Electron densities for the ground state of N=7 electrons in a magntic field, at: (a) fractional filling ν =1/3, corresponding to the angular momentum  L₂ = 63, shown in red on the left hand side (α = 0, β = 1). The total wave function is Ψ= Φ₆₃ whose density is seen to exhibit a uniform circular amplitude characteristic of a liquid state, and (b) a mixed state in the neighborhood of ν =1/3, obtained by disorder-induced coupling between the ground state Φ₆₃ and the adjacent excited state with L₁ = 57. The density of the broken-symmetry mixed state Ψ= α Φ₅₇ + β Φ₆₃ (with α = 1/ 2, β =1/ 2) , shown in blue on the right, exhibits a non-uniform crystalline pattern, portraying formation of a disorder-pinned wigner crystallite. The results were obtained through exact diagonalization of the hamiltonian, with the parameters corresponding to GaAs, i.e. a dielectric constant κ = 13.1 and an effective mass m* =0.0067 m_e, and a confining potential of 3.6 meV. Lengths are given in units of the magnetic length l_B, and the units of the vertical
axes are 10⁻²l_B^-2. The electron density is normalized to the number
of particles, N.