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Prog. Theor. Phys. Vol. 52 No. 1 (1974) pp. 103-114

[ Full Text PDF : FREE ACCESS (663K) ]

Low-Temperature Specific-Heat of One-Dimensional Hubbard Model

Minoru Takahashi

Department of Physics, College of General Education, Osaka University, Osaka

(Received February 18, 1974)

Abstract:

Low-temperature specific heat per site (C) of one-dimensional Hubbard model is investigated by the method of non-linear integral equations. For the half-filled case we show lim H →0 lim T →0 C / T = πI0( π/ 2 U )/( 6 I1(π/ 2 U ) ), where T is temperature, H is magnetic field, U is the coupling constant, and I0 and I1 are modified Bessel functions. Although this equation yields lim T, H →0 C / T = π/ 6 in the limit U →0+, the true value of lim T, H →0 C / T at U = 0 is π/ 3. This means that lim T, H →0 C / T is a discontinuous function of U at U = 0. This discontinuity disappears when the band is not half filled.


URL : http://ptp.ipap.jp/link?PTP/52/103/
DOI : 10.1143/PTP.52.103

[ Full Text PDF : FREE ACCESS (663K) ] Citation:

References:

  1. M. Takahashi, Prog. Theor. Phys. 47 (1972), 69[PTP].
  2. E. Lieb and F. Y. Wu, Phys. Rev. Lett. 20 (1968), 1445[APS].
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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 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
  3. 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
  4. 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
  5. 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
  6. Progress of Theoretical Physics Supplement No.108 (1992) pp. 251-263 :
    Exact Solution of Correlated Electron Systems
    Norio Kawakami and Ayao Okiji
  7. Progress of Theoretical Physics Supplement No.108 (1992) pp. 265-286 :
    Properties of One-Dimensional Strongly Correlated Electrons
    Hiroyuki Shiba and Masao Ogata

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