Quick Search:
Author: Title/Abstract: Vol./No: Page:

Prog. Theor. Phys. Vol. 83 No. 4 (1990) pp. 655-659

[ Full Text PDF : FREE ACCESS (205K) ]

Letters

An Extension of the Thermal Bethe Ansatz

— One-Dimensional Hubbard Model —

Tohru Koma

Department of Physics, Gakushuin University, Tokyo 171

(Received February 5, 1990)

Abstract:

The thermodynamics of the one-dimensional Hubbard model is reduced to a system of algebraic equations through an extension of our thermal Bethe ansatz. This new formalism is free from the string conjecture, or more basically from the unproven assumption of the completeness of the Bethe states.


URL : http://ptp.ipap.jp/link?PTP/83/655/
DOI : 10.1143/PTP.83.655

[ Full Text PDF : FREE ACCESS (205K) ] Citation:


References:

  1. T. Koma, Prog. Theor. Phys. 78 (1987), 1213[PTP]; ibid. 81 (1989), 783[PTP].
  2. M. Suzuki, J. Stat. Phys. 43 (1986), 883, and further references therein.
  3. M. Suzuki and M. Inoue, Prog. Theor. Phys. 78 (1987), 787[PTP].
  4. M. Takahashi and M. Suzuki, Prog. Theor. Phys. 48 (1972), 2187[PTP].
    M. Takahashi, Prog. Theor. Phys. 47 (1972), 69[PTP].
  5. A. A. Vladimirov, Phys. Lett. 105A (1984), 418.
  6. T. Koma and H. Ezawa, Prog. Theor. Phys. 78 (1987), 1009[PTP].
  7. E. Lieb, T. Schultz and D. Mattis, Ann. of Phys. 16 (1961), 407[CrossRef].
    E. Lieb and D. Mattis, Phys. Rev. 125 (1962), 164[APS].
  8. M. Barma and B. S. Shastry, Phys. Lett. 61A (1977), 15.
  9. R. Z. Bariev, Teoret. Mat. Fiz. 49 (1981), 261 [Theor. Math. Phys. 49 (1982), 1021].
  10. H. A. Bethe, Z. Phys. 71 (1931), 205.
    C. N. Yang, Phys. Rev. Lett. 19 (1967), 1312[APS].
    E. H. Lieb and F. Y. Wu, Phys. Rev. Lett. 20 (1968), 1445[APS].
  11. L. A. Takhtadzhan and L. D. Faddeev, Uspekhi Mat. Nauk 34 (1979), 13 [Russian Math. Surveys 34 (1979), 11].
    A. A. Belavin, Phys. Lett. 87B (1979), 117.

Citing Article(s) :

  1. Journal of the Physical Society of Japan 60 (1991) pp. 1460-1463 :
    Temperature Dependence of Spin Correlation Length of Half-Filled One-Dimensional Hubbard Model
    Hirokazu Tsunetsugu
  2. Journal of the Physical Society of Japan 63 (1994) pp. 3951-3961 :
    Correlation Length for the XXZ Spin Chain at Finite Temperature
    Hideyuki Mizuta, Taro Nagao and Miki Wadati