Dislocation Mobility and Anomalous Shear Modulus Effect in 4 He Crystals

Abdul N. Malmi-Kakkada, Oriol T. Valls, Chandan Dasgupta

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1 Scopus citations


We calculate the dislocation glide mobility in solid 4He within a model that assumes the existence of a superfluid field associated with dislocation lines. Prompted by the results of this mobility calculation, we study within this model the role that such a superfluid field may play in the motion of the dislocation line when a stress is applied to the crystal. To do this, we relate the damping of dislocation motion, calculated in the presence of the assumed superfluid field, to the shear modulus of the crystal. As the temperature increases, we find that a sharp drop in the shear modulus will occur at the temperature where the superfluid field disappears. We compare the drop in shear modulus of the crystal arising from the temperature dependence of the damping contribution due to the superfluid field, to the experimental observation of the same phenomena in solid 4He and find quantitative agreement. Our results indicate that such a superfluid field plays an important role in dislocation pinning in a clean solid 4He at low temperatures and in this regime may provide an alternative source for the unusual elastic phenomena observed in solid 4He.

Original languageEnglish (US)
Pages (from-to)259-274
Number of pages16
JournalJournal of Low Temperature Physics
Issue number3-4
StatePublished - Feb 1 2017

Bibliographical note

Publisher Copyright:
© 2016, Springer Science+Business Media New York.


  • Dislocation motion
  • Dislocations
  • Quantum crystals
  • Solid helium
  • Viscosity


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