  A two-dimensional quantum system of dipoles, with a polarization angle not
perpendicular to the plane, shows a transition from a gas to a stripe phase. We
have studied the thermal properties of these two phases using the path integral
Monte Carlo (PIMC) method. By simulating the thermal density matrix, PIMC
provides exact results for magnitudes of interest such as the superfluid
fraction and the one-body density matrix. As it is well known, in two
dimensions the superfluid-to-normal phase transition follows the
Berezinskii-Kosterlitz-Thouless (BKT) scenario. Our results show that both the
anisotropic gas and the stripe phases follow the BKT scaling laws. At fixed
density and increasing the tilting angle, the transition temperature decreases
in going from the gas to the stripe phase. Superfluidity in the perpendicular
direction to the stripes is rather small close to the critical temperature but
it becomes larger at lower temperatures, mainly close to the transition to the
gas. Our results are in qualitative agreement with the supersolidity observed
recently in a quasi-one-dimensional array of dipolar droplets.
