Saliba, JosephLugan, PierreSavona, Vincenzo2014-12-302014-12-302014-12-30201410.1103/PhysRevA.90.031603https://infoscience.epfl.ch/handle/20.500.14299/109581WOS:000343728300002We study the two-dimensional weakly repulsive Bose gas at zero temperature in the presence of correlated disorder. Using large-scale simulations, we show that the low-energy Bogoliubov cumulative density of states remains quadratic up to a critical disorder strength, beyond which a power law with disorder-dependent exponent beta < 2 sets in. We associate this threshold behavior with the transition from superfluid to Bose glass, and compare the resulting mean-field phase diagram with scaling laws and the Thomas-Fermi percolation threshold of the mean-field density profile.text::journal::journal article::research article