Screening model of metallic nonideal contacts in the integer quantized Hall regime

Basit Öğe Kaydı
dc.authoridkilicoglu, ozge/0000-0002-8443-9816
dc.authoridSiddiki, Afif/0000-0001-5045-0358
dc.authorwosidkilicoglu, ozge/B-9648-2018
dc.contributor.authorEksi, D.
dc.contributor.authorKilicoglu, O.
dc.contributor.authorGoektas, O.
dc.contributor.authorSiddiki, A.
dc.date.accessioned2024-06-12T11:20:05Z
dc.date.available2024-06-12T11:20:05Z
dc.date.issued2010
dc.departmentTrakya Üniversitesien_US
dc.description.abstractIn this work, we calculate the electron and the current-density distributions both at the edges and the bulk of a two-dimensional electron system, focusing on ideal and nonideal contacts. A three-dimensional Poisson equation is solved self-consistently to obtain the potential profile in the absence of an external magnetic field considering a Hall bar defined both by gates (contacts) and etching (lateral confinement). In the presence of a perpendicular magnetic field, we obtain the spatial distribution of the incompressible strips, taking into account the electron-electron interactions within the Thomas-Fermi approximation. Using a local version of Ohm's law, together with a relevant conductivity model, we also calculate the current distribution. We observe that the incompressible strips can reside either on the edge or at the bulk depending on the field strength. Our numerical results show that, due to a density poor region just in front of the contacts, the incompressible strips are not in direct contact with the injection region when considering nonideal contact configuration. Such a nonideal contact is in strong contrast with the conventional edge channel pictures, hence has a strong influence on transport. We also take into account heating effects in a phenomenological manner and propose a current injection mechanism from the compressible regions to the incompressible regions. The model presented here perfectly agrees with the local probe experiments all together with the formation of hot-spots.en_US
dc.description.sponsorshipScientific and Research Council of Turkey [TBAG-109T083]; Istanbul University [BAP-6970]en_US
dc.description.sponsorshipWe thank to E. Ahlswede, F. Dahlem, and J. Weis for introducing us the scanning force microscope results and for the critical discussions. A. Weichselbaum is acknowledged for sharing his experiences and 3D Poisson solver routine. Fruitful discussions with T. Kramer is also appreciated. We would like to express our gratitude to R. R. Gerhardts, who introduced us most of the concepts of the screening theory. A.S. acknowledges E. J. Heller for giving the opportunity to work in his distinguished group at Harvard University, Physics Department. This work is financially supported by the Scientific and Research Council of Turkey under Grant No. TBAG-109T083 and Istanbul University under Grant No. BAP-6970.en_US
dc.identifier.doi10.1103/PhysRevB.82.165308
dc.identifier.issn1098-0121
dc.identifier.issue16en_US
dc.identifier.scopus2-s2.0-78149255420en_US
dc.identifier.scopusqualityN/Aen_US
dc.identifier.urihttps://doi.org/10.1103/PhysRevB.82.165308
dc.identifier.urihttps://hdl.handle.net/20.500.14551/25465
dc.identifier.volume82en_US
dc.identifier.wosWOS:000282569500005en_US
dc.identifier.wosqualityQ1en_US
dc.indekslendigikaynakWeb of Scienceen_US
dc.indekslendigikaynakScopusen_US
dc.language.isoenen_US
dc.publisherAmer Physical Socen_US
dc.relation.ispartofPhysical Review Ben_US
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanıen_US
dc.rightsinfo:eu-repo/semantics/openAccessen_US
dc.subjectTopological Invarianten_US
dc.subjectIncompressible Stripsen_US
dc.subjectEdge Channelsen_US
dc.subjectConductanceen_US
dc.subjectPlateausen_US
dc.subjectSystemsen_US
dc.subjectPhaseen_US
dc.subjectApproximationen_US
dc.subjectDistributionsen_US
dc.subjectTransmissionen_US
dc.titleScreening model of metallic nonideal contacts in the integer quantized Hall regimeen_US
dc.typeArticleen_US

Dosyalar

Koleksiyon

WoS İndeksli Yayınlar Koleksiyonu
Scopus İndeksli Yayınlar Koleksiyonu