Nearly universal crossing point of the specific heat curves of Hubbard models

Details Nearly universal crossing point of the specific heat curves of Hubbard models Nearly universal crossing point of the specific heat curves of Hubbard models

1998-10-29

arxiv.org/abs/cond-mat/9810391v2

Phys. Rev. B 59, 10541 (1999)

Physics

Condensed Matter

Strongly Correlated Electrons

Revtex, 9 pages, 6 figures

Scientific paper

10.1103/PhysRevB.59.10541

A nearly universal feature of the specific heat curves C(T,U) vs. T for different U of a general class of Hubbard models is observed. That is, the value C_+ of the specific heat curves at their high-temperature crossing point T_+ is almost independent of lattice structure and spatial dimension d, with C_+/k_B \approx 0.34. This surprising feature is explained within second order perturbation theory in U by identifying two small parameters controlling the value of C_+: the integral over the deviation of the density of states N(\epsilon) from a constant value, characterized by \delta N=\int d\epsilon |N(\epsilon)-1/2|, and the inverse dimension, 1/d.

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