Skip to main content
SpringerLink
Log in

Monte-Carlo phase diagram of an Ising system with isotropic competing interaction

  • Published:
Zeitschrift für Physik B Condensed Matter

    We’re sorry, something doesn't seem to be working properly.

    Please try refreshing the page. If that doesn't work, please contact support so we can address the problem.

Abstract

An Ising model is studied here with isotropic nearest and next nearest neighbour competing interaction along the three axes of a simple cubic system. The phase diagram for this model is determined by Monte-Carlo simulation through a study of the correlation functions.

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. Competing Interactions and Microstructures: Statics and Dynamics. Proceedings of the CMS WorkshopLos AlamosMay 5–8, 1987. LeSan, R., Bishop, A., Heffner, R. (eds.). Berlin, Heidelberg, New York: Springer 1988

    Google Scholar 

  2. Bak, P.: Rep. Prog. Phys.45, 587 (1982); Liebmann, R.: Statistical mechanics of periodic frustrated Ising systems. Berlin, Heidelberg, New York: Springer 1986; Yeomans, J.: Solid State Physics41, 151 (1988); Selke, W.: Phys. Rep.170, 213 (1988)

    Google Scholar 

  3. For a recent review see, Yeomans, J.: In Ref. 2 ; see also Bak, P., Boehm, J. van: Phys. Rev. B21, 5297 (1980); Hogh-Jensen, M., Bak, P.: Phys. Rev.B27, 6853 (1983)

    Google Scholar 

  4. Selke, W., Duxbury, P.M.: Z. Phys. B-Condensed Matter57, 49 (1984)

    Google Scholar 

  5. Yokoi, C.S.O. Coutinho-Filho, M.D., Salinas, S.R.: Phys. Rev. B24, 4047 (1981)

    Google Scholar 

  6. Upton, P., Yeomans, J.: Europhys. Lett.5, 575 (1988); Upton, P., Yeomans, J.: Phys. Rev. B40, 479 (1989). See also Price, G.D., Yeomans, J.: In Ref. 1, p. 60

    Google Scholar 

  7. Aydin, M., Yalabik, M.C.: J. Phys. A22 85 (1989)

    Google Scholar 

  8. Broddin, D., Tendeloo, G. van, Landuyt, J. van, Amelinckx, S., Portier, R., Guymont, M., Loiseau, A.: Philos. Mag.54, 395 (1987)

    Google Scholar 

  9. Lee, T.D., Yang, C.N.: Phys. Rev.87, 410, (1952); see for example Brout, R.: Phase transitions, p. 48. New York: Benjamin 1965; Stanley, H.E.: Introduction to phase transitions and critical phenomena. Oxford: Oxford University Press 1971

    Google Scholar 

  10. Binder, K.: In Monte-Carlo methods in statistical physics. Binder, K. (ed.), p. 1. Berlin, Heidelberg, New York: Springer 1979. For a recent review on Metropolis algorithm see Bhanot, G.: Rep. Prog. Phys.51, 429 (1988)

    Google Scholar 

  11. Pawley, G.S., Swendsen, R.H., Wallace, D.J., Wilson, K.G.: Phys. Rev. B29, 4030 (1984)

    Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Saha Institute of Nuclear Physics, 92 Acharyya Prafulla Chandra Road, 700 009, Calcutta, India

    Barnana Pal

  2. Pure Physics Department, Calcutta University, 92 Acharyya Prafulla Chandra Road, 700 009, Calcutta, India

    Subinay Dasgupta

Authors
  1. Barnana Pal
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. Subinay Dasgupta
    View author publications

    You can also search for this author in PubMed Google Scholar

Rights and permissions

Reprints and permissions

About this article

Cite this article

Pal, B., Dasgupta, S. Monte-Carlo phase diagram of an Ising system with isotropic competing interaction. Z. Physik B - Condensed Matter 78, 489–492 (1990). https://doi.org/10.1007/BF01313332

Download citation

  • Received:

  • Revised:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF01313332

Keywords

Search

Navigation