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

2001/10/31 by Minoru Takahashi, Takahashi, Minoru, Masahiro Shiroishi +1
Physics and Astronomy · #FOS: Physical sciences #Statistical Mechanics (cond-mat.stat-mech) #Strongly Correlated Electrons (cond-mat.str-el) #cond-mat.stat-mech #cond-mat.str-el

paper · pdf · doi:10.48550/arxiv.cond-mat/0110645

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

arxiv created 2001/10/31 · arxiv updated 2009/11/30

Abstract

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 Jüttner, Klümper and Suzuki. The coincidence is surprisingly good. We get high-temperature expansion of grand potential up to β6.

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