Skip to main content
SpringerLink
Log in

Finite temperature properties and frustrated ferromagnetism in a square lattice Heisenberg model

  • Published:
The European Physical Journal B - Condensed Matter and Complex Systems Aims and scope Submit manuscript

Abstract.

The spin 1/2 Heisenberg model on a square lattice with antiferromagnetic nearest- and next-nearest neighbour interactions (the J 1-J 2 model) has long been studied as a paradigm of a two-dimensional frustrated quantum magnet. Only very recently, however, have the first experimental realisations of such systems been synthesized. The newest material, Pb2VO(PO4)2 seems to have mixed ferro- and antiferromagnetic exchange couplings. In the light of this, we extend the semiclassical treatment of the J 1-J 2 model to include ferromagnetic interactions, and present an analysis of the finite temperature properties of the model based on the exact diagonalization of 8, 16 and 20 site clusters. We propose that diffuse neutron scattering can be used to resolve the ambiguity inherent in determining the ratio and sign of J 1 and J 2 from thermodynamic properties alone, and use a finite temperature Lanczos algorithm to make predictions for the relevant high temperature spin-spin correlation functions. The possibility of a spin-liquid phase occurring for ferromagnetic J 1 is also briefly discussed.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Log in via an institution

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Institutional subscriptions

Similar content being viewed by others

References

  1. G. Misguich, C. Lhuillier, Frustrated Spin Systems, 2nd edn., edited by H.T. Diep (World Scientific, 2004)

  2. S. Sorella, Phys. Rev. Lett. 80, 4558 (1998)

    Article  Google Scholar 

  3. P. Millet, C. Satto, Mat. Res. Bull. 33, 1339 (1998)

    Article  Google Scholar 

  4. R. Melzi, P. Carretta, A. Lascialfari, M. Mambrini, M. Troyer, P. Millet, F. Mila, Phys. Rev. Lett. 85, 1318 (2000)

    Article  Google Scholar 

  5. R. Melzi, S. Aldrovandi, F. Tedoldi, P. Carretta, P. Millet, F. Mila, Phys. Rev. B 64, 024409 (2001)

    Article  Google Scholar 

  6. E.E. Kaul, H. Rosner, N. Shannon, R.V. Shpanchenko, C. Geibel, International Conference on Magnetism, Rome (to be published, 2003)

  7. J. Villain, J. Phys. Chem. Sol. 11, 303 (1959)

    Article  Google Scholar 

  8. R.R.P. Singh, Z. Weihong, C.J. Hamer, J. Oitmaa, Phys. Rev. B 60, 7278 (1999)

    Article  Google Scholar 

  9. P. Chandra, B. Doucot, Phys. Rev. B 38, 9335 (1988)

    Article  Google Scholar 

  10. E.F. Shender, Sov. Phys. - JETP 56, 178 (1982)

    Google Scholar 

  11. C.L. Henley, Phys. Rev. Lett. 62, 2056 (1989)

    Article  Google Scholar 

  12. P. Chandra, P. Coleman, A.I. Larkin, Phys. Rev. Lett. 64, 88 (1990)

    Article  Google Scholar 

  13. J. Igarashi, Phys. Rev. B 46, 10763 (1992)

    Article  Google Scholar 

  14. G. Misguich, B. Bernu, C. Lhuillier, C. Waldtmann, Phys. Rev. Lett. 81, 1098 (1998)

    Article  Google Scholar 

  15. J. Fouet, P. Sindzingre, C. Lhuillier, Eur. Phys. J. B 20, 241 (2001)

    Article  Google Scholar 

  16. E. Dagotto, A. Moreo, Phys. Rev. B 39, 4744 (1989)

    Article  Google Scholar 

  17. O.P. Sushkov, J. Oitmaa, Z. Weihong, Phys. Rev. B 63, 104420 (2001)

    Article  Google Scholar 

  18. H. Rosner, R.R.P. Singh, W.H. Zheng, J. Oitmaa, W.E. Pickett, Phys. Rev. B 67, 014416 (2003)

    Article  Google Scholar 

  19. G. Misguich, B. Bernu, L. Pierre. Phys. Rev. B 68, 113409 (2003)

    Article  Google Scholar 

  20. H.J. Schulz, T.A.L. Ziman, D. Poilblanc, J. Phys. I France 6, 675 (1996)

    Article  Google Scholar 

  21. P.W. Anderson, Phys. Rev. 86, 694 (1952)

    Article  MATH  Google Scholar 

  22. B. Bernu, C. Lhuillier, L. Pierre, Phys. Rev. Lett. 69, 2590 (1992)

    Article  Google Scholar 

  23. P. Azaria, B. Delamotte, D. Mouhanna, Phys. Rev. Lett. 70, 2483 (1993)

    Article  Google Scholar 

  24. E. Rastelli, L. Reatto, A. Tassi, J. Phys. C 19, 6623 (1986)

    Article  Google Scholar 

  25. D.V. Dmitriev, V.Y. Krivnov, A.A. Ovchinnikov, Phys. Rev. B 55, 3620 (1997)

    Article  Google Scholar 

  26. H. Rosner, R.R.P. Singh, W.H. Zheng, J. Oitmaa, S.-L. Drechsler, W.E. Pickett, Phys. Rev. Lett. 88, 186405 (2002)

    Article  Google Scholar 

  27. M. Roger, Phys. Rev. B 58, 11115 (1998)

    Article  Google Scholar 

  28. C. Weber, L. Capriotti, G. Misguich, F. Becca, M. Elhajal, F. Mila, Phys. Rev. Lett. 91, 177202 (2003)

    Article  Google Scholar 

  29. J. Jaklic, P. Prelovsek, Adv. Phys. 49, 1 (2000)

    Article  Google Scholar 

  30. R.R.P. Singh, R. Narayanan, Phys. Rev. Lett. 65, 1072 (1990)

    Article  Google Scholar 

  31. S. Bacci, E. Gagliano, E. Dagotto, Phys. Rev. B 44, 285 (1991)

    Article  Google Scholar 

  32. N.W. Ashcroft, N.D. Mermin, Solid State Physics (Saunders College Publishing, Philadelphia, 1988)

  33. N. Shannon, Eur. Phys. J. B 27, 527 (2002)

    Article  Google Scholar 

  34. M.V.D. Bossche, F.-C. Zhang, F. Mila, Eur. Phys. J. B 17, 367 (2000)

    Article  Google Scholar 

  35. P. W. Anderson, Phys. Rev. 83, 1260 (1951)

    Article  MATH  Google Scholar 

  36. H. Nishimori, Y. Ozeki, J. Phys. Soc. Jpn 58, 1027 (1989)

    Google Scholar 

Download references

Author information

Authors and Affiliations

  1. SPEC, CEA Saclay, Orme des Merisiers, 91191, Gif-sur-Yvette Cedex, France

    N. Shannon

  2. Max-Planck-Institut für Chemische Physik fester Stoffe, Nöthnitzer Str. 40, 01187, Dresden, Germany

    B. Schmidt & P. Thalmeier

  3. Research Institute of Solid State Physics and Optics, P.O.B. 49, 1525, Budapest, Hungary

    K. Penc

Authors
  1. N. Shannon
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. B. Schmidt
    View author publications

    You can also search for this author in PubMed Google Scholar

  3. K. Penc
    View author publications

    You can also search for this author in PubMed Google Scholar

  4. P. Thalmeier
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding author

Correspondence to B. Schmidt.

Additional information

Received: 19 March 2004, Published online: 8 June 2004

PACS:

71.27. + a Strongly correlated electron systems; heavy fermions - 71.10.-w Theory and models of many-electron systems - 75.40.Cx Static properties (order parameter, static susceptibility, heat capacities, critical exponents, etc.)

Rights and permissions

Reprints and permissions

About this article

Cite this article

Shannon, N., Schmidt, B., Penc, K. et al. Finite temperature properties and frustrated ferromagnetism in a square lattice Heisenberg model. Eur. Phys. J. B 38, 599–616 (2004). https://doi.org/10.1140/epjb/e2004-00156-3

Download citation

  • Issue Date:

  • DOI: https://doi.org/10.1140/epjb/e2004-00156-3

Keywords

Search

Navigation