Skip to main content
Log in

A determination of the low energy parameters of the 2-d Heisenberg antiferromagnet

  • Published:
Zeitschrift für Physik B Condensed Matter

Abstract

We perform numerical simulations of the 2-d Heisenberg antiferromagnet using a cluster algorithm. Comparing the size and temperature effects of various quantities with results from chiral perturbation theory we determine the low energy parameters of the system very precisely. We finde 0=−0.6693(1)J/a 2 for the ground state energy density, ℳ s = 0.3074(4)/a 2 for the staggered magnetization,ħc=1.68(1)J a for the spin wave velocity andp s =0.186(4)J for the spin stiffness. Our results agree with experimental data for the precursor insulators of high-T c superconductors.

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

Access this article

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

Instant access to the full article PDF.

Similar content being viewed by others

References

  1. Bednorz, J.G., Müller, K.A.: Z. Phys. B64, 189 (1986)

    Google Scholar 

  2. Hasenfratz, P., Niedermayer, F.: Bern Preprint 1992, BUTP-92/46 (to be published in Z. Phys. B)

  3. Fisher, D.S.: Phys. Rev. B39, 11783 (1989)

    Google Scholar 

  4. Neuberger, H., Ziman, T.: Phys. Rev. B39, 2608 (1989)

    Google Scholar 

  5. Hasenfratz, A. et al.: Z. Phys. C46, 257 (1989)

    Google Scholar 

  6. Dimitrović, I., Hasenfratz, P., Nager, J., Niedermayer, F.: Nucl. Phys. B350, 893 (1991)

    Google Scholar 

  7. Wiese, U.-J., Ying, H.-P.: Phys. Lett. A168, 143 (1992)

    Google Scholar 

  8. Evertz, H.G., Lana, G., Marcu, M.: Phys. Rev. Lett.70, 87 (1993)

    Google Scholar 

  9. Barnes, T.: Int. J. Mod. Phys. C2, 659 (1991)

    Google Scholar 

  10. Zheng, W., Oitmaa, J., Hamer, C.J.: Phys. Rev. B43, 8321 (1991)

    Google Scholar 

  11. Makivić, M.S., Ding, H.-Q.: Phys. Rev. B43, 3562 (1991)

    Google Scholar 

  12. Aeppli, G. et al.: Phys. Rev. Lett.62, 2052 (1989)

    Google Scholar 

  13. Singh, R.R.P. et al.: Phys. Rev. Lett.62, 2736 (1989)

    Google Scholar 

  14. Birgeneau, R.J. et al.: In: the Proceedings of ICNS'91 (1991)

  15. Hasenfratz, P., Niedermayer, F.: Phys. Lett. B268, 231 (1990)

    Google Scholar 

  16. Birgeneau, R.J.: (Private communication and MIT Preprint 1993)

  17. Wiese, U.-J.: Phys. Lett. B311, 235 (1993)

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Additional information

Supported by the Schweizer Nationalfond

Rights and permissions

Reprints and permissions

About this article

Cite this article

Wiese, U.J., Ying, H.P. A determination of the low energy parameters of the 2-d Heisenberg antiferromagnet. Z. Physik B - Condensed Matter 93, 147–150 (1994). https://doi.org/10.1007/BF01316955

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF01316955

PACS

Navigation