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

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 $0.1\le T\le 0.5$ 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.

4 pages, 5 figures

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