Bulletin of Materials Science

, Volume 3, Issue 2, pp 209–216 | Cite as

Antiferromagnetism in the heisenberg hamiltonian

  • C K Majumdar
Biswas Memorial Symposium On The Chemistry And Physics of Solids Magnetism And Magnetic Properties Of Materials


The shortcomings of the classical theories of antiferromagnetism are reviewed. On the basis of known exact results of several antiferromagnetic models, it is argued that the spin correlation functions may have oscillating behaviour anticipated from the classical Neel states even though the exact ground state is quite different from Neel state. It is also found that as the spin becomes large, the classical results become more and more applicable as seen in Fisher’s model and verified experimentally. A few remarks on the broken symmetry are made. The existence of an anisotropic antiferromagnetic model with Neel states as ground state is pointed out.


Antiferromagnetism magnetic order 


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  1. Anderson P W 1964Concepts in solids (New York: Benjamin) p. 175Google Scholar
  2. Anderson P W 1966Solid state physics eds F Seitz and D Turnbull (New York: Academic Press)14 99Google Scholar
  3. Bethe H 1931Z. Phys. 71 205CrossRefGoogle Scholar
  4. Bonner J and Fisher M E 1964Phys. Rev. 135 A140Google Scholar
  5. Bose I and Majumdar C K (unpublished work)Google Scholar
  6. Endoh Y, Shirane G, Birgeneau R J, Richards P M and Holt S L 1974Phys. Rev. Lett. 32 170CrossRefGoogle Scholar
  7. Fisher M E 1960aPhysica 26 618CrossRefGoogle Scholar
  8. Fisher M E 1960bProc. R. Soc. (London) A 254 66Google Scholar
  9. Fisher M E 1960cProc. R. Soc. (London) A256 502Google Scholar
  10. Fisher M E 1962Philos. Mag. 7 173CrossRefGoogle Scholar
  11. Fisher M E 1964Am. J. Phys. 32 343CrossRefGoogle Scholar
  12. Fisher M E 1974Rev. Mod. Phys. 46 597CrossRefGoogle Scholar
  13. Hutchings M T, Shirane G, Biregeneau R J and Holt S L 1972Phys. Rev. B5 1099Google Scholar
  14. Jain C S, Krishan K, Majumdar C K and Mubayi V 1975Phys. Rev. B12 5235Google Scholar
  15. Kittel C 1977Introduction to solid state physics 5th edition (New Delhi: Wiley Eastern) 479Google Scholar
  16. Kittel C 1963Quantum theory of solids (New York and London: John Wiley) Ch. 4 p. 49Google Scholar
  17. Kefer F 1966Handbuch der physik 18 1Google Scholar
  18. Majumdar C K and Ghosh D K 1969J. Math. Phys. 10 1388, 1399CrossRefGoogle Scholar
  19. Majumdar C K 1970J. Phys. C3 911Google Scholar
  20. Neel L 1932Ann. Phys. 17 64Google Scholar
  21. Shastry B S and Majumdar C K 1973Phys. Rev. B12 2856Google Scholar
  22. Vleck J van 1941J. Chem. Phys. 9 85CrossRefGoogle Scholar

Copyright information

© The Indian Academy of Sciences 1981

Authors and Affiliations

  • C K Majumdar
    • 1
  1. 1.Physics DepartmentUniversity of CalcuttaCalcuttaIndia

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