Skip to main content
SpringerLink
Log in

Magnetic Signatures of Quantum Critical Points of the Ferrimagnetic Mixed Spin-(1/2, S) Heisenberg Chains at Finite Temperatures

  • Published:
Journal of Low Temperature Physics Aims and scope Submit manuscript

Abstract

Magnetic properties of the ferrimagnetic mixed spin-(1/2,S) Heisenberg chains are examined using quantum Monte Carlo simulations for two different quantum spin numbers \(S=1\) and 3/2. The calculated magnetization curves at finite temperatures are confronted with zero-temperature magnetization data obtained within the density matrix renormalization group method, which imply an existence of two quantum critical points determining a breakdown of the gapped Lieb–Mattis ferrimagnetic phase and Tomonaga–Luttinger spin-liquid phase, respectively. While a square root behavior of the magnetization accompanying each quantum critical point is gradually smoothed upon rising temperature, the susceptibility and isothermal entropy change data at low temperatures provide a stronger evidence of the zero-temperature quantum critical points through marked local maxima and minima, respectively.

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

Fig. 1
Fig. 2
Fig. 3
Fig. 4
Fig. 5

Similar content being viewed by others

References

  1. S. Sachdev, Quantum Phase Transitions (Cambridge University Press, Cambridge, 1999)

    MATH  Google Scholar 

  2. D.C. Mattis, The Many-Body Problem: An Encyclopedia of Exactly Solved Models in One Dimension (World Scientific, Singapore, 1993)

    Book  MATH  Google Scholar 

  3. J.S. Miller, M. Drillon, Magnetism: Molecules to Materials I (Wiley-VCH, Weinheim, 2001)

    Book  Google Scholar 

  4. J. Simon, W.S. Bakr, R. Ma, M.E. Tai, P.M. Preiss, M. Greiner, Nature 472, 307 (2011)

    Article  ADS  Google Scholar 

  5. A. Honecker, J. Schulenburg, J. Richter, J. Phys.: Condens. Matter 16, S749 (2004)

    ADS  Google Scholar 

  6. K. Okunishi, Prog. Theor. Phys. Suppl. 145, 119 (2002)

    Article  ADS  Google Scholar 

  7. G. Misguich, Exact methods in low-dimensional statistical physics and quantum computing, in Quantum Spin Liquids, ed. by J. Jacobsen, S. Ouvry, V. Pasquier, L.F. Cugliandolo, D. Serban (Oxford University Press, Oxford, 2008)

    Google Scholar 

  8. Y. Zhou, K. Kanoda, T.-K. Ng, preprint arxiv:1607.03228 (2016)

  9. T. Kuramoto, J. Phys. Soc. Jpn. 67, 1762 (1998)

    Article  ADS  Google Scholar 

  10. S. Yamamoto, T. Sakai, J. Phys.: Condens. Matter 11, 5175 (1999)

    ADS  Google Scholar 

  11. T. Sakai, S. Yamamoto, Phys. Rev. B 60, 4053 (1999)

    Article  ADS  Google Scholar 

  12. N.B. Ivanov, Phys. Rev. B 62, 3271 (2000)

    Article  ADS  Google Scholar 

  13. A. Honecker, F. Mila, M. Troyer, Eur. Phys. J. B 15, 227 (2000)

    Article  ADS  Google Scholar 

  14. S. Yamamoto, T. Sakai, Phys. Rev. B 62, 3795 (2000)

    Article  ADS  Google Scholar 

  15. T. Sakai, S. Yamamoto, Phys. Rev. B 65, 214403 (2002)

    Article  ADS  Google Scholar 

  16. A.S.F. Tenório, R.R. Montenegro-Filho, M.D. Coutinho-Filho, J. Phys.: Condens. Matter 23, 506003 (2011)

    Google Scholar 

  17. N.B. Ivanov, S.I. Petrova, J. Schnack, Eur. Phys. J. B 89, 121 (2016)

    Article  ADS  Google Scholar 

  18. J. Strečka, preprint arxiv:1607.03617 (2016)

  19. E. Lieb, D. Mattis, J. Math. Phys. 3, 749 (1962)

    Article  ADS  Google Scholar 

  20. M. Oshikawa, M. Yamanaka, I. Affleck, Phys. Rev. Lett. 78, 1984 (1997)

    Article  ADS  Google Scholar 

  21. A.W. Sandvik, Phys. Rev. B 59, 14157 (1999)

    Article  ADS  Google Scholar 

  22. B. Bauer, L.D. Carr, H.G. Evertz, A. Feiguin, J. Freire, S. Fuchs, L. Gamper, J. Gukelberger, E. Gull, S. Guertler, A. Hehn, R. Igarashi, S.V. Isakov, D. Koop, P.N. Ma, P. Mates, H. Matsuo, O. Parcollet, G. Pawlowski, J.D. Picon, L. Pollet, E. Santos, V.W. Scarola, U. Schollwöck, C. Silva, B. Surer, S. Todo, S. Trebst, M. Troyer, M.L. Wall, P. Werner, S. Wessel, J. Stat. Mech.: Theor. Exp. 2011, P05001 (2011)

    Google Scholar 

  23. O. Kahn, Struct. Bond. (Berlin) 68, 89 (1987)

    Article  Google Scholar 

  24. M. Drillon, E. Coronado, D. Beltran, R. Georges, J. Appl. Phys. 57, 3353 (1985)

    Article  ADS  Google Scholar 

Download references

Acknowledgments

This work was financially supported by the Grant of The Ministry of Education, Science, Research and Sport of the Slovak Republic under the Contract No. VEGA 1/0043/16, as well as, by Grants of the Slovak Research and Development Agency provided under Contract Nos. APVV-0097-12 and APVV-14-0073.

Author information

Authors and Affiliations

  1. Institute of Physics, Faculty of Science of P. J. Šafárik University, Park Angelinum 9, 040 01, Košice, Slovak Republic

    Jozef Strečka

  2. Institute for Condensed Matter Physics, NASU, 1 Svientsitskii Street, Lviv-11, 790 11, Ukraine

    Taras Verkholyak

Authors
  1. Jozef Strečka
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. Taras Verkholyak
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding author

Correspondence to Jozef Strečka.

Rights and permissions

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Strečka, J., Verkholyak, T. Magnetic Signatures of Quantum Critical Points of the Ferrimagnetic Mixed Spin-(1/2, S) Heisenberg Chains at Finite Temperatures. J Low Temp Phys 187, 712–718 (2017). https://doi.org/10.1007/s10909-016-1687-5

Download citation

  • Received:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s10909-016-1687-5

Keywords

Search

Navigation