Abstract
Despite great efforts over many years, a truly microscopic understanding of the phonon-maxon-roton spectrum in superfluid 4He has continued to be elusive. High resolution neutron scattering studies1,2,3 of the lineshape exhibited by \(S(\vec{Q},\omega )\) have given vivid evidence of the completely different behaviour of the low Q phonon spectrum and the high Q maxon-roton spectrum as the temperature increases towards T λ. Recently, Glyde and the author have realized that recent experimental results gave the needed clues which were missing before. We have proposed a unified theory4 of the excitations in superfluid 4He which is firmly anchored in the existence of a Bose broken symmetry (see Sokol, these proceedings). We believe that a suitably parameterized version of this microscopic formulation will provide a natural starting point for detailed comparisons with the excitations observed in high resolution neutron scattering data. For further discussion of its experimental implications, we refer to the papers by Glyde and Svensson in these proceedings. The main goals of this article are to discuss the basic elements of the new picture, to review its historical development and relation to earlier ideas, and finally, to sketch how it might be brought into contact with the very successful phenomenological approach based on variational many body wavefunctions.
This is a preview of subscription content, log in via an institution.
Buying options
Tax calculation will be finalised at checkout
Purchases are for personal use only
Learn about institutional subscriptionsPreview
Unable to display preview. Download preview PDF.
References
A.D.B. Woods and E.C. Svensson, Phys. Rev. Letters 41, 974 (1978).
E.F. Talbot, H.R. Glyde, W.G. Stirling and E.C. Svensson, Phys. Rev. B38, 11 229 (1988).
W.G. Stirling and H.R. Glyde, Phys. Rev. B41, 4224 (1990).
H.R. Clyde and A. Griffin, Phys. Rev. Letters, 65, September 17 issue (1990).
N.N. Bogoliubov, J. Phys.(U.S.S.R.) 11, 23 (1947).
S.T. Beliaev, Sov. Phys. JETP 7, 289 (1958)
S.T. Beliaev, [Zh. Eksp. Teor. Fiz. 34 417 (1958)].
N. Hugenholtz and D. Pines, Phys. Rev. 116, 489 (1959).
J. Gavoret and P. Nozières, Ann. Phys. (N.Y.) 28, 349 (1964).
P.C. Hohenberg and P.C. Martin, Ann. Phys. (N.Y.) 34, 291 (1965).
S.K. Ma and C.W. Woo, Phys. Rev. 159, 165 (1967).
P. Szépfalusy and I. Kondor, Ann. Phys. (N.Y.) 82, 1 (1974).
A. Griffin and T.H. Cheung, Phys. Rev. A7, 2086 (1973).
V. Wong and H. Gould, Ann. Phys. (N.Y.) 83, 252 (1974).
E. Talbot and A. Griffin, Ann. Phys. (N.Y.) 151, 71 (1983).
For a review, see A. Griffin, Can. Journ. Phys. 65, 1368 (1987).
A. Miller, D. Pines and P. Nozières, Phys. Rev. 127, 1452 (1962).
D. Pines, in Quantum Fluids, ed by D.F. Brewer ( John Wiley, N.Y., 1966 ), p. 257.
A. Griffin and E. Talbot, Phys. Rev. B24, 5075 (1981).
A. Griffin and S. Payne, Journ. Low Temp. Phys. 64, 155 (1986).
For a review, see D. Pines, Can. Journ. Phys. 65, 1357 (1987).
H.R. Glyde and A. Griffin, in preparation.
A.D.B. Woods, Phys. Rev. Letters 14, 355 (1965).
L.D. Landau, J. Phys. (U.S.S.R.) 11, 91 (1947).
A. Griffin, Phys. Rev. B19, 5946 (1979).
R.P. Feynman, Phys. Rev. 91, 1301 (1953)
R.P. Feynman, Phys. Rev. 94, 262 (1954).
See, for example, W. Hsu, D. Pines and C.H. Aldrich, Phys. Rev. B32, 7179 (1985).
E. Talbot and A. Griffin, Journ. Low Temp. Phys. 56, 141 (1984).
A. Zawadowski, J. Ruvalds and J. Solana, Phys. Rev. A5, 399 (1972).
W.G. Stirling, in Proc. 2nd International Conf. on Phonon Physics, ed. by J. Kollar, N. Kroo, N. Menyhard, T. Siklos ( World Scientific, Singapore, 1985 ), p. 829.
A. Griffin and E.C. Svensson, LT-19 Proceedings (Sussex), in Physica B165 + 166, 487 (1990).
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 1991 Plenum Press, New York
About this chapter
Cite this chapter
Griffin, A. (1991). Excitations in Superfluid 4He and the Dielectric Formalism. In: Wyatt, A.F.G., Lauter, H.J. (eds) Excitations in Two-Dimensional and Three-Dimensional Quantum Fluids. NATO ASI Series, vol 257. Springer, Boston, MA. https://doi.org/10.1007/978-1-4684-5937-1_2
Download citation
DOI: https://doi.org/10.1007/978-1-4684-5937-1_2
Publisher Name: Springer, Boston, MA
Print ISBN: 978-1-4684-5939-5
Online ISBN: 978-1-4684-5937-1
eBook Packages: Springer Book Archive