Review B
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