Density dependence of the superfluid properties of superclimbing dislocation in solid ⁴He

Dislocations with superfluid core [1,2] are the main candidates for the mechanism behind the observation of superflow through solid and the syringe effect [3]. The same features have been confirmed in Refs.[4,5], respectively. One of the unusual features observed in the experiment [4] is the exponentially strong suppression of the flow versus pressure (or crystal density). Our grand canonical ab initio simulations of the superclimbing dislocation by the Worm Algorithm [6] on samples containing about 1430 particles at T=0.25K find that Luttinger parameter K obeys the dependence K=exp (3.4 - 39 n), where n>0 stands for the fractional deviation of the density from the melting value, within the accuracy of 10-15%. Thus, by increasing the density by only about 10% the K-value drops by about two orders of magnitude. This qualitatively agrees with the observation [4].

[1] M. Boninsegni, et. al., PRL 99, 035301 (2007);
[2] S. G. Söyler, et. al., PRL 103, 175301 (2009);
[3] M. W. Ray and R. B. Hallock, PRL 100, 235301 (2008);
[4] J. Shin, et. al. PRL 118, 235301(2017);
[5] Z.G.Cheng and J. Beamish, PRL 117, 025301 (2016);
[6] M. Boninsegni, N. Prokof’ev, and B. Svistunov, PRL 96, 070601 (2006).