Mass flux characteristics in solid 4He for T> 100 mK: Evidence for Bosonic Luttinger Liquid behavior

TL;DR

This study investigates mass flux in solid helium-4 at temperatures above 100 mK, revealing power-law and logarithmic dependencies suggestive of bosonic Luttinger liquid behavior in this quantum solid.

Contribution

It provides evidence that mass flux in solid helium-4 exhibits Luttinger liquid-like properties, a novel insight into quantum transport in bosonic solids.

Findings

Flux depends on chemical potential difference as a power law with exponent ~0.3.

Temperature dependence of flux follows a logarithmic trend.

Data fits well with a model combining power-law and logarithmic behaviors.

Abstract

At pressure $\sim$ 25.7 bar the flux, $F$, carried by solid \4he for $T >$ 100 mK depends on the net chemical potential difference between two reservoirs in series with the solid, $\Delta \mu$, and obeys $F \sim (\Delta \mu)^b$, where $b \approx 0.3$ is independent of temperature. At fixed $\Delta \mu$ the temperature dependence of the flux, $F$, can be adequately represented by $F \sim - \ln(T/\tau)$, $\tau \approx 0.6$ K, for $0.1 \leq T \leq 0.5$ K. A single function $F = F_0(\Delta \mu)^b\ln(T/\tau)$ fits all of the available data sets in the range 25.6 - 25.8 bar reasonably well. We suggest that the mass flux in solid \4he for $T > 100$ mK may have a Luttinger liquid-like behavior in this bosonic system.