Semi-analytical model of Hall resistance anomalies (overshooting) in the fractional quantized Hall effect

Basit Öğe Kaydı
dc.authoridYucel, Melike Behiye/0000-0001-7778-9378
dc.authoridSalman, Aysevil/0000-0001-6998-5942
dc.authoridSalman Durmuslar, Aysevil/0000-0001-6998-5942
dc.authoridSiddiki, Afif/0000-0001-5045-0358
dc.authorwosidYucel, Melike Behiye/D-8034-2011
dc.authorwosidSalman, Aysevil/B-7843-2013
dc.authorwosidMese, Ali ihsan/JXX-8717-2024
dc.authorwosidSalman Durmuslar, Aysevil/HJO-8681-2023
dc.contributor.authorSalman, Aysevil
dc.contributor.authorMese, Ali Ihsan
dc.contributor.authorYucel, Melike Behiye
dc.contributor.authorSiddiki, Afif
dc.date.accessioned2024-06-12T11:19:45Z
dc.date.available2024-06-12T11:19:45Z
dc.date.issued2013
dc.departmentTrakya Üniversitesien_US
dc.description.abstractWe predict resistance anomalies to be observed at high-mobility two-dimensional electron systems (2DESs) in the fractional quantized Hall regime, where the narrow (L < 10 mu m) Hall bar is defined by top gates. A semi-analytic calculation scheme is used to describe the formation of integral and fractional incompressible strips. We incorporate the screening properties of the 2DES, together with the effects of perpendicular magnetic field, to calculate the effective widths of the current carrying channels. The many-body effects are included to our calculation scheme via the energy gap obtained from the well-accepted formulation of the composite fermions. We show that the fractional incompressible strips at the edges, assuming different filling factors, become evanescent and can co-exist in certain magnetic field intervals yielding an overshoot at the Hall resistance, similar to that of the integral quantized Hall effect. We also provide a mechanism to explain the absence of 1/3 state in Fabry-Perot type interference experiments. A gate defined narrow sample design is proposed to enhance the visibility of fragile effects like interference and overshooting based on our semi-analytical model.en_US
dc.description.sponsorshipscientific and technological research council of Turkey (TUBITAK) [109T083]; Istanbul University [BAP:6970]en_US
dc.description.sponsorshipWe would like to thank M. Grayson and A. Wild for discussions on the overshooting effect and J. Jain for his initiating ideas on utilizing the composite fermion picture in our calculations and A. Erzan for her critical questions on this picture, which helped us in improving our understanding. This work is financially supported by the scientific and technological research council of Turkey (TUBITAK), under Grant No. 109T083 and Istanbul University BAP:6970.en_US
dc.identifier.doi10.1140/epjb/e2013-30758-3
dc.identifier.issn1434-6028
dc.identifier.issn1434-6036
dc.identifier.issue5en_US
dc.identifier.scopus2-s2.0-84877960386en_US
dc.identifier.scopusqualityQ3en_US
dc.identifier.urihttps://doi.org/10.1140/epjb/e2013-30758-3
dc.identifier.urihttps://hdl.handle.net/20.500.14551/25328
dc.identifier.volume86en_US
dc.identifier.wosWOS:000320286200012en_US
dc.identifier.wosqualityQ3en_US
dc.indekslendigikaynakWeb of Scienceen_US
dc.indekslendigikaynakScopusen_US
dc.language.isoenen_US
dc.publisherSpringeren_US
dc.relation.ispartofEuropean Physical Journal Ben_US
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanıen_US
dc.rightsinfo:eu-repo/semantics/closedAccessen_US
dc.subjectQuantum-Hallen_US
dc.subjectEdge Statesen_US
dc.subjectPhaseen_US
dc.subjectElectrostaticsen_US
dc.subjectInterferometeren_US
dc.subjectChannelsen_US
dc.subjectLiquiden_US
dc.subjectRegimeen_US
dc.subjectWaveen_US
dc.titleSemi-analytical model of Hall resistance anomalies (overshooting) in the fractional quantized Hall effecten_US
dc.typeArticleen_US

Dosyalar

Koleksiyon

WoS İndeksli Yayınlar Koleksiyonu
Scopus İndeksli Yayınlar Koleksiyonu