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arXiv · 1610.03197

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

O. Kilicoglu·D. Eksi·A. Siddiki
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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.

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O. Kilicoglu, D. Eksi, A. Siddiki. 2016-10-11. A realistic quantum capacitance model for quantum Hall edge state based Fabry-Pérot interferometers. https://doi.org/10.1088/1361-648x%2F29%2F3%2F035702

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