title: A realistic quantum capacitance model for quantum Hall edge state based Fabry-Pérot interferometers.
abstract: 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.
authors.affiliation: Department of Physics, Isik University, 34980 Istanbul, Turkey.
authors.forename: O
authors.initials: O
authors.lastname: Kilicoglu
authors.forename: D
authors.initials: D
authors.lastname: Eksi
authors.forename: A
authors.initials: A
authors.lastname: Siddiki