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- Title
Eigen-Functional Method and Eikonal-Type Equations in One-Dimensional Strongly Correlated Electron Systems.
- Authors
Liu, Yu-Liang
- Abstract
Using eigen-functional method, we study one-dimensional strongly correlated electron systems with large momentum (2k[sub F] and/or 4k[sub F]) transfer term(s), and demonstrate that this kind of problems ends in to solve the Eikonal-type equations, and these equations are universal, and independent of whether or not the system is integrable. In contrast to usual perturbation theory, this method is valid not only for weak electron interaction, but also for strong electron interaction. Comparing with exact solution of some integrable models, it can give correct results in linearization approximation. This method can also be used to study electron-phonon interaction systems, and two coupled spin chain (or quantum wire) systems.
- Subjects
EIGENFUNCTIONS; EIKONAL equation; ELECTRON-phonon interactions
- Publication
International Journal of Modern Physics B: Condensed Matter Physics; Statistical Physics; Applied Physics, 2002, Vol 16, Issue 16, p2201
- ISSN
0217-9792
- Publication type
Article
- DOI
10.1142/S0217979202010385