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7 - Phonons, maxons and rotons

Published online by Cambridge University Press:  23 September 2009

Allan Griffin
Affiliation:
University of Toronto
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Summary

In this chapter, we review the high-resolution neutron-scattering data for the dynamic structure factor S(Q, ω) and suggest an interpretation within a unified picture of the excitations in liquid 4He consistent with the ideas of Chapter 5. We argue that the phonons (0.1 ≲ Q ≲ 0.7 Å–1) in the collisionless region and rotons (Q ∼ 1.9 Å–1) are really two separate branches of the density fluctuation spectrum in the superfluid phase which are hybridized by the condensate. The low-wavevector phonon is interpreted as a zero sound collective density fluctuation while the large-Q maxon–roton is interpreted as a strongly renormalized single-particle excitation. In the intermediate-wavevector region 0.8 ≲ Q ≲ 1.2 Å–1, we argue that there is evidence that both excitation branches, a sharp single-particle (or atomic-like) maxon excitation and a broad high-energy zero sound phonon, are observed in S(Q, ω). Within this scenario, the appearance of the sharp maxon-roton resonance (0.8 ≲ Q ≲ 2.4 Å–1) in S(Q, ω) below the superfluid transition temperature Tλ is direct dynamical evidence for the Bose broken symmetry and the associated Bose condensate in superfluid 4He.

In Section 7.1, we review the neutron-scattering intensity data for small, intermediate and large wavevectors. In Section 7.2, these results are interpreted starting from the assumption that superfluid He is a Bose-condensed liquid. The condensate inevitably leads to a mixing of the single-particle spectrum described by Gαβ(Q, ω) and the density fluctuation spectrum described by S(Q, ω).

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Publisher: Cambridge University Press
Print publication year: 1993

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  • Phonons, maxons and rotons
  • Allan Griffin, University of Toronto
  • Book: Excitations in a Bose-condensed Liquid
  • Online publication: 23 September 2009
  • Chapter DOI: https://doi.org/10.1017/CBO9780511524257.008
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  • Phonons, maxons and rotons
  • Allan Griffin, University of Toronto
  • Book: Excitations in a Bose-condensed Liquid
  • Online publication: 23 September 2009
  • Chapter DOI: https://doi.org/10.1017/CBO9780511524257.008
Available formats
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Save book to Google Drive

To save content items to your account, please confirm that you agree to abide by our usage policies. If this is the first time you use this feature, you will be asked to authorise Cambridge Core to connect with your account. Find out more about saving content to Google Drive.

  • Phonons, maxons and rotons
  • Allan Griffin, University of Toronto
  • Book: Excitations in a Bose-condensed Liquid
  • Online publication: 23 September 2009
  • Chapter DOI: https://doi.org/10.1017/CBO9780511524257.008
Available formats
×