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.
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References
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)].
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).
D. Schoenberg and P. J. Stiles, Proc. Roy. Soc. A 281, 62 (1964).
E. A. Kaner and V. L. Fal'ko, Zh. Eksp. Teor. Fiz. 51, 586 (1966) [English transl., Soviet Phys.—JETP 24, 392 (1967)].
T. K. Wagner and J. F. Koch, Phys. Rev. 165, 885 (1968).
G. E. Juras, Phys. Rev. 187, 784 (1969).
G. E. Juras, Phys. Rev. Lett. 24, 390 (1970).
G. E. Juras, Phys. Rev. B 2, 2860 (1970).
J. F. Koch and T. K. Wagner, Phys. Rev. 151, 467 (1966).
P. S. Peercy, W. M. Walsh Jr., L. W. Rupp Jr., and P. H. Schmidt, Phys. Rev. 171, 713 (1968).
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)].
G. E. Juras, private communication.
B. Wendroff, Theoretical Numerical Analysis (Academic Press, New York, 1966), Chapter 4.
G. E. H. Reuter and E. H. Sondheimer, Proc. Roy. Soc. A bd195, 336 (1948).
V. S. Tsoi and V. F. Gantmakher, Zh. Eksp. Teor. Fiz. 56, 1232 (1969) [English transl., Soviet Phys.—JETP 29, 663 (1969)].
T. G. Blaney and D. Parsons, J. Phys. C. Proc. Phys. Soc. (Solid State Phys.) 3, 126 (1970).
D. E. Chimenti and B. W. Maxfield, Phys. Rev. B 7, 3501 (1973).
D. K. Wagner, Rev. Sci. Instrum. 45, 621 (1974).
J. W. Ekin and B. W. Maxfield, Phys. Rev. B 4, 4215 (1971).
R. S. Newrock, private communication.
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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.
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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
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DOI: https://doi.org/10.1007/BF00116144