Comment on “Berezinskii-Kosterlitz-Thouless transition in two-dimensional dipolar stripes”

In a recent article [R. Bombin, F. Mazzanti, and J. Boronat, Phys. Rev. A 100, 063614 (2019)], it is contended that a two-dimensional system of dipolar bosons, with dipole moments aligned at particular angles with respect to the direction perpendicular to the plane of motion, featuring a “striped” crystalline ground state, in turn undergoes a Berezinskii-Kosterlitz-Thouless superfluid transition at low temperature, making it a two-dimensional supersolid. We show here that the results provided therein, obtained by means of quantum Monte Carlo simulations, do not actually support such a conclusion. Rather, they are consistent with that expounded in our work [J. Low Temp. Phys. 196, 413 (2019)], namely that the striped ground state is insulating (i.e., nonsuperfluid in the conventional sense), essentially behaving like a system of quasi-one-dimensional, parallel independent chains. We attribute the incorrectness of the conclusion reached by Bombin, Mazzanti, and Boronat to the very small sizes of their simulated system, which do not allow for a reliable extrapolation to the thermodynamic limit.