Electrons, pseudoparticles, and quasiparticles in the one-dimensional many-electron problem
- Department of Physics, University of Evora, Apartado 94, P-7001 Evora Codex (Portugal)
- Department of Physics, University of California, Riverside, California 92521 (United States)
We generalize the concept of quasiparticle for one-dimensional (1D) interacting electronic systems. The {up_arrow} and {down_arrow} quasiparticles recombine the pseudoparticle colors {ital c} and {ital s} (charge and spin at zero-magnetic field) and are constituted by one many-pseudoparticle {ital topological}-{ital momentum} {ital shift} 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 character which justifies the perturbative and nonperturbative 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 their existence in quantum liquids in dimensions 1{lt}{ital D}{lt}3. However, whether the electron-quasiparticle overlap can vanish in {ital D}{gt}1 or whether it becomes finite as soon as we leave 1D remains an unsolved question. {copyright} {ital 1996 The American Physical Society.}
- OSTI ID:
- 388300
- Journal Information:
- Physical Review, B: Condensed Matter, Vol. 54, Issue 16; Other Information: PBD: Oct 1996
- Country of Publication:
- United States
- Language:
- English
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