Abstract
Electrons deposited above the free surface of liquid helium exhibit coupled electron-ripplon modes whose frequencies are simply related to the surface tension α of helium. The hydrodynamic expression for the ripplon dispersion relation for pure4He is shown to be valid up to the wavevector range 105 cm−1<q<2×106 cm−1 of the coupled modes. For a small amount of3He (X 3⋍10−6−10−8) added to pure4He, we measure the variation of the surface tension in the 60–600 mK temperature range. These experiments, which cover the frequency range v⋍10–300 MHz, agree fairly well with previous static (capillary) or low-frequency (surface sound velocity) experiments.
Similar content being viewed by others
References
D. O. Edwards and W. F. Saam,Progress in Low Temp. Physics, Vol. VIIA, D. F. Brewer, ed. (North-Holland), 1978, p. 283.
A. F. Andreev,Zh. Eksp. Theor. Fiz. 50, 1415 (1966) [Soc. Phys.-JETP 23, 939 (1966)].
D. O. Edwards, S. Y. Shen, J. R. Eckardt, P. P. Fatouros, and F. M. Gasparini,Phys. Rev. B12, 892 (1975).
N. Devaraj and A. C. Hollis-Hallett,Can. J. Phys. 45, 2113 (1967).
J. R. Eckardt, D. O. Edwards, S. Y. Shen, and F. M. Gasparini,Phys. Rev. B 16, 1944 (1977).
F. I. B. Williams,Surf. Sci. 113, 371 (1982).
C. C. Grimes and G. Adams,Phys. Rev. Lett. 36, 145 (1976); R. Mehrotra, B. M. Guenin, and A. J. Dahm,Phys. Rev. Lett. 48, 641 (1982).
D. S. Fisher, B. J. Halperin, and P. M. Platzman,Phys. Rev. Lett. 42, 798 (1979).
C. C. Grimes and G. Adams,Phys. Rev. Lett. 42, 795 (1979).
F. Gallet, G. Deville, A. Valdes, and F. I. B. Williams,Phys. Rev. Lett. 49, 212 (1982).
G. Deville, A. Valdes, E. Y. Andrei, and F. I. B. Williams,Phys. Rev. Lett. 53, 588 (1984).
C. Glattli, E. Y. Andrei, G. Deville, J. Poitrenaud, and F. I. B. Williams,Phys. Rev. Lett. 54, 1710 (1985).
C. Glattli, Thesis, Université Paris-Sud, Orsay (1986), unpublished.
L. Bonsall and A. A. Maradudin,Phys. Rev. B 15, 77 (1975).
R. Morf,Phys. Rev. Lett. 43, 931 (1979).
K. R. Atkins,Can. J. Phys. 31, 1165 (1953).
P. C. Hendry and P. V. E. McClintock,Cryogenics 25, 526 (1985).
J. Wilks,The Properties of Liquid and Solid Helium (Clarendon Press, Oxford, 1967), Table A1.
D. O. Edwards, J. R. Eckardt, and F. M. Gasparini,Phys. Rev. A 9, 2070 (1974).
A. G. Eguiluz, A. A. Maradudin, and R. J. Elliot,Phys. Rev. B 24, 197 (1981); K. Kono,J. Phys. Soc. Japan 56, 1111 (1987).
P. Leiderer,Phys. Rev. B 20, 4511 (1979).
Author information
Authors and Affiliations
Rights and permissions
About this article
Cite this article
Deville, G. Dynamic measurement of the surface tension of liquid helium with a two-dimensional electron probe. J Low Temp Phys 72, 135–151 (1988). https://doi.org/10.1007/BF00681729
Received:
Issue Date:
DOI: https://doi.org/10.1007/BF00681729