Emergence of Luttinger Liquid Behavior of a Superclimbing Dislocation

A generic edge dislocation with superfluid core in solid ⁴He represents a non-Luttinger liquid according to the elementary scaling dimensional analysis because its compressibility diverges as square of the dislocation length[1]. Monte Carlo simulations [2], however, reveal that such a dislocation develops finite compressibility as temperature is lowered and its size increases. For certain parameters the dislocation can undergo a transition into insulating state regardless of the filling factor. An external macroscopically small bias by chemical potential can restore the non-Luttinger behavior [1]. The analysis [2] has been conducted in a simplified model ignoring long-range forces between quantum jogs. Current simulations including such forces show that the main features observed in [2] do not change qualitatively. Experimental verifications of these features are proposed in connection with the ongoing efforts to understand the superflow-through-solid as well as the syringe effects in solid ⁴He.

[1] S. G. Söyler, A. B. Kuklov, L. Pollet, N. V. Prokof’ev, and B. V. Svistunov, Phys. Rev. Lett. 103, 175301 (2009)
[2] M. Yarmolinsky and A. B. Kuklov, Phys. Rev. B 96, 024505 (2017)