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We analyse the ground state of spinless fermions on a lattice in a weaklydisordered potential, interacting via a nearest neighbour interaction, byapplying the self-consistent Hartree-Fock approximation. We find that chargedensity modulations emerge progressively when r_s >1, even away fromhalf-filling, with only short-range density correlations. Classical geometrydependent "magic numbers" can show up in the addition spectrum which areremarkably robust against quantum fluctuations and disorder averaging.Comment: 4 pages, 3 eps figure

Density Modulations and Addition Spectra of Interacting Electrons in Disordered Quantum Dots