Physics – Condensed Matter – Mesoscale and Nanoscale Physics
Scientific paper
2012-02-28
Physics
Condensed Matter
Mesoscale and Nanoscale Physics
10 pages, 4 figures, in RevTex format
Scientific paper
In this work, we investigate the spatial distributions and the widths of the incompressible strips, i.e. the edgestates. The incompressible strips that correspond to \nu=1,2 and 1/3 filling factors are examined in the presence of a strong perpendicular magnetic field. We present a microscopic 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 at \nu=1/3. The interference conditions are investigated as a function of the gate voltage and steepness of the confinement potential, together with the strength of the applied magnetic field.
Atci H.
Erkarslan U.
Koymen E.
Salman A.
Siddiki Afif
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