The possibility of Bose condensation into the lowest-energy, extended, Hartree-Fock eigenstate in the presence of a random potential is studied. Using the existing folklore about Anderson localization, and adding interactions, we find that the fluctuations are logarithmically divergent and that stable broken symmetry is impossible for $n>~2$.

• Received 9 April 1979

DOI:https://doi.org/10.1103/PhysRevLett.43.942