One-dimensional Halogen-bridged NiIIICompounds: Chemistry and Physics in Strongly Correlated Electron Systems

2008 ◽  
Vol 37 (4) ◽  
pp. 382-387 ◽  
Author(s):  
Shinya Takaishi ◽  
Masahiro Yamashita
Keyword(s):  
Strongly Correlated Electron Systems ◽  
Strongly Correlated ◽  
Electron Systems ◽  
Strongly Correlated Electron ◽  
Correlated Electron Systems ◽  
One Dimensional ◽  
Correlated Electron

EIGEN-FUNCTIONAL METHOD AND EIKONAL-TYPE EQUATIONS IN ONE-DIMENSIONAL STRONGLY CORRELATED ELECTRON SYSTEMS

2002 ◽  
Vol 16 (16) ◽  
pp. 2201-2220 ◽  
Author(s):  
YU-LIANG LIU
Keyword(s):  
Functional Method ◽  
Electron Interaction ◽  
Large Momentum ◽  
Strongly Correlated Electron Systems ◽  
Strongly Correlated ◽  
Electron Systems ◽  
Strongly Correlated Electron ◽  
Correlated Electron Systems ◽  
One Dimensional ◽  
Correlated Electron

Using eigen-functional method, we study one-dimensional strongly correlated electron systems with large momentum (2k F and/or 4k 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.

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