Mott transition in the asymmetric hubbard model at half-filling: Equation of motion approach

详细信息    查看全文

• 作者：Anh-Tuan Hoang ; Thi-Thu-Trang Tran ; Duc-Anh Le
• 关键词：Metal ; insulator transition ; Asymmetric Hubbard model ; Equation of motion approach
• 刊名：Journal of the Korean Physical Society
• 出版年：2016
• 出版时间：January 2016
• 年：2016
• 卷：68
• 期：2
• 页码：238-242
• 全文大小：431 KB
• 参考文献：[1]J. Hubbard, Proc. R. Soc. London A 276, 238 (1963).CrossRef ADS
  [2]L. M. Falikov and J. C. Kimball, Phys. Rev. Lett. 22, 997 (1969).CrossRef ADS
  [3]S. J. Gu, R. Fan and H. Q. Lin, Phys. Rev. B 76, 125107 (2007).CrossRef ADS
  [4]P. Farkasovsky, Phys. Rev. B 77, 085110 (2008).CrossRef ADS
  [5]R. Jordens, N. Strohmeir, K. Gunter, H. Moritz and T. Esslinger, Nature 455, 204 (2008).CrossRef ADS
  [6]A. Georges, G. Kotliar, W. Krauth and M. J. Rozenberg, Rev. Mod. Phys. 68, 13 (1996).CrossRef ADS MathSciNet
  [7]T. L. Dao, M. Ferrero, P. S. Cornaglia and M. Capone Phys. Rev. A 85, 013606 (2012).CrossRef ADS
  [8]E. A. Winograd, R. Chitra and M. J. Rozenberg, Phys. Rev. B 84, 233102 (2011).CrossRef ADS
  [9]E. A. Winograd, R. Chitra and M. J. Rozenberg, Phys. Rev. B 86, 195118 (2012).CrossRef ADS
  [10]Q. Feng, Study of single impurity Anderson model and dynamical mean field theory based on equation of motion method (Dissertation zur Erlangung des Doktorgrades der Naturwissenschaften, Goether Universitat Frankfurt in Frankfurt am Main, 2009), Chap. 2, p. 19.
  [11]Y. Meir, N. S. Wingreen and P. A. Lee, Phys. Rev. Lett. 66, 3048 (1991).CrossRef ADS
  [12]P. G. J. van Dongen and D. Vollhardt, Phys. Rev. Lett. 65, 1663 (1990).CrossRef ADS
  [13]J. Hubbard, Proc. R. Soc. London A 281, 401 (1964).CrossRef ADS
  [14]F. Gebhard, The Mott Metal-Insulator Transition: Models and Methods (Springer, Berlin, 1997), Chap. 3, p. 106.
  [15]I. V. Stasyuk and O. B. Hera, Eur. Phys. J. B 48, 339 (2005).CrossRef ADS
  
• 作者单位：Anh-Tuan Hoang (1)
  Thi-Thu-Trang Tran (2)
  Duc-Anh Le (3)
  
  1. Institute of Physics, Vietnam Academy of Science and Technology, 10 Dao Tan, Hanoi, Vietnam
  2. Ha Long University, Nam Khe, Uong Bi, Quang Ninh, Vietnam
  3. Faculty of Physics, Hanoi National University of Education, Xuan Thuy 13, Hanoi, Vietnam
  
• 刊物主题：Physics, general; Theoretical, Mathematical and Computational Physics; Particle and Nuclear Physics;
• 出版者：Springer Netherlands
• ISSN：1976-8524

文摘

We investigate the Mott metal-insulator transition in the asymmetric Hubbard model, which may describe the ground states of fermionic atoms trapped in optical lattices. We use the dynamical mean-field theory and the equation of motion approach to calculate the density of states at the Fermi level and the double occupation for various values of the on-site interaction U and the hopping asymmetry r. The critical interaction is also obtained as a function of the hopping asymmetry. Our results are in good agreement with the ones obtained by using the dynamical mean field theory with the exact diagonalization and the quantum Monte Carlo techniques. Keywords Metal-insulator transition Asymmetric Hubbard model Equation of motion approach