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

Salman, Aysevil; Koymen, Erkan; Yücel, MELİKE; Atci, Hüseyin; Erkarslan, Uğur; Siddiki, Afif

doi:10.1016/j.physe.2012.03.005

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

Atıf İçin Kopyala

Salman A., Koymen E., Yücel M. B., Atci H., Erkarslan U., Siddiki A.

PHYSICA E-LOW-DIMENSIONAL SYSTEMS & NANOSTRUCTURES, cilt.44, sa.7-8, ss.1425-1428, 2012 (SCI-Expanded)

Yayın Türü: Makale / Tam Makale
Cilt numarası: 44 Sayı: 7-8
Basım Tarihi: 2012
Doi Numarası: 10.1016/j.physe.2012.03.005
Dergi Adı: PHYSICA E-LOW-DIMENSIONAL SYSTEMS & NANOSTRUCTURES
Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED)
Sayfa Sayıları: ss.1425-1428
Akdeniz Üniversitesi Adresli: Evet

Özet

In this work, we investigate the spatial distributions and the widths of the incompressible strips, i.e. the edge-states. 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.