Screening theory based modeling of the quantum Hall based quasi-particle interferometers defined at quantum dots

In this work, we investigate the spatial distributions and t he widths of the incompressible strips, i.e. the edgestates. The incompressible strips that correspond toν = 1, 2 and 1/3 filling factors are examined in the presence of a strong perpendicular magnetic field. We present a microsco pic picture of the fractional quantum Hall effect based interferometers, within a phenomenological model. We adopt Laughlin quasi-particle properties in our calculation scheme. In the fractional regime, the partially occupied lowest Landau level is assumed to form an energy gap due to strong correlations. Essentially by including this energy gap to our energy spectrum, we obtain the properties of the incompressible strips atν = 1/3. The interference conditions are investigated as a functi on of the gate voltage and steepness of the confinement potential, together with the st rength of the applied magnetic field.