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arXiv · 1806.05364

D--dimensional half--filled Hubbard model. Zero temperature paramagnetic solution

N. I. Chashchin
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Abstract

In this paper we investigate effects of a lattice dimension on strongly correlated electronic systems at $T=0 K$. The model for numerical calculations is formalized in terms of the integral equations which were obtained previously for the half -- filled paramagnetic Hubbard model. The assumption that all relevant functions of the system have a magnitude dependence of momentus vectors makes ultimately possible treating a lattice dimension $D$ as an external parameter. We here submit for consideration the number of doubly occupied lattice sites, the electronic density of states, and the momentum distribution in electronic occupation numbers at $D$=1, $D$=2, $D$=3

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N. I. Chashchin. 2018-06-14. D--dimensional half--filled Hubbard model. Zero temperature paramagnetic solution. https://doi.org/10.1134/s0031918x1607036

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