Comment on "Absence of Off-Diagonal Long- Range Order in hcp $^4$He Dislocation Cores"

Abstract

We contend that the arguments provided in Phys. Rev. Lett. 130, 016001 (2023), purporting to show the absence of off-diagonal long-range order in hcp $^4$He dislocation cores are misleading and incorrect. In particular, the one-body density matrix averaged over the whole crystalline sample provides no useful information on the possible superfluid behavior inside the quasi-one-dimensional core of a dislocation in the crystal.