Abstract
Recent measurements of the effective mass of a 3He impurity on 4He films by Wang and Gasparini1 and Valles et al.2 have provided a challenging problem for many-body theorists. In the case of a very thin 4He film — less than a monolayer — one is studying a homogeneous, quasi-two-dimensional fluid. When the film thickness is increased the impurity begins to float on top of the film and the shape of the surface profile and layered structure of the film become important.3 The effective mass of the impurity depends on the density of surrounding particles and thus can be used as a sensitive test to our understanding of the behaviour of 4He fluid. Recent neutron scattering experiments4 on dilute mixtures of 3He (1% and 5%) in 4He measured the elementary excitation spectrum of 3He for wave vectors between 0.4 and 2.2 °A-1. They tested the effective mass approximation at finite momentum in the three dimensional, homogeneous 4He -3He mixture. Deviations from the quadratic Landau-Pomeranchuck spectrum with increasing momentum were found in agreement with earlier thermodynamical measurements.5
This is a preview of subscription content, log in via an institution to check access.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
References
Xingwu Wang and F. M. Gasparini Phys. Rev. B38, 11245, (1988).
J. M. Valles, Jr., R. H. Higley, R. B. Johnson, and R. B. Hallock, Phys. Rev. Lett. 60, 428, (1988).
E. Krotscheck, M. Saarela, and J. L. Epstein, Phys. Rev. Lett. 61, 1728 (1988), and J. Epstein, E. Krotscheck, and M. Saarela, to be published in Phys. Rev. Lett.
B. Fåk, K. Guckelsberger, M. Körfer, R. Scherm, and A.J. Dianoux, submitted to Phys. Rev. B.
W. Greywall Phys. Rev. Lett. 41, 177 (1978).
See J.C. Owen, Phys. Rev. B23, 5815 (1981), A. Fabrocini, S. Fantoni, S. Rosati, and A. Polls, Phys. Rev. B33, 6057 (1986) and references therein.
See R.N. Bhatt, Phys. Rev. B18,2108 (1978), M. Lücke, A. Szprynger, Phys. Rev. B26, 1374 (1982), W. Hsu, and D. Pines, Phys. Rev. B32, 7179 (1985), and references therein.
P. A. Whitlock, G. V. Chester M. H. Kalos, Phys. Rev. B38, 2418, (1988).
C. C. Chang and C. E. Campbell, Phys. Rev. B15, 4238 (1977).
E. Krotscheck, Phys. Rev. B33, 3158 (1986).
R.A. Smith, A. Kallio, M. Puoskari, and P Toropainen, Nucl. Phys. A328, 186 (1979), and, R.A. Smith, Phys. Lett. 85B, 183 (1979).
Q.N. Usmani, B. Friedman, and V.R. Pandharipande, Phys. Rev. B25, 4502 (1982).
P. A. Hilton, R. Scherm, and W. G. Stirling, J. Low Temp. Phys. 27, 851 (1977)).
L. Pitaevskii, unpublished.
E. Krotscheck, M. Saarela, and J.L. Epstein, Phys. Rev. B38, 111 (1988).
C. Ebner, D.O. Edwards, Phys. Rep. 2, 77 (1970).
R.A. Aziz, V.P.S. Nain, J.C. Carley, W.L. Taylor, and G.T. McColville, J. Chem. Phys. 70, 4330 (1979).
J. Bardeen, G. Baym, and D. Pines, Phys. Rev. 156, 207 (1967).
J.C. Owen, Phys. Rev. Lett. 47, 586 (1981).
A.E. Watson, J.D. Reppy, and R.C. Richardson, Phys. Rev. 188, 384 (1969)
M. Saarela, Phys. Rev. B33, 4596 (1986), and M. Saarela and J. Suominen, in Condenced Matter Theories, edited by J.S. Arponen, R.F. Bishop, and M. Manninen, vol. 3, 157 (Plenum Press, New York, 1988).
D. Greywall, Phys. Rev. {dbB20}, 2643 (1979).
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 1990 Springer Science+Business Media New York
About this chapter
Cite this chapter
Saarela, M. (1990). Excitation Spectrum of a 3He Impurity in 4He. In: Avishai, Y. (eds) Recent Progress in Many-Body Theories. Springer, Boston, MA. https://doi.org/10.1007/978-1-4615-3798-4_29
Download citation
DOI: https://doi.org/10.1007/978-1-4615-3798-4_29
Publisher Name: Springer, Boston, MA
Print ISBN: 978-1-4613-6693-5
Online ISBN: 978-1-4615-3798-4
eBook Packages: Springer Book Archive