Formation of an edge striped phase in the ν = 1 3 fractional quantum Hall system

teraction. The FQHE has been relatively less studied in the disk geometry [2,13,14], because, in part, the interest was focused on the bulk states, and it is difficult to separate disk edge effects for small number of electrons. In this paper we report results of a detailed numerical investigation of the microscopic structure of the FQH edge. To this end, we diagonalize the interaction Hamiltonian in the disk geometry for up to N = 12 Coulombinteracting electrons. For N ≥ 10 we observe formation of a striped order in the charge density at the edges. These edge stripes are not captured by the Laughlin wave function that works well for the bulk FQH states. We also obtain an analytical fit to the numerical data, which suggests that the amplitude of the charge density oscillations decays only as a power law (specifically, as inverse square root) with distance, appreciably extending into the sample. We interpret these results as formation of an edge striped phase (ESP) with wave vector qesp ≈ π/2l0, possibly smectic liquid crystal, at the edge of a FQH system. We study the simplest FQH state, that of spinpolarized electrons restricted to lowest Landau level, as appropriate in the large B limit, at filling ν = 1 . The interaction Hamiltonian in the second-quantized form is H =