The low temperature elastic anomalies in solid helium

Abstract

The elastic properties of hcp ${}^4$He samples have been shown to display various anomalies. The elastic shear modulus stiffens and the moment of rotational inertia drops when the temperature is lowered below $\sim$ 0.2 K. The relation between these two quantities is studied within the framework of classical deformable-body mechanics. A model based on the formation by plastic flow of extremely soft two-dimensional layers of dislocations is studied analytically and numerically. This model accounts quantitatively for a number of experiments. Other situations, in which it may seem less relevant, are discussed.

Preliminary draft with 11 pages with RevTeX 4-1 two-column processing and 5 figures in pdf format. The author is thankful in advance for any comment/criticism and will correct any error/omission in the bibliography

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Cited by in corpus (1)

• Critical dislocation speed in helium-4 crystals