Shear Modulus of an Elastic Solid under External Pressure as a function of Temperature: The case of Helium

Abstract

The energy of a dislocation loop in a continuum elastic solid under pressure is considered within the framework of classical mechanics. For a circular loop, this is a function with a maximum at pressures that are well within reach of experimental conditions for solid helium suggesting, in this case, that dislocation loops can be generated by a pressure-assisted thermally activated process. It is also pointed out that pinned dislocations segments can alter the shear response of solid helium, by an amount consistent with current measurements, without any unpinning.

5 pages, 3 figures

References in corpus (15)

• Low Temperature Shear Modulus Changes in Solid 4-He and Connection to Supersolidity
• Disorder and the Supersolid State of Solid ${}^4$He
• Oscillation Frequency Dependence of Non-Classical Rotation Inertia of Solid ${}^4$He
• What makes a crystal supersolid ?
• Evidence for a Superglass State in Solid 4He
• Observation of non-classical rotational inertia in bulk solid 4He
• Supersolid Helium at High Pressure
• Annealing Effect for Supersolid Fraction in ${}^4$He
• Nonclassical Rotational Inertia in Single Crystal Helium
• Intrinsic and dislocation induced elastic behavior of solid helium
• The effect of 3He impurities on the nonclassical response to oscillation of solid 4He
• Probing the Upper Limit of Nonclassical Rotational Inertia
• Non-linear Elastic Response in Solid Helium: critical velocity or strain
• Interplay of Rotational, Relaxational, and Shear Dynamics in Solid 4He
• Measuring Dislocation Density in Aluminum with Resonant Ultrasound Spectroscopy