Journal of Statistical Physics

, Volume 27, Issue 4, pp 731–744 | Cite as

Monte Carlo calculation of the thermodynamic properties of a one-dimensional fermion lattice model

  • Hans De Raedt
  • Ad Lagendijk


The generalized Trotter formula is used to derive two different classical representations of the partition function of a one-dimensional fermion model. Shortchain calculations are used to study the corresponding approximants for the energy and specific heat. A Monte Carlo technique has been used to calculate the temperature-dependent properties of a chain of 64 sites.

Key words

Monte Carlo fermion model trotter formula one-dimensional partition function classical representation 


Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.


  1. 1.
    M. Suzuki,Progr. Theor. Phys. 56:1454 (1976).Google Scholar
  2. 2.
    H. F. Trotter,Proc. Amer. Math. Soc. 10:545 (1959).Google Scholar
  3. 3.
    M. Suzuki,Commun. Math. Phys. 51:183 (1976).Google Scholar
  4. 4.
    M. Barma and B. Shiram Shastry,Phys. Lett. 61A:15 (1977);Phys. Rev. B 18:3351 (1978).Google Scholar
  5. 5.
    M. Suzuki, S. Miyashita, and A. Kuroda,Prog. Theor. Phys. 58:1377 (1977).Google Scholar
  6. 6.
    E. Lieb, T. Schultz, and D. Mattis,Annals of Phys. (N.Y.) 16:407 (1961).Google Scholar
  7. 7.
    V. J. Emery, inHighly Conducting One-Dimensional Solids by J. T. Devreese et al., eds. (Plenum Press, New York) 1979.Google Scholar
  8. 8.
    J. Hubbard,Phys. Rev. B 17:494 (1978).Google Scholar
  9. 9.
    F. Wiegel,Phys. Rep. 16C:2 (1976).Google Scholar
  10. 10.
    S. Golden,Phys. Rev. 137B:1127 (1965).Google Scholar
  11. 11.
    L. Hulthén,Arkiv. Mat. Astron. Fysik 26A:1 (1938).Google Scholar
  12. 12.
    J. M. Hammersley and D. C. Handscomb,Monte-Carlo Methods (John Wiley & Sons Inc., New York) 1964.Google Scholar
  13. 13.
    H. De Raedt and A. Lagendijk,Phys. Rev. Lett. 46:77 (1981).Google Scholar

Copyright information

© Plenum Publishing Corporation 1982

Authors and Affiliations

  • Hans De Raedt
    • 1
  • Ad Lagendijk
    • 1
  1. 1.Department of PhysicsUniversitaire Instelling AntwerpenWilrijkBelgium

Personalised recommendations