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Öğe Edge state distribution in an Aharonov-Bohm electron interferometer in the integer quantum Hall regime(IOP PUBLISHING LTD, 2011) Ozturk, T.; Kavruk, A. E.; Ozturk, A.; Atav, U.; Yuksel, H.In this study we analyze the density distributions of the two dimensional electron system for an experimental geometry which is topologically equivalent of an Aharonov-Bohm interferometer in three dimensions in the quantum Hall regime and obtain the spatial distribution of the edge states. We employ the Thomas-Fermi approximation in our analysis and solve the Poisson equation in three dimensional using a multi grid technique. Also we obtain the distribution of incompressible strips for a wide range of magnetic fields strengths and comment on their relation with experimental results in literature.Öğe The self-consistent calculation of the edge states at quantum Hall effect (QHE) based Mach-Zehnder interferometers (MZI)(ELSEVIER SCIENCE BV, 2008) Siddiki, A.; Kavruk, A. E.; Oeztuerk, T.; Atav, Ue.; Sahin, M.; Hakioglu, T.The spatial distribution of the incompressible edge states (IES) is obtained for a geometry which is topologically equivalent to an electronic Mach-Zehnder interferometer, taking into account the electron-electron interactions within a Hartree type self-consistent model. The magnetic field dependence of these IES is investigated and it is found that an interference pattern may be observed if two IES merge or come very close, near the quantum point contacts. Our calculations demonstrate that, being in a quantized Hall plateau does not guarantee observing the interference behavior. (c) 2007 Elsevier B.V. All rights reserved.Öğe The self-consistent calculation of the edge states in bilayer quantum Hall bar(IOP PUBLISHING LTD, 2011) Kavruk, A. E.; Ozturk, T.; Ozturk, A.; Atav, U.; Yuksel, H.In this study, we present the spatial distributions of the edge channels for each layer in bilayer quantum Hall bar geometry for a wide range of applied magnetic fields. For this purpose, we employ a self-consistent Thomas-Fermi-Poisson approach to obtain the electron density distributions and related screened potential distributions. In order to have a more realistic description of the system we solve three dimensional Poisson equation numerically in each iteration step to obtain self consistency in the Thomas-Fermi-Poisson approach instead of employing a "frozen gate" approximation.