- Physical Review Journals
All JournalsPhysics Magazine
Access Provided by Xinjiang University

Reviews of Modern Physics

Export citation

Export citation

Choose format for download:

Download Citation
  • Access by Xinjiang University

Two-Dimensional Ising Model as a Soluble Problem of Many Fermions

T. D. SCHULTZ, D. C. MATTIS, and E. H. LIEB

T. D. SCHULTZ and D. C. MATTIS

  • International Business Machines Corporation, Thomas J. Watson Research Center, Yorktown Heights, New York

E. H. LIEB

  • Belfer Graduate School of Science, Yeshiva University, New York, New York

PDF

Rev. Mod. Phys. 36, 856 – Published 1 July, 1964

DOI: https://doi.org/10.1103/RevModPhys.36.856

References (34)

  1. L. Onsager, Phys. Rev. 65, 117 (1944)
  2. G. F. Newell and E. W. Montroll, Rev. Mod. Phys. 25, 353 (1953) C. Domb, Phil. Mag. Suppl. 9, 151 (1960)
  3. B. Kaufman, Phys. Rev. 76, 1232 (1949) B. Kaufman and L. Onsager, 76, 1244 (1949) Y. Nambu, Progr. Theoret. Phys. (Kyoto) 5, 1 (1950) K. Husimi and I., Syôzi, 5, 177 (1950) I. Syôzi 5, 341 (1950)
  4. C. N. Yang, Phys. Rev. 85, 808 (1952)
  5. B. L. van der Waerden, Z. Physik 118, 473 (1941)
  6. M. Kac and J. C. Ward, Phys. Rev. 88, 1332 (1952) S. Sherman, J. Math, Phys. 1, 202 (1960) P. N. Burgoyne, J. Math. Phys. 4, 1320 (1963)
  7. R. B. Potts and J. C. Ward, Progr. Theoret. Phys. (Kyoto) 13, 38 (1955)
  8. C. A. Hurst and H. S. Green, J. Chem. Phys. 33, 1059 (1960) A. M. Dykhne and Yu. B. Rumer, Usp. Fiz. Nauk 75, 101 (1961) [English transl.: Soviet Phys.—Usp. 4, 698 (1962)]
  9. P. W. Kasteleyn, J. Math. Phys. 4, 287 (1963)
  10. E. W. Montroll, R. B. Potts, and J. C. Ward, J. Math, Phys. 4, 308 (1963)
  11. N. N. Bogolubov, Nuovo Cimento 7, 794 (1958)
  12. J. G. Valatin, Nuovo Cimento 7, 843 (1958)
  13. Newell and Montroll, Ref. 2 E. W. Montroll, J. Chem. Phys. 9, 706 (1941) H. A. Kramers and G. H. Wannier, Phys. Rev. 60, 252 (1941) E. N. Lassettre and J. P. Howe, J. Chem. Phys. 9, 747 (1941) R. Kubo, Busseiron Kenkyu 1, 1943
  14. MontrollLasette and Howe, Kramers and Wannier13 13 by , 13 Schmidt.15
  15. H. Schmidt, Phys. Rev. 105, 425 (1957)

  16. Omitted endnote

  17. Omitted endnote

  18. Omitted endnote

  19. P. Jordan and E. Wigner, Z. Physik 47, 631 (1928) [E. Lieb, T. Schultz, and D. Mattis, Ann. Phys. 16, 407 (1961)] E. Lieb and D. Mattis, Phys. Rev. 125, 164 (1962) [T. Schultz, J. Math. Phys. 4, 666 (1963)]
  20. J. Bardeen, L. Cooper, and J. Schrieffer, Phys. Rev. 108, 1175 (1957)
  21. P. W. Anderson, Phys. Rev. 112, 1900 (1958)

  22. Omitted endnote

  23. Domb, Ref. 2, p. 194
  24. J. Ashkin and W. E. Lamb, Phys. Rev. 64, 159 (1943)
  25. K. Huang, Statistical Mechanics (John Wiley & Sons, Inc., New York, London, 1963), pp. 369 ff
  26. E. Lieb, D. Mattis, and T. Schultz, Ann. Phys. 16, 407 (1961) pp. 417 ff
  27. V. Grenander and G. Szego, Toeplitz Forms and their Applications (University of California Press, Berkeley, California, 1958) M. Kac, Probability and Related Topics in Physical Sciences (Interscience Publishers, Inc., New York, 1959)

  28. Omitted endnote

  29. Omitted endnote

  30. Omitted endnote

  31. Omitted endnote

  32. Omitted endnote

  33. Omitted endnote

  34. Omitted endnote

Outline

Information

Rev. Mod. Phys. 36, 856– Published 1 July, 1964

    © 1964 American Physical Society

    Sign In to Your Journals Account

    Filter

    Filter

    Article Lookup

    Enter a citation