Skip to main content
Log in

Phase relaxation in disordered nuclear paramagnets

  • Published:
JETP Letters Aims and scope Submit manuscript

Abstract

A new method for the construction of main correlation functions of nuclear paramagnets has been developed on the basis of the combination of the projection technique and cumulant expansions. It gives satisfactory results for the free induction decay and resonance line shape function in magnetically concentrated crystals. Polarization transfer in magnetically dilute crystals has been taken into account. It significantly retards a decrease in the FID at times longer than the phase relaxation time T 2. The FID remains mainly monotonic in contrast to magnetically concentrated crystals, where the FID oscillates. The results have been compared to the existing experimental data.

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. A. Abragam, The Principles of Nuclear Magnetism (Clarendon, Oxford, 1961; Inostr. Liter., Moscow, 1963).

    Google Scholar 

  2. A. Abragam and M. Goldman, Nuclear Magnetism: Order and Disorder (Clarendon, Oxford, 1982; Mir, Moscow, 1984), Vols. 1, 2.

    Google Scholar 

  3. R. Ernst, G. Bodenhausen, and A. Wokaun, Principles of NMR in One and Two Dimensions (Clarendon, Oxford, 1987; Mir, Moscow, 1990).

    Google Scholar 

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

    Google Scholar 

  5. F. S. Dzheparov and I. V. Kaganov, JETP Lett. 75, 259 (2002).

    Article  ADS  Google Scholar 

  6. M. Engelsberg and I. J. Lowe, Phys. Rev. B 10, 822 (1974).

    Article  ADS  Google Scholar 

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

    Article  ADS  Google Scholar 

  8. V. L. Bodneva and A. A. Lundin, J. Exp. Theor. Phys. 108, 992 (2009).

    Article  ADS  Google Scholar 

  9. F. S. Dzheparov, J. Superconduct. Novel Magn. 20, 161 (2007).

    Article  Google Scholar 

  10. F. S. Dzheparov, V. S. Smelov, and V. E. Shestopal, JETP Lett. 32, 47 (1980).

    ADS  Google Scholar 

  11. D. Li, Y. Dong, R. G. Ramos, et al., Phys. Rev. B 77, 214306 (2008).

    Article  ADS  Google Scholar 

  12. D. Li, Y. Dong, R. G. Ramos, et al., arXiv: 0704.3620 [cond-mat.mes-hall].

  13. M. I. Bulgakov, A. D. Gul’ko, F. S. Dzheparov, et al., JETP Lett. 58, 592 (1993).

    ADS  Google Scholar 

  14. Yu. G. Abov, A. D. Gul’ko, F. S. Dzheparov, et al., Phys. Part. Nucl. 26, 692 (1995).

    Google Scholar 

  15. F. S. Dzheparov, J. Phys. Conf. Ser. 324, 012004 (2011).

    Article  ADS  Google Scholar 

  16. D. Forster, Hydrodynamic Fluctuations, Broken Symmetry, and Correlation Functions (Westview Press, Boulder, 1995; Atomizdat, Moscow, 1980).

    Google Scholar 

  17. D. A. Drabolt and P. A. Fedders, Phys. Rev. B 37, 3440 (1988).

    Article  ADS  Google Scholar 

  18. A. S. Verhulst, D. Maryenko, Y. Yamamoto, and K. M. Itoh, Phys. Rev. B 68, 054105 (2003).

    Article  ADS  Google Scholar 

  19. A. S. Verhulst, Optical Pumping Experiments to Increase the Polarization in Nuclear-Spin Based Quantum Computers, Thesis (Stanford University Press, Stanford, 2004).

    Google Scholar 

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

    Article  ADS  Google Scholar 

  21. M. J. Hirsch and D. F. Holcomb, Phys. Rev. B 33, 2520 (1986).

    Article  ADS  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to F. S. Dzheparov.

Additional information

Original Russian Text © F.S. Dzheparov, D.V. Lvov, M.A. Veretennikov, 2013, published in Pis’ma v Zhurnal Eksperimental’noi i Teoreticheskoi Fiziki, 2013, Vol. 98, No. 8, pp. 543–548.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Dzheparov, F.S., Lvov, D.V. & Veretennikov, M.A. Phase relaxation in disordered nuclear paramagnets. Jetp Lett. 98, 484–490 (2013). https://doi.org/10.1134/S0021364013210054

Download citation

  • Received:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1134/S0021364013210054

Keywords

Navigation