Wigner crystals in the lowest Landau level at low-filling factors

We report on results of finite-size numerical studies of partially filled lowest Landau level, at tow electron filling factors. We find convincing evidence suggesting that electrons form Wigner crystals at sufficiently low filling factors, and the critical filling factor is nu (c) approximate to 1/7. At nu = 1/7 we find the system undergoes a phase transition from the Wigner crystal to the incompressible Laughlin state when the short-range part of the Coulomb interaction is modified slightly. This transition is either continuous or very weakly first order.