Where are the edge-states near the quantum point contacts? A self-consistent approach
Küçük Resim Yok
Tarih
2008
Dergi Başlığı
Dergi ISSN
Cilt Başlığı
Yayıncı
Elsevier
Erişim Hakkı
info:eu-repo/semantics/openAccess
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.
Açıklama
17th International Conference on Electronic Properties of Two-Dimensional Systems -- JUL 15-20, 2007 -- Genoa, ITALY
Anahtar Kelimeler
Edge States, Quantum Hall Effect, Screening, Quantum Point Contact's, Mach-Zehnder Interferometer
Kaynak
Physica E-Low-Dimensional Systems & Nanostructures
WoS Q Değeri
Q3
Scopus Q Değeri
Q2
Cilt
40
Sayı
5
