Skip to main content
SpringerLink
Log in

Specific Heat of the Spin-1/2 Dimerized Antiferromagnetic Chains at Low Temperatures

  • Physics of Solid State and Condensed Matter
  • Published:
Physics of Particles and Nuclei Letters Aims and scope Submit manuscript

Abstract

A spin linear chain with antiferromagnetic nearest-neighbor interaction is considered. The coupling constants of each spin with the right and left neighbors are different. Within the Bulaevskii model, the magnetic specific heat is calculated as a function of temperature for different alternation parameters. It is shown that the temperature dependence of the specific heat has two regimes. In the first one, the temperature is lower than half the band gap; in this case, in the low-temperature limit, C ∝ T-1 exp(−Δ/kBT). In the second regime, the temperature exceeds half the band gap; in this case, we approximately have C ∝ T.

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. S. Majumdar, V. Hardy, M. R. Lees, D. McK. Paul, H. Rousselière, and D. Grebille, Phys. Rev. B 69, 024405 (2004).

    Article  ADS  Google Scholar 

  2. S. Sahling, G. Remenyi, J. E. Lorenzo, P. Monceau, V. L. Katkov, and V. A. Osipov, Phys. Rev. B 94, 144107 (2016).

    Article  ADS  Google Scholar 

  3. S. Sahling, J. E. Lorenzo, and V. L. Katkov, J. LowTemp. Phys. (in press).

  4. L. N. Bulaevskii, Sov. Phys. JETP 16, 685 (1963).

    ADS  Google Scholar 

  5. L. N. Bulaevskii, Sov. Phys. JETP 17, 684 (1963).

    Google Scholar 

  6. L. N. Bulaevskii, Sov. Phys. Solid State 11, 921 (1969).

    Google Scholar 

  7. A. Klümper and D. C. Johnston, Phys. Rev. Lett. 84, 4701–4704 (2000).

    Article  ADS  Google Scholar 

  8. M. Troyer, H. Tsunetsugu, and D. Würtz, Phys. Rev. B 50, 13515–13527 (1994).

    Article  ADS  Google Scholar 

  9. J. C. Bonner and M. E. Fisher, Phys. Rev. A 135, A640–A658 (1964).

    Google Scholar 

  10. I. Affleck, Phys. Rev. Lett. 56, 746–748 (1986).

    Article  ADS  MathSciNet  Google Scholar 

  11. Y. Tomoji, Prog. Theor. Phys. 41, 880–890 (1969).

    Article  Google Scholar 

  12. R. L. Carlin, Magnetochemistry (Springer, Berlin, Heidelberg, 1986).

    Book  Google Scholar 

  13. S. Sahling, G. Remenyi, C. Paulsen, P. Monceau, V. Saligrama, C. Marin, A. Revcolevschi, L. P. Regnault, S. Raymond, and J. E. Lorenzo, Nat. Phys. 11, 255–260 (2015).

    Article  Google Scholar 

  14. M. Wieśniak, V. Vedral, and Č. Brukner, Phys. Rev. B 78, 064108 (2008).

    Article  ADS  Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Bogoliubov Laboratory of Theoretical Physics, Joint Institute for Nuclear Research, Dubna, Moscow oblast, 141980, Russia

    V. L. Katkov

Authors
  1. V. L. Katkov
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding author

Correspondence to V. L. Katkov.

Additional information

Original Russian Text © V.L. Katkov, 2018, published in Pis’ma v Zhurnal Fizika Elementarnykh Chastits i Atomnogo Yadra, 2018.

Rights and permissions

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Katkov, V.L. Specific Heat of the Spin-1/2 Dimerized Antiferromagnetic Chains at Low Temperatures. Phys. Part. Nuclei Lett. 15, 668–672 (2018). https://doi.org/10.1134/S1547477118060109

Download citation

  • Received:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1134/S1547477118060109

Search

Navigation