The main candidate for the superfluid pathways in solid ${}^4\mathrm{He}$ are dislocations with Burgers vector along the hcp symmetry axis. Here we focus on the quantum behavior of a generic edge dislocation which can perform superclimb; that is, it can climb due to 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 the long-range forces. Their main effect consists of renormalizing the effective scale determining the 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 (ODLRO) in one dimension for the superfluid order parameter along the core.

中文翻译：

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慢跑之间具有库仑型相互作用的超爬脱位

固体中超流体途径的主要候选者 ${}^4\mathrm{他}$沿着hcp与Burgers向量错位对称轴。在这里，我们专注于可以执行超爬升的通用边缘位错的量子行为。也就是说，由于沿其核心的超流，它可以爬升。慢跑之间的远程弹性相互作用的作用已通过蒙特卡洛模拟得到解决。已经发现，在不考虑远程力的情况下，这种相互作用不会定性改变相图。它们的主要作用包括重新确定有效尺度，从而确定Tomonaga-Luttinger液相中位错的可压缩性。还发现，位错的量子粗糙相可以在高斯近似中很好地描述，高斯近似的特征在于沿核的超流体阶数参数的一维非对角长程阶数（ODLRO）。