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

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dc.citation.epage1162en_US
dc.citation.spage1160en_US
dc.citation.volumeNumber40en_US
dc.contributor.authorSiddiki, A.en_US
dc.contributor.authorCicek, E.en_US
dc.contributor.authorEksi, D.en_US
dc.contributor.authorMese, A. I.en_US
dc.contributor.authorAktas, S.en_US
dc.contributor.authorHakioğlu, T.en_US
dc.date.accessioned2019-02-01T11:13:25Z
dc.date.available2019-02-01T11:13:25Z
dc.date.issued2007en_US
dc.departmentDepartment of Physicsen_US
dc.departmentInstitute of Materials Science and Nanotechnology (UNAM)en_US
dc.description.abstractAbstract 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.en_US
dc.description.provenanceSubmitted by Füsun Yurdakul (tutuncu@bilkent.edu.tr) on 2019-02-01T11:13:25Z No. of bitstreams: 1 Where the edge.pdf: 327535 bytes, checksum: 907e64f099a35c48369e3ec436109cb2 (MD5)en
dc.description.provenanceMade available in DSpace on 2019-02-01T11:13:25Z (GMT). No. of bitstreams: 1 Where the edge.pdf: 327535 bytes, checksum: 907e64f099a35c48369e3ec436109cb2 (MD5) Previous issue date: 2007en
dc.identifier.doi10.1016/j.physe.2007.08.097en_US
dc.identifier.eissn1873-1759
dc.identifier.issn1386-9477
dc.identifier.urihttp://hdl.handle.net/11693/48714
dc.language.isoEnglishen_US
dc.publisherElsevier B.V.en_US
dc.relation.isversionofhttps://doi.org/10.1016/j.physe.2007.08.097en_US
dc.source.titlePhysica Een_US
dc.subjectEdge statesen_US
dc.subjectQuantum Hall effecten_US
dc.subjectScreeningen_US
dc.subjectQuantum point contact’sen_US
dc.subjectMach-Zehnder interferometeren_US
dc.titleWhere are the edge-states near the quantum point contacts? A self-consistent approachen_US
dc.typeArticleen_US

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