Finite size Berezinski-Kosterlitz-Thouless transition at grain boundaries in solid ${}^4$He and role of ${}^3$He impurities

Abstract

We analyze the complex phenomenology of the Non-Classical Rotational Inertia (NCRI) observed at low temperature in solid ${}^4$He within the context of a two dimensional Berezinski-Kosterlitz-Thouless transition in a premelted ${}^4$He film at the grain boundaries. We show that both the temperature and ${}^3$He doping dependence of the NCRI fraction (NCRIF) can be ascribed to finite size effects induced by the finite grain size. We give an estimate of the average size of the grains which we argue to be limited by the isotopic ${}^3$He impurities and we provide a simple power-law relation between the NCRIF and the ${}^3$He concentration.

Final version, as appearing on print

References in corpus (14)

• Low Temperature Shear Modulus Changes in Solid 4-He and Connection to Supersolidity
• Disorder and the Supersolid State of Solid ${}^4$He
• On the Supersolid State of Matter
• Oscillation Frequency Dependence of Non-Classical Rotation Inertia of Solid ${}^4$He
• Superfluidity of Grain Boundaries in Solid Helium-4
• Pressure-driven flow of solid helium
• Observation of non-classical rotational inertia in bulk solid 4He
• Supersolid Helium at High Pressure
• Nonclassical Rotational Inertia in Single Crystal Helium
• Freezing and pressure-driven flow of solid helium in Vycor
• The effect of 3He impurities on the nonclassical response to oscillation of solid 4He
• Wetting Properties of Grain Boundaries in Solid Helium 4
• Melting curve of ${}^4$He: no sign of the supersolid transition down to 10 mK
• Surface instability and isotopic impurities in quantum solids

Cited by in corpus (4)

• Effects of ${}^3$He Impurity on Solid ${}^4$He Studied by Compound Torsional Oscillator
• Superfluid-like TO Responses in Rotating Solid Helium
• Non-classical Rotational Inertia in a Two-dimensional Bosonic Solid Containing Grain Boundaries
• Saga of Superfluid Solids