Skip to main content
Log in

On the Effect of an Inhomogeneous Magnetic Field on High-Frequency Asymptotic Behaviors of Correlation Functions of Spin Lattices

  • Condensed Matter
  • Published:
JETP Letters Aims and scope Submit manuscript

Abstract

Singular points of spin autocorrelation functions on the imaginary time axis, which determine the arguments of exponential high-frequency asymptotic behaviors, have been analyzed. It has been shown that randomly distributed inhomogeneous magnetic fields expand the wings of spectra of autocorrelation functions and, thereby, intensify the heating of a system subjected to variable magnetic fields, which are used to create effective Hamiltonians or at the saturation of inhomogeneously broadened EPR lines.

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. D. A. Abanin, W. De Roeck, and F. Huveneers, Phys. Rev. Lett. 115, 256803 (2015).

    Article  ADS  Google Scholar 

  2. T. Mori, T. Kuwahara, and K. Saito, Phys. Rev. Lett. 116, 120401 (2016).

    Article  ADS  Google Scholar 

  3. T. Kuwahara, New J. Phys. 18, 053034 (2016).

    Article  ADS  Google Scholar 

  4. D. A. Abanin, W. De Roeck, W. W. Ho, and F. Huveneers, Phys. Rev. B 95, 014112 (2017).

    Article  ADS  Google Scholar 

  5. W. W. Ho, I. Protopopov, and D. A. Abanin, arXiv:1706.07207.

  6. F. Machado, G. D. Meyer, D. V. Else, C. Nayak, and N. Y. Yao, arXiv:1708.01620.

  7. I. Georgescu, S. Ashhab, and F. Nori, Rev. Mod. Phys. 86, 153 (2014).

    Article  ADS  Google Scholar 

  8. M. Bukov, L. D’Alessio, and A. Polkovnikov, Adv. Phys. 64, 139 (2015).

    Article  ADS  Google Scholar 

  9. A. Eckardt and E. Anisimovas, New J. Phys. 17, 093039 (2015).

    Article  ADS  Google Scholar 

  10. E. I. Kuznetsova, E. B. Fel’dman, and D. E. Feldman, Phys. Usp. 59, 577 (2016).

    Article  ADS  Google Scholar 

  11. A. Eckardt, Rev. Mod. Phys. 89, 011004 (2017).

    Article  ADS  MathSciNet  Google Scholar 

  12. S. Choi, J. Choi, R. Landig, G. Kucsko, H. Zhou, J. Isoya, F. Jelezko, S. Onoda, H. Sumiya, V. Khemani, C. Keyserlingk, N. Y. Yao, E. Demler, and M. D. Lukin, Nature (London, U.K.) 543, 221 (2017).

    Article  ADS  Google Scholar 

  13. K. Li, Y. Wan, L.-Y. Hung, T. Lan, G. Long, D. Lu, B. Zeng, and R. Laflamme, Phys. Rev. Lett. 118, 080502 (2017).

    Article  ADS  Google Scholar 

  14. V. E. Zobov, Phys. Lett. A 119, 315 (1986).

    Article  ADS  Google Scholar 

  15. V. E. Zobov, Sov. J. Theor. Math. Phys. 84, 751 (1990).

    Article  Google Scholar 

  16. A. A. Lundin, A. V. Makarenko, and V. E. Zobov, J. Phys.: Condens. Matter 2, 10131 (1990).

    ADS  Google Scholar 

  17. V. E. Zobov, Theor. Math. Phys. 123, 511 (2000).

    Article  MathSciNet  Google Scholar 

  18. V. E. Zobov and M. A. Popov, Theor. Math. Phys. 136, 1297 (2003).

    Article  Google Scholar 

  19. V. E. Zobov and M. A. Popov, J. Exp. Theor. Phys. 97, 78 (2003).

    Article  ADS  Google Scholar 

  20. V. E. Zobov and M. A. Popov, J. Exp. Theor. Phys. 100, 775 (2005).

    Article  ADS  Google Scholar 

  21. V. E. Zobov and M. M. Kucherov, JETP Lett. 103, 687 (2016).

    Article  ADS  Google Scholar 

  22. V. E. Zobov and M. M. Kucherov, J. Exp. Theor. Phys. 124, 151 (2017).

    Article  ADS  Google Scholar 

  23. H. Araki, Commun. Math. Phys. 14, 120 (1969).

    Article  ADS  Google Scholar 

  24. U. Brandt and K. Jacoby, Z. Phys. B 26, 245 (1977).

    Article  ADS  Google Scholar 

  25. A. A. Lundin and V. E. Zobov, Phys. A (Amsterdam, Neth.) 115, 185 (1982).

    Article  ADS  Google Scholar 

  26. D. A. Abanin and Z. Papic, Ann. Phys. (Berlin) 529, 1700169 (2017).

    Article  ADS  Google Scholar 

  27. P. Ponte, A. Chandran, Z. Papic, and D. A. Abanin, Ann. Phys. 353, 196 (2015).

    Article  ADS  Google Scholar 

  28. A. De Luca, I. Rodrguez-Arias, M. Muller, and A. Rosso, Phys. Rev. B 94, 014203 (2016).

    Article  ADS  Google Scholar 

  29. T. Ishii, T. Kuwahara, T. Mori, and N. Hatano, arXiv:1712.03367.

  30. K. X. Wei, C. Ramanathan, and P. Cappellaro, Phys. Rev. Lett. 120, 070501 (2018).

    Article  ADS  Google Scholar 

  31. V. E. Zobov and A. A. Lundin, JETP Lett. 105, 514 (2017).

    Article  ADS  Google Scholar 

  32. V. A. Atsarkin and M. I. Rodak, Sov. Phys. Usp. 15, 251 (1972).

    Article  ADS  Google Scholar 

  33. V. A. Atsarkin, G. A. Vasneva, and V. V. Demidov, Sov. Phys. JETP 64, 898 (1986).

    Google Scholar 

  34. F. S. Dzheparov, A. A. Lundin, and T. N. Khazanovich, Sov. Phys. JETP 65, 314 (1987).

    Google Scholar 

  35. H. Hayashi, K. M. Itoh, and L. S. Vlasenko, Phys. Rev. B 78, 153201 (2008).

    Article  ADS  Google Scholar 

  36. F. S. Dzheparov, D. V. Lvov, and M. A. Veretennikov, JETP Lett. 98, 484 (2013).

    Article  ADS  Google Scholar 

  37. E. V. Avagyan, V. A. Atsarkin, and G. A. Vasneva, Sov. Phys. JETP 58, 1041 (1983).

    Google Scholar 

  38. S. Clough and C. A. Scott, J. Phys. C 1, 919 (1968).

    Article  ADS  Google Scholar 

  39. Yu. N. Ivanov, B. N. Provotorov, and E. B. Fel’dman, Sov. Phys. JETP 48, 930 (1978).

    ADS  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to V. E. Zobov.

Additional information

Original Russian Text © V.E. Zobov, M.M. Kucherov, 2018, published in Pis’ma v Zhurnal Eksperimental’noi i Teoreticheskoi Fiziki, 2018, Vol. 107, No. 9, pp. 578–582.

Rights and permissions

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Zobov, V.E., Kucherov, M.M. On the Effect of an Inhomogeneous Magnetic Field on High-Frequency Asymptotic Behaviors of Correlation Functions of Spin Lattices. Jetp Lett. 107, 553–557 (2018). https://doi.org/10.1134/S002136401809014X

Download citation

  • Received:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1134/S002136401809014X

Navigation