scholarly journals Influence of long-range Coulomb interaction on the metal-insulator transition in one-dimensional strongly correlated electron systems

1995 ◽  
Vol 52 (15) ◽  
pp. 10865-10871 ◽  
Author(s):  
I. V. Krive ◽  
A. A. Nersesyan ◽  
M. Jonson ◽  
R. I. Shekhter
Keyword(s):  
Long Range ◽  
Strongly Correlated Electron Systems ◽  
Strongly Correlated ◽  
Electron Systems ◽  
Metal Insulator Transition ◽  
Strongly Correlated Electron ◽  
Metal Insulator ◽  
Correlated Electron Systems ◽  
One Dimensional ◽  
Correlated Electron

Strongly Correlated Electron Systems: Spin-Reflection Positivity and Some Rigorous Results

1998 ◽  
Vol 12 (07n08) ◽  
pp. 709-779 ◽  
Author(s):  
Shun-Qing Shen
Keyword(s):  
Hubbard Model ◽  
Long Range ◽  
Strongly Correlated Electron Systems ◽  
Strongly Correlated ◽  
Electron Systems ◽  
Strongly Correlated Electron ◽  
Rigorous Results ◽  
Correlated Electron Systems ◽  
Correlated Electron ◽  
Generalized Hubbard Model

Theory of spin-reflection positivity developed in recent years is reviewed. This theory makes use of symmetries in an electron system and theory of matrix to investigate the ground state properties. Existences of anti- and ferromagnetic long-range orders in itinerant electron systems, and of off-diagonal long-range order are two successful applications of the theory. In this article, the author attempt to summarize exact results proved by utilizing this theory and related topics. First a general theory and basic theorems are introduced. Second, based on the band structures of conduction electrons, existences of a singlet state with strongly antiferromagnetic correlation, a state with both anti- and ferromagnetic long-range orders, and a fully saturated ferromagnetic state are proved. The theory is applied to several of the main theoretical models for strongly correlated electron systems, such as the Heisenberg model, the Hubbard model, the Anderson model, the single- and multichannel Kondo model, and the generalized Hubbard model, and a series of rigorous results are found in these models. Third, it is proved that off-diagonal long-range order and charge-density wave exist in the ground states of the attractive Hubbard model and the generalized Hubbard model. A relation between pseudospin symmetry and the uniform density theorem is introduced. Fourth, the theory is applied successfully to explain experimental observations of oscillatory interlayer magnetic coupling in ultrathin magnetic films. Finally several unsolved problems are discussed. All results introduced in this article are mathematically exact.

Epitaxial growth of V2O3 on Al2O3 by reactive MBE

2011 ◽  
Vol 1292 ◽  
Author(s):  
Leander Dillemans ◽  
Tuan Tran ◽  
Md. Nurul Kabir Bhuiyan ◽  
Tomas Smets ◽  
Mariela Menghini ◽  
...  
Keyword(s):  
Epitaxial Growth ◽  
Molecular Beam ◽  
Point Of View ◽  
Strongly Correlated Electron Systems ◽  
Strongly Correlated ◽  
Electron Systems ◽  
Strongly Correlated Electron ◽  
Metal Insulator ◽  
Correlated Electron Systems ◽  
Correlated Electron

ABSTRACTVanadium oxides are strongly correlated electron systems that are interesting both from a fundamental scientific point of view and for possible future applications including memory and sensors. In this contribution, we report on the epitaxial growth of V2O3 thin films on c-Al2O3 (0001) with molecular beam epitaxy and atomic oxygen. We studied the influence of deposition rate and substrate temperature on the structural properties and the metal-insulator transition.

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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