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2008 | 114 | 1 | 175-178
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Correlated Electron Systems of Different Dimensionalities

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The optimized single-particle wave functions contained in the parameters of the Hubbard model (hopping integral t and intraatomic interaction U) are determined explicitly in the correlated state for electronic systems of various symmetries and dimensions: Hubbard chain, square and triangular lattices, and the three cubic lattices: SC, BCC, and FCC. In effect, the electronic properties of these structures as a function of the interatomic distance R are obtained. In most cases, the model parameters do not scale linearly with the lattice constant. Also, the atomic part of the total ground state energy changes with the U/t ratio and therefore should be (and is) included in the analysis. The solutions of dimensions D>1 are analyzed by utilizing the approximate Gutzwiller treatment.
  • Instytut Fizyki, Politechnika Krakowska, Podchorążych 1, 30-084 Kraków, Poland
  • Instytut Fizyki, Politechnika Krakowska, Podchorążych 1, 30-084 Kraków, Poland
  • Instytut Fizyki im. Mariana Smoluchowskiego, Uniwersytet Jagielloński, Reymonta 4, 30-059 Kraków, Poland
  • 1. A. Rycerz, J. Spałek, Phys. Rev. B 65, 035110 (2002)
  • 2. A. Rycerz, Ph.D. Thesis, Uniwersytet Jagielloński, Kraków 2003;
  • 3. E.M. Görlich, J. Kurzyk, A. Rycerz, R. Zahorbeński, R. Podsiadły, W. Wójcik, J. Spałek, in: Molecular Nanowires and Other Quantum Objects, Eds. A.S. Alexandrov, J. Demsar, I.Yanson, Kluwer Academic Publisher, Dordrecht 2004, p. 355
  • 4. J. Spałek, A. Rycerz, Phys. Rev. B 64, 161105 (2001);A. Rycerz, J. Spałek, Eur. Phys. J. B 40, 153 (2004)
  • 5. J. Spałek, E.M. Görlich, A. Rycerz, R. Zahorbeński, J. Phys., Condens. Matter 19, 25512 (2007);arXiv:cond-mat/0610815 (2006)
  • 6. M.C. Gutzwiller, Phys. Rev. Lett. 10, 159 (1963);Phys. Rev. 137, A1726 (1965)
  • 7. J. Kurzyk, J. Spałek, W. Wójcik, Acta Phys. Pol. A 111, 603 (2007);arXiv:0706.1266 (2007)
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