Skip to main content
SpringerLink
Log in

Magnetocaloric effect in spin-1/2 XX chains with three-spin interactions

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

Abstract

We consider the exactly solvable spin-1/2 XX chain with the three-spin interactions of the XZX + YZY and XZY − YZX types in an external (transverse) magnetic field. We calculate the entropy and examine the magnetocaloric effect for the quantum spin system. We discuss a relation between the cooling/heating efficiency and the ground-state phase diagram of the quantum spin model. We also compare ability to cool/heat in the vicinity of the quantum critical and triple points. Moreover, we examine the magnetocaloric effect for the spin-1/2 XX chain with three-spin interactions in a random (Lorentzian) transverse magnetic field.

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. K.A. Gschneidner Jr., V.K. Pecharsky, A.O. Tsokol, Rep. Prog. Phys. 68, 1479 (2005) and references therein

    Article  ADS  Google Scholar 

  2. A.M. Tishin, Y.I. Spichkin, The Magnetocaloric Effect and Its Applications (Institute of Physics Publishing, Bristol, Philadelphia, 2003)

  3. W.F. Giauque, D.P. MacDougall, Phys. Rev. 43, 768 (1933)

    Article  ADS  Google Scholar 

  4. P. Strehlow, H. Nuzha, E. Bork, J. Low Temp. Phys. 147, 81 (2007)

    Article  ADS  Google Scholar 

  5. S. Sachdev, Quantum Phase Transitions, 2nd edn. (Cambridge University Press, Cambridge, UK, 2011)

  6. L. Zhu, M. Garst, A. Rosch, Q. Si, Phys. Rev. Lett. 91, 066404 (2003)

    Article  ADS  Google Scholar 

  7. M. Garst, A. Rosch, Phys. Rev. B 72, 205129 (2005)

    Article  ADS  Google Scholar 

  8. M.E. Zhitomirsky, A. Honecker, J. Stat. Mech. P07012 (2004)

  9. C. Trippe, A. Honecker, A. Klümper, V. Ohanyan, Phys. Rev. B 81, 054402 (2010)

    Article  ADS  Google Scholar 

  10. B. Wolf, Y. Tsui, D. Jaiswal-Nagar, U. Tutsch, A. Honecker, K. Removic-Langer, G. Hofmann, A. Prokofiev, W. Assmus, G. Donath, M. Lang, Proc. Natl. Acad. Sci. 108, 6862 (2011)

    Article  ADS  Google Scholar 

  11. M. Lang, Y. Tsui, B. Wolf, D. Jaiswal-Nagar, U. Tutsch, A. Honecker, K. Removic-Langer, A. Prokofiev, W. Assmus, G. Donath, J. Low Temp. Phys. 159, 88 (2010)

    Article  ADS  Google Scholar 

  12. L. Čanová, J. Strečka, M. Jaščur, J. Phys.: Condens. Matter 18, 4967 (2006)

    Article  Google Scholar 

  13. O. Derzhko, J. Richter, Eur. Phys. J. B 52, 23 (2006)

    Article  ADS  Google Scholar 

  14. O. Derzhko, J. Richter, A. Honecker, H.-J. Schmidt, Fizika Nizkikh Temperatur (Kharkiv) 33, 982 (2007)

    Google Scholar 

  15. O. Derzhko, J. Richter, A. Honecker, H.-J. Schmidt, Low Temp. Phys. 33, 745 (2007)

    Article  ADS  Google Scholar 

  16. M.S.S. Pereira, F.A.B.F. de Moura, M.L. Lyra, Phys. Rev. B 79, 054427 (2009)

    Article  ADS  Google Scholar 

  17. L. Čanová, J. Strečka, T. Lučivjansky, Condensed Matter Phys. (L’viv) 12, 353 (2009)

    Article  Google Scholar 

  18. A. Honecker, S. Wessel, Condensed Matter Phys. (L’viv) 12, 399 (2009)

    Article  Google Scholar 

  19. G.A.P. Ribeiro, J. Stat. Mech. P12016 (2010)

  20. J. Schnack, R. Schmidt, J. Richter, Phys. Rev. B 76, 054413 (2007)

    Article  ADS  Google Scholar 

  21. R. Jafari, arXiv:1105.0809

  22. A. Honecker, S. Wessel, Physica B 378-380, 1098 (2006)

    Article  ADS  Google Scholar 

  23. B. Schmidt, P. Thalmeier, N. Shannon, Phys. Rev. B 76, 125113 (2007)

    Article  ADS  Google Scholar 

  24. M. Takahashi, Thermodynamics of One-Dimensional Solvable Models (Cambridge University Press, Cambridge, 1999)

  25. J.B. Parkinson, D.J.J. Farnell, An Introduction to Quantum Spin Systems, Lecture Notes in Physics (Springer-Verlag, Berlin, Heidelberg, 2010), Vol. 816

  26. M. Suzuki, Phys. Lett. A 34, 94 (1971)

    Article  ADS  Google Scholar 

  27. M. Suzuki, Prog. Theor. Phys. 46, 1337 (1971)

    Article  ADS  MATH  Google Scholar 

  28. D. Gottlieb, J. Rössler, Phys. Rev. B 60, 9232 (1999)

    Article  ADS  Google Scholar 

  29. O. Derzhko, J. Richter, V. Derzhko, Ann. Phys. 8, SI-49 (1999)

    Google Scholar 

  30. I. Titvinidze, G.I. Japaridze, Eur. Phys. J. B 32, 383 (2003)

    Article  ADS  Google Scholar 

  31. P. Lou, W.-C. Wu, M.-C. Chang, Phys. Rev. B 70, 064405 (2004)

    Article  ADS  Google Scholar 

  32. A.A. Zvyagin, Phys. Rev. B 72, 064419 (2005)

    Article  ADS  Google Scholar 

  33. T. Krokhmalskii, O. Derzhko, J. Stolze, T. Verkholyak, Phys. Rev. B 77, 174404 (2008)

    Article  ADS  Google Scholar 

  34. O. Derzhko, T. Krokhmalskii, J. Stolze, T. Verkholyak, Phys. Rev. B 79, 094410 (2009)

    Article  ADS  Google Scholar 

  35. F.G. Ribeiro, J.P. de Lima, L.L. Gonçalves, J. Magn. Magn. Mater. 323, 39 (2011)

    Article  ADS  Google Scholar 

  36. V. Derzhko, O. Derzhko, J. Richter, Phys. Rev. B 83, 174428 (2011)

    Article  ADS  Google Scholar 

  37. D.N. Zubarev, Njeravnovjesnaja Statistitchjeskaja Tjermodinamika (Nauka, Moskva, 1971) (in Russian)

  38. D.N. Zubarev, Nonequilibrium Statistical Thermodynamics (Consultants Bureau, New York, 1974)

  39. G. Rickayzen, Green’s Functions and Condensed Matter (Academic Press, London, 1991)

  40. G.D. Mahan, Many-Particle Physics (Plenum Press, New York, 1993)

  41. J. Schulenburg, A. Honecker, J. Schnack, J. Richter, H.-J. Schmidt, Phys. Rev. Lett. 88, 167207 (2002)

    Article  ADS  Google Scholar 

  42. J. Richter, J. Schulenburg, A. Honecker, J. Schnack, H.-J. Schmidt, J. Phys.: Condens. Matter 16, S779 (2004)

    Article  ADS  Google Scholar 

  43. O. Derzhko, J. Richter, Phys. Rev. B 70, 104415 (2004)

    Article  MathSciNet  ADS  Google Scholar 

  44. M.V. Fedoryuk, Mjetod Pjerjevala (Nauka, Moskva, 1977) (in Russian)

  45. P. Lloyd, J. Phys. C 2, 1717 (1969)

    Article  ADS  Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Institute for Condensed Matter Physics, National Academy of Sciences of Ukraine, 1 Svientsitskii Street, 79011, L’viv-11, Ukraine

    M. Topilko, T. Krokhmalskii & O. Derzhko

  2. Department for Theoretical Physics, Ivan Franko National University of L’viv, 12 Drahomanov Street, 79005, L’viv-5, Ukraine

    T. Krokhmalskii & O. Derzhko

  3. Department of Theoretical Physics, Yerevan State University, Al. Manoogian 1, 0025, Yerevan, Armenia

    V. Ohanyan

Authors
  1. M. Topilko
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. T. Krokhmalskii
    View author publications

    You can also search for this author in PubMed Google Scholar

  3. O. Derzhko
    View author publications

    You can also search for this author in PubMed Google Scholar

  4. V. Ohanyan
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding author

Correspondence to O. Derzhko.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Topilko, M., Krokhmalskii, T., Derzhko, O. et al. Magnetocaloric effect in spin-1/2 XX chains with three-spin interactions. Eur. Phys. J. B 85, 278 (2012). https://doi.org/10.1140/epjb/e2012-30359-8

Download citation

  • Received:

  • Revised:

  • Published:

  • DOI: https://doi.org/10.1140/epjb/e2012-30359-8

Keywords

Search

Navigation