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2016 | 49 | 2 | 59-77
Article title

Energy of strongly correlated electron systems

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EN
Abstracts
EN
The constrained path Monte Carlo method was used to solve the Hubbard model for strongly correlated electrons systems analytically in arbitrary dimensions for one, two and three dimensional lattices. The energy variations with electron filling, electron-electron correlation strength and time as well as the kinetic and potential energies of these system were studied. A competition between potential and kinetic energies as well as a reduction of the rate of increase of the potential energy with increasing correlation were observed. The degenerate states of the lattice systems at zero correlation and the increase in the energy separation of the states at higher correlation strengths were evident. The variation of the energy per site with correlation strength of different lattice sizes and dimensions were obtained at half filling. From these it was apparent that the most stable lattices were the smallest for all the different dimensions. For one dimension, the convergence of the results of the constrained path method with the exact non-linear field theory results was observed.
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Volume
49
Issue
2
Pages
59-77
Physical description
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author
References
  • [1] J. Boer, E. J. W. Verwey, Semi-conductors with partially and with completely filled 3d lattice bands, Proc. Phys. Soc., vol. 49, no. 4S, pp. 59-71, 1937.
  • [2] N. F. Mott, Metal-Insulator Transition, Rev. Mod. Phys., vol. 40, no. 4, pp. 677-683, 1968.
  • [3] J. Kondo, Resistance Minimum in Dilute Magnetic Alloys, Prog. Theo. Phys. vol. 32, no. 1, pp. 37-49, 1964.
  • [4] H. Barman, “Diagrammatic perturbation theory based investigations of the Mott transition physics”, (Ph.D. Thesis, Theoretical science unit, Jawaharlal Nehru centre for advanced scientific research, Bangalore, India, 2013)
  • [5] V. N. Antonov, L. V. Bekenov, and A. N. Yaresko, Electronic Structure of Strongly Correlated Systems, Advances Cond. Matt. Phys. 298928, pp.1-107, 2011.
  • [6] D. Vollhardt, Dynamical mean-field theory for correlated electrons. Annalen Der Physik, vol. 524, no. 1, pp. 1-19, 2011.
  • [7] G. Kotliar, A. Georges, Hubbard model in infinite dimensions, Phys. Rev. B, vol. 45, no. 12, pp. 6479-6483, 1992.
  • [8] A. Tomas, QUEST: QUantum Electron Simulation Toolbox. Available at: http://quest.ucdavis.edu/documentation.html, 2012.
  • [9] H. Nguyen, H. Shi, J. Xu, and S. Zhang, CPMC-Lab: A Matlab package for Constrained Path Monte Carlo calculations, Comp. Phys. Comm., vol. 185, no. 12, pp. 3344-3357, 2014.
  • [10] F. D. M. Haldane, Nonlinear Field Theory of Large-Spin Heisenberg Antiferromagnets: Semiclassically Quantized Solitons of the One-Dimensional Easy-Axis Néel State. Phys. Rev. Lett. 50(15) (1983) 1153-56.
Document Type
article
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YADDA identifier
bwmeta1.element.psjd-ba21e450-2ddf-4ac2-9f84-10aa24451c32
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