Correlated Electron Systems of Different Dimensionalities |
| J. Kurzyk, W. Wójcik
Instytut Fizyki, Politechnika Krakowska, Podchorążych 1, 30-084 Kraków, Poland and J. Spałek Instytut Fizyki im. Mariana Smoluchowskiego, Uniwersytet Jagielloński, Reymonta 4, 30-059 Kraków, Poland |
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| Received: 6 11 2007; |
| 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. |
| DOI: 10.12693/APhysPolA.114.175 PACS numbers: 71.27.+a, 71.30.+h, 71.10.Fd |