Local magnetic properties of \(L\times L\) square lattice with an Extended Hubbard Model

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• 作者：A. Zouhair (1)
  S. Harir (1) (2)
  M. Bennai (1)
  A. Migalska-Zalas (4)
  Y. Boughaleb (1) (3) (5)
  
  1. Laboratory of Condensed Matter Physics (URAC10) ; Faculty of Science Ben M鈥橲ik ; University Hassan II-Mohammedia Casablanca ; Casablanca ; Morocco
  2. D茅partement de Physique-Chimie ; Centre R茅gional des M茅tiers de l鈥橢ducation et de la Formation ; Settat ; Morocco
  4. Institute of Physics ; Jan Dlugosz University ; Armii Krajowej 13/15 ; Czestochowa ; Poland
  3. Ecole Normale Sup茅rieure ; Universit茅 Hassan II ; Casablanca ; Morocco
  5. Hassan II Academy of Science and Technology ; Rabat ; Morocco
  
• 关键词：Extended Hubbard Model ; Exact diagonalization ; Square lattice
• 刊名：Optical and Quantum Electronics
• 出版年：2015
• 出版时间：March 2015
• 年：2015
• 卷：47
• 期：3
• 页码：523-528
• 全文大小：453 KB
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• 刊物主题：Optics, Optoelectronics, Plasmonics and Optical Devices; Electrical Engineering; Characterization and Evaluation of Materials; Computer Communication Networks;
• 出版者：Springer US
• ISSN：1572-817X

文摘

Within an analytical diagonalization, it is possible to exactly solve a large class of models useful for the study of strongly correlated electrons systems. Here, we perform an exact diagonalization of the two-dimensional Extended Hubbard Model with first nearest neighbor repulsive \(V\) and spin-spin interaction \(J\) at one-eight filling. The analysis of the ground state energy and spin gap behaviors as a function of \(V\) and \(J\) terms allows us to study some local magnetic properties of \(2D\) ferromagnetic correlated electrons system distributed in finite square lattice. The obtained results show the existence of competition between Spin Density Wave and Charge Density Wave with the possibility to have a phase transition between these two waves at a critical value \(V_{c}\)