HOME    |    BROWSE    |    SEARCH    |    SUBSCRIPTION   |    SUBMISSION    |    REGISTRATION

Quick Search:
Author: Title/Abstract: Vol./No: Page:
PTP Online Top > Volume 47 (1972) > Number 1
| Next Article >

Prog. Theor. Phys. Vol. 47 No. 1 (1972) pp. 69-82

[ Full Text PDF : FREE ACCESS (515K) ]

One-Dimensional Hubbard Model at Finite Temperature

Minoru Takahashi

Department of Physics, University of Tokyo, Tokyo

(Received June 5, 1971)

Abstract:

The method of integral equations with infinitely many unknowns which were used for the one-dimensional Heisenberg model and electron gas is applied to the one-dimensional Hubbard model. From these equations one can calculate energy, entropy, density and magnetization at given temperature, chemical potential and magnetic field.


URL : http://ptp.ipap.jp/link?PTP/47/69/
DOI : 10.1143/PTP.47.69

[ Full Text PDF : FREE ACCESS (515K) ] Citation:

References:

  1. E. H. Lieb and F. Y. Wu, Phys. Rev. Lett. 20 (1968), 1445[APS].
  2. M. Takahashi, Prog. Theor. Phys. 42 (1969), 1098[PTP]; ibid. 43 (1970), 860[PTP]; ibid. 43 (1970), 1619[PTP].
  3. M. Takahashi, Prog. Theor. Phys. 46 (1971), 1388[PTP].
  4. J. B. Sokoloff, Phys. Rev. B 2 (1970), 779[APS].
  5. M. Takahashi, Prog. Theor. Phys. 46 (1971), 401[PTP].

Citing Article(s) :

  1. Journal of the Physical Society of Japan 59 (1990) pp. 1357-1365 :
    Thermodynamic Quantities of the One-Dimensional Hubbard Model at Finite Temperatures
    Tatsuya Usuki, Norio Kawakami and Ayao Okiji
  2. 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
  3. Journal of the Physical Society of Japan 64 (1995) pp. 4392-4401 :
    Crossover of Spin Correlations in One-Dimensional Hubbard Model Studied by Quantum Monte Carlo Method
    Youichirou Iino and Masatoshi Imada
  4. Journal of the Physical Society of Japan 65 (1996) pp. 2772-2775 :
    Detection of Pairing from the Extended Aharonov-Bohm Period in Strongly Correlated Electron Systems
    Koichi Kusakabe and Hideo Aoki
  5. Journal of the Physical Society of Japan 66 (1997) pp. 1950-1953 :
    Boundary Bound States for the Open Hubbard Chain with Boundary Fields
    Osamu Tsuchiya and Takashi Yamamoto
  6. Journal of the Physical Society of Japan 66 (1997) pp. 2075-2085 :
    Bethe-Ansatz Analysis of the Extended AB Period in the One-Dimensional Hubbard Model
    Koichi Kusakabe
  7. Journal of the Physical Society of Japan 68 (1999) pp. 744-747 :
    Thermodynamics of Doped Kondo Insulator in One Dimension - Finite-Temperature DMRG Study -
    Naokazu Shibata and Hirokazu Tsunetsugu
  8. Journal of the Physical Society of Japan 68 (1999) pp. 2331-2337 :
    Critical Properties in Dynamical Charge Correlation Function for the One-Dimensional Mott Insulator
    Tatsuya Fujii and Norio Kawakami
  9. Journal of the Physical Society of Japan 68 (1999) pp. 2810-2816 :
    Spin Transport Properties of the Quantum One-Dimensional Non-Linear Sigma Model: an Application to Haldane Gap Systems
    Satoshi Fujimoto
  10. Journal of the Physical Society of Japan 70 (2001) pp. 2531-2541 :
    Fermionic R-Operator and Algebraic Structure of 1D Hubbard Model: Its Application to Quantum Transfer Matrix
    Yukiko Umeno
  11. Journal of the Physical Society of Japan 78 (2009) 104719 (4 pages) :
    Universal Temperature Dependence of Electron Number in One-Dimensional Hubbard Model
    Jun Maeda and Sei-ichiro Suga
  12. Journal of the Physical Society of Japan 79 (2010) 043707 (4 pages) :
    Spectral Properties of Interacting One-Dimensional Spinless Fermions
    Masanori Kohno, Mitsuhiro Arikawa, Jun Sato, and Kazumitsu Sakai
  13. Progress of Theoretical Physics Vol. 48 No. 6 (1972) pp. 2171-2186 :
    Thermodynamic Properties of the One-Dimensional Half-Filled-Band Hubbard Model. II
    Hiroyuki Shiba
  14. Progress of Theoretical Physics Vol. 52 No. 1 (1974) pp. 103-114 :
    Low-Temperature Specific-Heat of One-Dimensional Hubbard Model
    Minoru Takahashi
  15. Progress of Theoretical Physics Vol. 68 No. 3 (1982) pp. 764-780 :
    Phase Transition in Fermion Lattice Gas with Infinite-Ranged Interaction. I
    Hikaru Kawamura
  16. Progress of Theoretical Physics Vol. 83 No. 4 (1990) pp. 655-659 :
    An Extension of the Thermal Bethe Ansatz
    Tohru Koma
  17. Progress of Theoretical Physics Supplement No.101 (1990) pp. 429-440 :
    Characteristics of Dressed Particles in the 1D Correlated Electron Systems
    Norio Kawakami and Ayao Okiji
  18. Progress of Theoretical Physics Supplement No.108 (1992) pp. 251-263 :
    Exact Solution of Correlated Electron Systems
    Norio Kawakami and Ayao Okiji
  19. Progress of Theoretical Physics Supplement No.108 (1992) pp. 265-286 :
    Properties of One-Dimensional Strongly Correlated Electrons
    Hiroyuki Shiba and Masao Ogata

[PTP HOME] [BROWSE] [SEARCH] [SUBSCRIPTION] [SUBMISSION] [REGISTRATION]

Copyright © Progress of Theoretical Physics 2013 All rights reserved.