Frequency-dependent Study of Solid Helium-4 Contained in a Rigid Double-torus Torsional Oscillator

Abstract

The rigid double-torus torsional oscillator (TO) is constructed to reduce any elastic effects in-herent to complicate TO structures, allowing explicit probing for a genuine supersolid signature. We investigated the frequency- and temperature-dependent response of the rigid double-torus TO containing solid 4He with 0.6 ppb 3He and 300 ppb 3He. We did not find evidence to support the frequency-independent contribution proposed to be a property of supersolid helium. The frequency-dependent contribution which comes from the simple elastic effect of solid helium coupled to TO is essentially responsible for the entire response. The magnitude of the period drop is linearly proportional to $f^2$, indicating that the responses observed in this TO are mostly caused by the overshoot of `soft' solid helium against the wall of the torus. Dissipation of the rigid TO is vastly suppressed compared to those of non-rigid TOs.

6 pages, 5 figures

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Cited by in corpus (6)

• Spatially Modulated Superfluid State in Two-Dimensional ${}^4$He Films
• Multiple Mode Torsional Oscillator Studies and Evidence for Supersolidity in Bulk 4He
• Effect of Rotation on Elastic Moduli of Solid ${}^4$He
• Superfluid-like TO Responses in Rotating Solid Helium
• Simultaneous investigation of shear modulus and torsional resonance of solid 4He
• Saga of Superfluid Solids