Phases of superclimbing dislocation with long-range interaction between jogs

TL;DR

This paper investigates the quantum behavior of superclimbing dislocations in solid Helium-4, showing that long-range jog interactions mainly renormalize scale parameters without altering the phase diagram, and that the quantum rough phase can be described by a Gaussian approximation.

Contribution

It demonstrates that long-range elastic interactions between jogs do not qualitatively change the dislocation phase diagram and provides a Gaussian approximation for the quantum rough phase.

Findings

Long-range jog interactions do not alter the phase diagram qualitatively.

These interactions renormalize the effective scale for dislocation compressibility.

The quantum rough phase is well described by a Gaussian approximation with off-diagonal long-range order.

Abstract

The main candidate for the superfluid pathways in solid Helium-4 are dislocations with Burgers vector along the hcp symmetry axis. Here we focus on quantum behavior of a generic edge dislocation which can perform superclimb -- climb supported by the superflow along its core. The role of the long range elastic interactions between jogs is addressed by Monte Carlo simulations. It is found that such interactions do not change qualitatively the phase diagram found without accounting for such forces. Their main effect consists of renormalizing the effective scale determining compressibility of the dislocation in the Tomonaga-Luttinger Liquid phase. It is also found that the quantum rough phase of the dislocation can be well described within the gaussian approximation which features off-diagonal long range order in 1D for the superfluid order parameter along the core.