Skip to main content
Log in

Metamagnetic transitions in frustrated spin-ladders

  • Solids
  • Electronic Properties
  • Published:
Journal of Experimental and Theoretical Physics Aims and scope Submit manuscript

Abstract

Variational calculations of the magnetization curve at zero temperature are reported for two models of frustrated ladder spin systems with ferro-and antiferromagnetic interactions. The ground state of the models is either ferro-or antiferromagnetic depending on model parameters. The character of the transition from the ferro-to the antiferromagnetic state differs from that of the corresponding transition in the XXZ model and is characterized by the appearance of bound multimagnon states. The existence of these states is shown to result in magnetization jumps at certain external field values. The region of the phase diagram where such jumps occur was determined, and the corresponding critical field values were found.

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. E. Dagotto, Rep. Prog. Phys. 62, 1525 (1999).

    Article  ADS  Google Scholar 

  2. M. Uehara, T. Nagata, J. Akimitsu, et al., J. Phys. Soc. Jpn. 65, 2764 (1996).

    Google Scholar 

  3. D. C. Cabra, A. Honecker, and P. Pujol, Phys. Rev. Lett. 79, 5126 (1997).

    Article  ADS  Google Scholar 

  4. K. Totsuka, Phys. Rev. B 57, 3454 (1998).

    Article  ADS  Google Scholar 

  5. C. Gerhardt, K. H. Mutter, and H. Kroger, Phys. Rev. B 57, 11504 (1998).

    Google Scholar 

  6. C. N. Yang and C. P. Yang, Phys. Rev. 150, 321 (1966); 150, 327 (1966); 151, 258 (1966).

    ADS  Google Scholar 

  7. H. Nojiri, Y. Tokunaga, and M. Motokawa, J. Phys. (Paris) 49, C8–1459 (1988).

    Google Scholar 

  8. S. Copolan, T. M. Rice, and M. Sigrist, Phys. Rev. B 49, 8901 (1994).

    ADS  Google Scholar 

  9. Weihong Zheng, V. N. Kotov, and J. Oitmaa, Phys. Rev. B 57, 11439 (1998).

  10. R. Chitra and T. Giamarchi, Phys. Rev. B 55, 5816 (1997).

    Article  ADS  Google Scholar 

  11. A. K. Kolezhuk and H.-J. Mikeska, Int. J. Mod. Phys. B 12, 2325 (1998).

    ADS  MathSciNet  Google Scholar 

  12. V. Ya. Krivnov and A. A. Ovchinnikov, Phys. Lett. A 248, 453 (1998).

    Article  ADS  Google Scholar 

  13. S. R. White, Phys. Rev. B 48, 10345 (1993).

    Google Scholar 

  14. A. Klumper, A. Schadschneider, and J. Zittartz, Z. Phys. B 87, 281 (1992); Europhys. Lett. 24, 293 (1993).

    Google Scholar 

  15. A. K. Kolezhuk and H.-J. Mikeska, Phys. Rev. B 56, R11380 (1997).

  16. D. V. Dmitriev, V. Ya. Krivnov, and A. A. Ovchinnikov, Phys. Rev. B 56, 5985 (1997).

    ADS  Google Scholar 

  17. D. V. Dmitriev, V. Ya. Krivnov, and A. A. Ovchinnikov, Phys. Rev. B 55, 3620 (1997).

    ADS  Google Scholar 

  18. M. Gaudin, La fonction d’onde de Bethe (Masson, Paris, 1983; Mir, Moscow, 1987).

    Google Scholar 

  19. D. V. Dmitriev, V. Ya. Krivnov, and A. A. Ovchinnikov, Eur. Phys. J. B 14, 91 (2000).

    Article  ADS  Google Scholar 

  20. S. Sachdev and R. N. Bhatt, Phys. Rev. B 41, 9323 (1990).

    ADS  Google Scholar 

  21. F. Mila, Eur. Phys. J. B 6, 201 (1998).

    Article  ADS  Google Scholar 

  22. H.-T. Wang, H. Q. Lin, and J.-L. Shen, Phys. Rev. B 61, 4019 (2000).

    ADS  Google Scholar 

  23. A. A. Ovchinnikov, Pis’ma Zh. Éksp. Teor. Fiz. 5, 48 (1967) [JETP Lett. 5, 38 (1967)].

    Google Scholar 

  24. I. G. Gochev, Zh. Éksp. Teor. Fiz. 61, 1674 (1971) [Sov. Phys. JETP 34, 892 (1972)].

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Additional information

__________

Translated from Zhurnal Éksperimental’no\(\overset{\lower0.5em\hbox{$\smash{\scriptscriptstyle\smile}$}}{l} \) i Teoretichesko\(\overset{\lower0.5em\hbox{$\smash{\scriptscriptstyle\smile}$}}{l} \) Fiziki, Vol. 119, No. 1, 2001, pp. 166–174.

Original Russian Text Copyright © 2001 by Dmitriev, Krivnov, Ovchinnikov.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Dmitriev, D.V., Krivnov, V.Y. & Ovchinnikov, A.A. Metamagnetic transitions in frustrated spin-ladders. J. Exp. Theor. Phys. 92, 146–152 (2001). https://doi.org/10.1134/1.1348470

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1134/1.1348470

Keywords

Navigation