A realistic quantum capacitance model for quantum Hall edge state based Fabry-Pérot interferometers
Yükleniyor...
Dosyalar
Tarih
2017-01-25
Yazarlar
Dergi Başlığı
Dergi ISSN
Cilt Başlığı
Yayıncı
Institute of Physics Publishing
Erişim Hakkı
info:eu-repo/semantics/closedAccess
Özet
In 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.
Açıklama
Anahtar Kelimeler
Capacitance, Capacitive couplings, Circuit oscillations, Conductance oscillations, Coulomb blockade, Electrical circuit, Electronic interferometer, Electrostatic confinement, Gate microscopy, Gates, Interferometers, Quantum Hall effect, Quantum capacitance, Quantum mechanical, Self-consistent calculation, Theoretical investigations
Kaynak
Journal of Physics Condensed Matter
WoS Q Değeri
Q3
Scopus Q Değeri
Q2
Cilt
29
Sayı
3
Künye
Kılıçoğlu, 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/29/3/035702
