A realistic quantum capacitance model for quantum Hall edge state based Fabry-Pérot interferometers

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dc.authorid0000-0002-8443-9816
dc.authorid0000-0001-5045-0358
dc.contributor.authorKılıçoğlu, Özgeen_US
dc.contributor.authorEksi, Denizen_US
dc.contributor.authorSıddıki, Afifen_US
dc.date.accessioned2016-12-27T07:17:18Z
dc.date.available2016-12-27T07:17:18Z
dc.date.issued2017-01-25
dc.departmentIşık Üniversitesi, Fen Edebiyat Fakültesi, Fizik Bölümüen_US
dc.departmentIşık University, Faculty of Arts and Sciences, Department of Physicsen_US
dc.description.abstractIn this work, the classical and the quantum capacitances are calculated for a Fabry-Pérot interferometer operating in the integer quantized Hall regime. We first consider a rotationally symmetric electrostatic confinement potential and obtain the widths and the spatial distribution of the insulating (incompressible) circular strips using a charge density profile stemming from self-consistent calculations. Modelling the electrical circuit of capacitors composed of metallic gates and incompressible/compressible strips, we investigate the conditions to observe Aharonov-Bohm (quantum mechanical phase dependent) and Coulomb blockade (capacitive coupling dependent) effects reflected in conductance oscillations. In a last step, we solve the Schrödinger and the Poisson equations self-consistently in a numerical manner taking into account realistic experimental geometries. We find that, describing the conductance oscillations either by Aharanov-Bohm or Coulomb blockade strongly depends on sample properties also other than size, therefore, determining the origin of these oscillations requires further experimental and theoretical investigation.en_US
dc.description.sponsorshipWe would like to express our gratitude to B Halperin, M Heiblum, B Rosenow, K von Klitzing, E J Heller and R R Gerhardts both for their fruitful discussions and sincere criticism. This work is financially supported by the scientific and research council of Turkey (TUBITAK) under grant no: TBAG-112T264 and 211T264.en_US
dc.description.versionPublisher's Versionen_US
dc.identifier.citationKılıçoğlu, O., Eksi, D. & Siddiki, A. (2017). A realistic quantum capacitance model for quantum hall edge state based fabry-pérot interferometers. Journal of Physics Condensed Matter, 29(3), 1-14. doi:10.1088/1361-648X/29/3/035702en_US
dc.identifier.doi10.1088/1361-648X/29/3/035702
dc.identifier.endpage14
dc.identifier.issn0953-8984
dc.identifier.issn1361-648X
dc.identifier.issue3
dc.identifier.pmid27869638
dc.identifier.scopus2-s2.0-85000613199
dc.identifier.scopusqualityQ2
dc.identifier.startpage1
dc.identifier.urihttps://hdl.handle.net/11729/1154
dc.identifier.urihttp://dx.doi.org/10.1088/1361-648X/29/3/035702
dc.identifier.volume29
dc.identifier.wosWOS:000402622500001
dc.identifier.wosqualityQ3
dc.indekslendigikaynakWeb of Scienceen_US
dc.indekslendigikaynakScopusen_US
dc.indekslendigikaynakPubMeden_US
dc.indekslendigikaynakScience Citation Index Expanded (SCI-EXPANDED)en_US
dc.institutionauthorKılıçoğlu, Özgeen_US
dc.institutionauthorid0000-0002-8443-9816
dc.language.isoenen_US
dc.peerreviewedYesen_US
dc.publicationstatusPublisheden_US
dc.publisherInstitute of Physics Publishingen_US
dc.relation.ispartofJournal of Physics Condensed Matteren_US
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanıen_US
dc.rightsinfo:eu-repo/semantics/closedAccessen_US
dc.subjectCapacitanceen_US
dc.subjectCapacitive couplingsen_US
dc.subjectCircuit oscillationsen_US
dc.subjectConductance oscillationsen_US
dc.subjectCoulomb blockadeen_US
dc.subjectElectrical circuiten_US
dc.subjectElectronic interferometeren_US
dc.subjectElectrostatic confinementen_US
dc.subjectGate microscopyen_US
dc.subjectGatesen_US
dc.subjectInterferometersen_US
dc.subjectQuantum Hall effecten_US
dc.subjectQuantum capacitanceen_US
dc.subjectQuantum mechanicalen_US
dc.subjectSelf-consistent calculationen_US
dc.subjectTheoretical investigationsen_US
dc.titleA realistic quantum capacitance model for quantum Hall edge state based Fabry-Pérot interferometersen_US
dc.typeArticleen_US
dspace.entity.typePublication

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