The mass transport properties along dislocation cores in hcp ${}^4\mathrm{He}$ are revisited by considering two types of edge dislocations as well as a screw dislocation, using a fully correlated quantum simulation approach. Specifically, we employ the zero-temperature path-integral ground state (PIGS) method together with ergodic sampling of the permutation space to investigate the fundamental dislocation core structures and their off-diagonal long-range order properties. It is found that the Bose-Einstein condensate fraction of such defective ${}^4\mathrm{He}$ systems is practically null ($\le {10}^{-6}$), just as in the bulk defect-free crystal. These results provide compelling evidence for the absence of intrinsic superfluidity in dislocation cores in hcp ${}^4\mathrm{He}$ and challenge the superfluid dislocation-network interpretation of the mass-flux-experiment observations, calling for further experimental investigation.

• Received 17 July 2022
• Revised 26 November 2022
• Accepted 13 December 2022

DOI:https://doi.org/10.1103/PhysRevLett.130.016001