  Usually complex charge ordering phenomena arise due to competing
interactions. We have studied how such ordered patterns emerge from the
frustration of a long-ranged interaction on a lattice. Using the lattice gas
model on a square lattice with fixed particle density, we have identified
several interesting phases; such as a generalization of Wigner crystals at low
particle densities and stripe phases at densities in between rho = 1/3 and rho
= 1/2. These stripes act as domain walls in the checkerboard phase present at
half-filling. The phases are characterised at zero temperatures using numerical
simulations, and mean field theory is used to construct a finite temperature
phase diagram.
