Skip to main content
SpringerLink
Log in

Magnetic order in the two-dimensional compass-Heisenberg model

  • Regular Article
  • Published:
The European Physical Journal B Aims and scope Submit manuscript

Abstract

A Green-function theory for the dynamic spin susceptibility in the square-lattice spin-1/2 antiferromagnetic compass-Heisenberg model employing a generalized mean-field approximation is presented. The theory describes magnetic long-range order (LRO) and short-range order (SRO) at arbitrary temperatures. The magnetization, Néel temperature T N , specific heat, and uniform static spin susceptibility χ are calculated self-consistently. As the main result, we obtain LRO at finite temperatures in two dimensions, where the dependence of T N on the compass-model interaction is studied. We find that T N is close to the experimental value for Ba2IrO4. The effects of SRO are discussed in relation to the temperature dependence of χ.

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. Z. Nussinov, J. van den Brink, Rev. Mod. Phys. 87, 1 (2015)

    Article  ADS  Google Scholar 

  2. S. Wenzel, W. Janke, Phys. Rev. B 78, 064402 (2008)

    Article  ADS  Google Scholar 

  3. S. Wenzel, W. Janke, A.M. Läuchli, Phys. Rev. E 81, 066702 (2010)

    Article  ADS  Google Scholar 

  4. F. Trousselet, A.M. Oleś, P. Horsch, Europhys. Lett. 91, 40005 (2010)

    Article  ADS  Google Scholar 

  5. F. Trousselet, A.M. Oleś, P. Horsch, Phys. Rev. B 86, 134412 (2012)

    Article  ADS  Google Scholar 

  6. S. Boseggia, R. Springell, H.C. Walker, H.M. Rønnow, Ch. Rüegg, H. Okabe, M. Isobe, R.S. Perry, S.P. Collins, D.F. McMorrow, Phys. Rev. Lett. 110, 117207 (2013)

    Article  ADS  Google Scholar 

  7. G. Jackeli, G. Khaliullin, Phys. Rev. Lett. 102, 017205 (2009)

    Article  ADS  Google Scholar 

  8. A.A. Vladimirov, D. Ihle, N.M. Plakida, J. Exp. Theor. Phys. Lett. 100, 780 (2014)

    Article  Google Scholar 

  9. J.I. Igarashi, T. Nagao, Phys. Rev. B 88, 104406 (2013)

    Article  ADS  Google Scholar 

  10. J.I. Igarashi, T. Nagao, Phys. Rev. B 89, 064410 (2014)

    Article  ADS  Google Scholar 

  11. A.A. Vladimirov, D. Ihle, N.M. Plakida, Theor. Mat. Phys. 145, 1576 (2005)

    Article  MATH  Google Scholar 

  12. A.A. Vladimirov, D. Ihle, N.M. Plakida, Phys. Rev. B 80, 104425 (2009)

    Article  ADS  Google Scholar 

  13. A.A. Vladimirov, D. Ihle, N.M. Plakida, Phys. Rev. B 83, 024411 (2011)

    Article  ADS  Google Scholar 

  14. J. Kondo, K. Yamaji, Prog. Theor. Phys. 47, 807 (1972)

    Article  ADS  Google Scholar 

  15. H. Shimahara, S. Takada, J. Phys. Soc. Jpn 60, 2394 (1991)

    Article  ADS  Google Scholar 

  16. A.F. Barabanov, V.M. Berezovsky, J. Phys. Soc. Jpn 63, 3974 (1994)

    Article  ADS  Google Scholar 

  17. A.F. Barabanov, V.M. Berezovsky, Phys. Lett. A 186, 175 (1994)

    Article  ADS  Google Scholar 

  18. A.F. Barabanov, V.M. Berezovsky, Zh. Eksp. Teor. Fiz. 106, 1156 (1994) [J. Exp. Theor. Phys. 79, 627 (1994)]

    Google Scholar 

  19. S. Winterfeldt, D. Ihle, Phys. Rev. B 56, 5535 (1997)

    Article  ADS  Google Scholar 

  20. D. Ihle, C. Schindelin, H. Fehske, Phys. Rev. B 64, 054419 (2001)

    Article  ADS  Google Scholar 

  21. W. Yu, S. Feng, Eur. Phys. J. B 13, 265 (2000)

    Article  ADS  Google Scholar 

  22. B.H. Bernhard, B. Canals, C. Lacroix, Phys. Rev. B 66, 104424 (2002)

    Article  ADS  Google Scholar 

  23. D. Schmalfuß, R. Darradi, J. Richter, J. Schulenburg, D. Ihle, Phys. Rev. Lett. 97, 157201 (2006)

    Article  ADS  Google Scholar 

  24. M. Härtel, J. Richter, D. Ihle, S.-L. Drechsler, Phys. Rev. B 78, 174412 (2008)

    Article  ADS  Google Scholar 

  25. M. Härtel, J. Richter, D. Ihle, S.-L. Drechsler, Phys. Rev. B 81, 174421 (2010)

    Article  ADS  Google Scholar 

  26. I. Juhász Junger, D. Ihle, L. Bogacz, W. Janke, Phys. Rev. B 77, 174411 (2008)

    Article  ADS  Google Scholar 

  27. I. Juhász Junger, D. Ihle, J. Richter, Phys. Rev. B 80, 064425 (2009)

    Article  ADS  Google Scholar 

  28. A.V. Mikheenkov, N.A. Kozlov, A.F. Barabanov, Phys. Lett. A 373, 693 (2009)

    Article  ADS  Google Scholar 

  29. A.F. Barabanov, A.V. Mikheenkov, A.V. Shvartsberg, Theor. Math. Phys. 168, 1192 (2011)

    Article  MATH  MathSciNet  Google Scholar 

  30. M. Härtel, J. Richter, O. Götze, D. Ihle, S.-L. Drechsler, Phys. Rev. B 87, 054412 (2013)

    Article  ADS  Google Scholar 

  31. A.A. Vladimirov, D. Ihle, N.M. Plakida, Eur. Phys. J. B 87, 112 (2014)

    Article  ADS  MathSciNet  Google Scholar 

  32. S.V. Tyablikov, Methods in the Quantum Theory of Magnetism (Plenum, New York, 1967) (2nd Edn., Nauka, Moscow, 1975)

  33. V.M. Katukuri, V. Yushankhai, L. Siurakshina, J. van den Brink, L. Hozoi, I. Rousochatzakis, Phys. Rev. X 4, 021051 (2014)

    Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Joint Institute for Nuclear Research, 141980, Dubna, Russia

    Artem A. Vladimirov & Nikolay M. Plakida

  2. Institut für Theoretische Physik, Universität Leipzig, 04109, Leipzig, Germany

    Dieter Ihle

Authors
  1. Artem A. Vladimirov
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. Dieter Ihle
    View author publications

    You can also search for this author in PubMed Google Scholar

  3. Nikolay M. Plakida
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding author

Correspondence to Nikolay M. Plakida.

Rights and permissions

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Vladimirov, A., Ihle, D. & Plakida, N. Magnetic order in the two-dimensional compass-Heisenberg model. Eur. Phys. J. B 88, 148 (2015). https://doi.org/10.1140/epjb/e2015-60170-x

Download citation

  • Received:

  • Revised:

  • Published:

  • DOI: https://doi.org/10.1140/epjb/e2015-60170-x

Keywords

Search

Navigation