Where are the edge-states near the quantum point contacts? A self-consistent approach

Siddiki, Tahsin; Cicek, E.; Eksi, D.; Mese, A.; Aktas, S.; Hakioglu, T.

doi:10.1016/j.physe.2007.08-097

Where are the edge-states near the quantum point contacts? A self-consistent approach

Atıf İçin Kopyala

Siddiki A., Cicek E., Eksi D., Mese A. I., Aktas S., Hakioglu T.

PHYSICA E-LOW-DIMENSIONAL SYSTEMS & NANOSTRUCTURES, cilt.40, sa.5, ss.1160-1162, 2008 (SCI-Expanded)

Yayın Türü: Makale / Tam Makale
Cilt numarası: 40 Sayı: 5
Basım Tarihi: 2008
Doi Numarası: 10.1016/j.physe.2007.08-097
Dergi Adı: PHYSICA E-LOW-DIMENSIONAL SYSTEMS & NANOSTRUCTURES
Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
Sayfa Sayıları: ss.1160-1162
İstanbul Teknik Üniversitesi Adresli: Evet

Özet

In this work, we calculate the current distribution, in the close vicinity of the quantum point contacts (QPCs), taking into account the Coulomb interaction. In the first step, we calculate the bare confinement potential of a generic QPC and, in the presence of a perpendicular magnetic field, obtain the positions of the incompressible edge states (IES) taking into account electron-electron interaction within the Thomas-Fermi theory of screening. Using a local version of Ohm's law, together with a relevant conductivity model, we also calculate the current distribution. We observe that, the imposed external current is confined locally into the incompressible strips. Our calculations demonstrate that, the inclusion of the electron-electron interaction, strongly changes the general picture of the transport through the QPCs. (C) 2007 Elsevier B.V. All rights reserved.