Skip to main content
Log in

Line shape of the radiofrequency size effect in potassium

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

Numerical calculations and measurements of the radiofrequency size effect (RFSE) in the transmission geometry are reported for potassium plates 0.1 mm thick at 1.25 MHz. The agreement between theory and experiment on the line width, line shape, and magnitude of the effect is very good for specimens with unconstrained surfaces, but for specimens with constrained surfaces the observed line shape is qualitatively different from that predicted theoretically. The numerical calculations of the RFSE show that the amplitude of the fundamental and second resonances are proportional to exp (−1.22/1) and exp (−0.92/1), respectively, for 0.25 ≤ 1 ≤ 2, where 1 is the electron mean free path expressed in units of plate thickness. The origin of these dependences and their implications for measurements of the electron mean free path are discussed.

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. V. F. Gantmakher, Zh. Eksp. Teor. Fiz. 42, 1416 (1962); 43, 345 (1962); 44, 811 (1963) [English transl., Soviet Phys.—JETP 15, 982 (1962); 16, 247 (1962); 17, 549 (1963)].

    Google Scholar 

  2. V. F. Gantmakher, in Progress in Low Temperature Physics, C. J. Gortner, ed. (North-Holland, Amsterdam, 1967), p. 181; V. F. Gantmakher, Rep. Prog. Phys. 37, 317 (1974).

    Google Scholar 

  3. D. Schoenberg and P. J. Stiles, Proc. Roy. Soc. A 281, 62 (1964).

    Google Scholar 

  4. E. A. Kaner and V. L. Fal'ko, Zh. Eksp. Teor. Fiz. 51, 586 (1966) [English transl., Soviet Phys.—JETP 24, 392 (1967)].

    Google Scholar 

  5. T. K. Wagner and J. F. Koch, Phys. Rev. 165, 885 (1968).

    Google Scholar 

  6. G. E. Juras, Phys. Rev. 187, 784 (1969).

    Google Scholar 

  7. G. E. Juras, Phys. Rev. Lett. 24, 390 (1970).

    Google Scholar 

  8. G. E. Juras, Phys. Rev. B 2, 2860 (1970).

    Google Scholar 

  9. J. F. Koch and T. K. Wagner, Phys. Rev. 151, 467 (1966).

    Google Scholar 

  10. P. S. Peercy, W. M. Walsh Jr., L. W. Rupp Jr., and P. H. Schmidt, Phys. Rev. 171, 713 (1968).

    Google Scholar 

  11. I. M. Lifshitz, M. I. Azbel, and M. I. Kaganov, Zh. Eksp. Teor. Fiz. 31, 63 (1956) [English transl., Soviet Phys.—JETP 4, 41 (1957)].

    Google Scholar 

  12. G. E. Juras, private communication.

  13. B. Wendroff, Theoretical Numerical Analysis (Academic Press, New York, 1966), Chapter 4.

    Google Scholar 

  14. G. E. H. Reuter and E. H. Sondheimer, Proc. Roy. Soc. A bd195, 336 (1948).

    Google Scholar 

  15. V. S. Tsoi and V. F. Gantmakher, Zh. Eksp. Teor. Fiz. 56, 1232 (1969) [English transl., Soviet Phys.—JETP 29, 663 (1969)].

    Google Scholar 

  16. T. G. Blaney and D. Parsons, J. Phys. C. Proc. Phys. Soc. (Solid State Phys.) 3, 126 (1970).

    Google Scholar 

  17. D. E. Chimenti and B. W. Maxfield, Phys. Rev. B 7, 3501 (1973).

    Google Scholar 

  18. D. K. Wagner, Rev. Sci. Instrum. 45, 621 (1974).

    Google Scholar 

  19. J. W. Ekin and B. W. Maxfield, Phys. Rev. B 4, 4215 (1971).

    Google Scholar 

  20. R. S. Newrock, private communication.

Download references

Author information

Authors and Affiliations

Authors

Additional information

This work has been supported by the U.S. Atomic Energy Commission under Contract No. AT(11-1)-3150, Technical Report No. COO-3150-26. Additional support was received from the National Science Foundation under Grant No. GH-33637 through the Cornell Materials Science Center, Report No. 2259.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Wagner, D.K., Cochran, R. Line shape of the radiofrequency size effect in potassium. J Low Temp Phys 18, 549–581 (1975). https://doi.org/10.1007/BF00116144

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF00116144

Keywords

Navigation