Skip to main content
SpringerLink
Log in

Inhomogeneous quantum diffusion of muons in solids

  • Session 1. Diffusion/Localization
  • Published:
Hyperfine Interactions Aims and scope Submit manuscript

Abstract

This article deals with the problems raised when a muon(muonium) quantum diffusion in a crystal is highly inhomogeneous. It is shown how static disorder arising from the crystal doping influence the diffusion process and drastically changes both the time decay of the polarization function and the temperature dependence of the depolarization rate. The spin depolarization of muons moving in a spatially inhomogeneous defect potential and trapping of particles by the long-ranged traps is studied in detail. Most attention is given to the particle localization and delocalization phenomena resulting in the two-component behavior of muon polarization at low temperature. Finally, the experimental data on muon depolarization in insulators KCl, GaAs, N2 and superconducting metals Al, V are analyzed.

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. Grebinnik,V.G.,et al., Zh. Eksp. Teor. Phys.68, 1548 (1975) [Sov. Phys. JETP41, 777].

    Google Scholar 

  2. Hartmann, O.,et al., Phys. Rev. Lett.44, 337 (1980).

    Google Scholar 

  3. Kadono, R.,et al., Phys. Rev.B 39, 23 (1989).

    Google Scholar 

  4. Hartmann, O.,et al., Phys. Lett.A 61, 141 (1977).

    Google Scholar 

  5. Hartmann, O.,et al., Phys. Rev.B 37, 4425 (1988).

    Google Scholar 

  6. Kiefl, R.,et al., Hyperfine Interact.64, 737 (1990).

    Google Scholar 

  7. Heffner, R.H.,et al., Hyperfine Interact.6, 237 (1979).

    Google Scholar 

  8. Gugax, F.N.,et al., Z. Phys.B 71, 473 (1988).

    Google Scholar 

  9. Hartmann, O.,et al., Hyperfine Interact.17–19, 183 (1984).

    Google Scholar 

  10. Kiefl, R.F.,et al., Phys. Rev. Lett.,62, 792 (1989).

    Google Scholar 

  11. Kadono, R., Kiefl,et al., Phys. Rev. Lett.,64, 665 (1990).

    Google Scholar 

  12. Kadono, R.F.,et al., Hyperfine Interact.64, 635 (1990).

    Google Scholar 

  13. Schneider, J.W.,et al., Phys. Rev. Lett.,68, 3196 (1992).

    Google Scholar 

  14. Storchak, V.,et al., Submitted to Hyperfine Interact.this volume.

  15. Schneider, J.W.,et al., Material Science Forum 83–87, 569 (1992).

    Google Scholar 

  16. Kagan, Yu. and Prokof'ev, N. V., ChapterQuantum Tunneling Diffusion in Solids, inQuantum Tunneling in Condensed Matter Elsevier Science Publishers B.V., eds. Yu. Kagan and A. J. Leggett, (1992).

  17. Sugimoto, H., J. Phys. Soc. Jpn.55, 1687 (1986).

    Google Scholar 

  18. Kondo, J., Hyperfine Interactions31, 117 (1986).

    Google Scholar 

  19. Mikheev, V.A.,et al., Solid State Commun.48, 361 (1983).

    Google Scholar 

  20. Kagan, Yu. and Maksimov, L.A., Zh. Eksp. Teor. Phys.87, 348 (1984) [Sov. Phys. JETP60, 201].

    Google Scholar 

  21. Kagan, Yu. and Prokof'ev, N. V., Preprint IAE-4461/9 (1987).

  22. Kagan, Yu. and Prokof'ev, N.V., Phys. Lett.A 159, 289 (1991).

    Google Scholar 

  23. Kondo, J., Physica,(B+C) 126, 377 (1984).

    Google Scholar 

  24. Yamada, K., Prog. Theor. Phys.72, 195 (1984).

    Google Scholar 

  25. Kagan, Yu. and Maksimov, L.A., Zh. Eksp. Teor. Phys.65, 622 (1974) [Sov. Phys. JETP bf38, 307].

    Google Scholar 

  26. Morosov, A. I., Zh. Eksp. Teor. Phys.77, 1471 (1979) [Sov. Phys. JETP50, 738].

    Google Scholar 

  27. Black, J. L. and Fulde, P., Phys. Rev. Lett.43, 453 (1979).

    Google Scholar 

  28. Kiefl, R., private communication.

  29. Kagan, Yu. and Prokof'ev, N. V., Zh. Eksp. Teor. Fiz.90, 2176 (1986) [Sov. Phys. JETP63, 1276].

    Google Scholar 

  30. Kagan, Yu. and Klinger, M.I., Zh. Eksp. Teor. Fiz.70, 255 (1976) [Sov. Phys. JETP43, 132].

    Google Scholar 

  31. Kondo, J., PhysicaB 84, 207 (1976).

    Google Scholar 

  32. Kagan, Yu. and Prokof'ev, N. V., Zh. Eksp. Teor. Fiz.96, 1473 (1989) [Sov. Phys. JETP69, 836].

    Google Scholar 

  33. Yamada, K.,et al., Prog. Theor. Phys.75, 1030 (1986).

    Google Scholar 

  34. Flynn, C.P. and Stoneham, A.M., Phys. Rev.,B1 3966 (1970).

    Google Scholar 

  35. Kagan, Yu. and Prokof'ev, N.V., Phys. Lett.A 150, 320 (1990).

    Google Scholar 

  36. Jäckie, J.,et al., J. Non-Cryst. Solids,20, 365 (1976).

    Google Scholar 

  37. Teichler, H., and Seeger, A., Phis. Lett.A 82, 91 (1981).

    Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Physics Department, University of British Columbia, 6224 Agricultural Rd., V6T 1Z1, Vancouver B.C., Canada

    Nikolai V. Prokof'ev

Authors
  1. Nikolai V. Prokof'ev
    View author publications

    You can also search for this author in PubMed Google Scholar

Rights and permissions

Reprints and permissions

About this article

Cite this article

Prokof'ev, N.V. Inhomogeneous quantum diffusion of muons in solids. Hyperfine Interact 85, 3–22 (1994). https://doi.org/10.1007/BF02069398

Download citation

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF02069398

Keywords

Search

Navigation