TBA Equations of 1D Hubbard Model and High-Temperature Expansion

Details TBA Equations of 1D Hubbard Model and High-Temperature Expansion TBA Equations of 1D Hubbard Model and High-Temperature Expansion

2001-10-31

arxiv.org/abs/cond-mat/0110645v1

Physics

Condensed Matter

Strongly Correlated Electrons

16 pages, 3 figures, 1 tables, 1 mathematica notebook

Scientific paper

New numerical method to calculate thermodynmic Bethe ansatz equations is proposed based on Newton's method. Thermodynamic quantities of one-dimensional Hubbard model is numerically calculated and compared with high temperature expansion and numerical results of quantum transfer matrix method by J\"uttner, Kl\"umper and Suzuki. The coincidence is surprisingly good. We get high-temperature expansion of grand potential up to $\beta^6$.

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