Ground-state properties of the two-dimensional bose coulomb liquid

We present results of a ground-state study, via the diffusion Monte Carlo method, of a two-dimensional charged boson liquid. We observe three distinct behaviors in this system. At the lowest densities a close-packed Wigner crystal forms. At r_s ≈ 12 the crystal melts into a noncondensed liquid exhibiting algebraic off-diagonal long-range order; the single-particle density matrix decays as r^-rs/4. Above a threshold density (r_s < 8), the long-wavelength momentum distribution diverges as k^(rs-8)/4, although no condensate forms.