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AIP conference proceedings

THERMODYNAMIC PROPERTIES OF THE ONE-DIMENSIONAL HALF-FILLED HUBBARD MODEL

Hiroyuki Shiba, Philip A. Pincus, C. D. Graham, James Jennings Rhyne

Published Jan 1, 1972• 0 citations
Publisher
DOI
10.1063/1.3699472

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Entropy, internal energy, specific heat, and magnetic susceptibility of the one-dimensional negative-U extended Hubbard model are computed. An analytical solution of magnetic susceptibility in the strong-coupling (|U|→∞) limit is obtained. Therma-dynamic properties of the system can be discussed in two temperature regions. The high T-region corresponds to decrease in number of double occupied states. The low T-region corresponds to the distribution of electron charge. The effect of W on the-rmodynamic properties is obvious.
A perturbation expansion for the thermodynamic potential is performed to the third order by HTSE method. Entropy, internal energy, specific heat, and magnetic susceptibility of the one-dimensional extended Hubbard model are computed as functions of temperature, electron density, and t, U, W. Thermodynamics can be discussed in two temperature regions. The high T-region corresponds to increase in number of double occupied states. The low T-region corresponds to the distribution of electron spin. The effect of t on thermodynamic properties is obvious.