中国物理B ›› 2010, Vol. 19 ›› Issue (12): 127401-127401.doi: 10.1088/1674-1056/19/12/127401

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Filling dependence of correlation exponents and metal-Mott insulator transition in strongly correlated electron systems

林明喜1, 祁胜文2   

  1. (1)College of Physics and Electronics, Shandong Normal University, Jinan 250014, China; (2)Department of Physics, Zhejiang Ocean University, Zhoushan 316000, China
  • 收稿日期:2010-01-23 修回日期:2010-07-02 出版日期:2010-12-15 发布日期:2010-12-15
  • 基金资助:
    Project supported by the National Natural Science Foundation of China (Grant No. 10774152), the Natural Science Foundation of Zhejiang Province of China (Grant No. Y1100088), and the Founding of Zhejiang Ocean University.

Filling dependence of correlation exponents and metal-Mott insulator transition in strongly correlated electron systems

Lin Ming-Xi(林明喜)a) and Qi Sheng-Wen(祁胜文)b)   

  1. a College of Physics and Electronics, Shandong Normal University, Jinan 250014, China; b Department of Physics, Zhejiang Ocean University, Zhoushan 316000, China
  • Received:2010-01-23 Revised:2010-07-02 Online:2010-12-15 Published:2010-12-15
  • Supported by:
    Project supported by the National Natural Science Foundation of China (Grant No. 10774152), the Natural Science Foundation of Zhejiang Province of China (Grant No. Y1100088), and the Founding of Zhejiang Ocean University.

摘要: Using a universal relation between electron filling factor and ground state energy, this paper studies the dependence of correlation exponents on the electron filling factor of one-dimensional extended Hubbard model in a strong coupling regime, and demonstrates that in contrast to the usual Hubbard model (gc=1/2), the dimensionless coupling strength parameter gc heavily depends on the electron filling, and it has a "particle–hole" symmetry about electron quarter filling point. As increasing the nearest neighbouring repulsive interaction, the single particle spectral weight is transferred from low energy to high energy regimes. Moreover, at electron quarter filling, there is a metal-Mott insulator transition at the strong coupling point gc=1/4, and this transition is a continuous phase transition.

Abstract: Using a universal relation between electron filling factor and ground state energy, this paper studies the dependence of correlation exponents on the electron filling factor of one-dimensional extended Hubbard model in a strong coupling regime, and demonstrates that in contrast to the usual Hubbard model (gc=1/2), the dimensionless coupling strength parameter gc heavily depends on the electron filling, and it has a "particle–hole" symmetry about electron quarter filling point. As increasing the nearest neighbouring repulsive interaction, the single particle spectral weight is transferred from low energy to high energy regimes. Moreover, at electron quarter filling, there is a metal-Mott insulator transition at the strong coupling point gc=1/4, and this transition is a continuous phase transition.

Key words: strong correlation, correlation effect, correlation exponent, correlation function

中图分类号:  (Lattice fermion models (Hubbard model, etc.))

  • 71.10.Fd
71.27.+a (Strongly correlated electron systems; heavy fermions) 71.30.+h (Metal-insulator transitions and other electronic transitions)