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Quantum Transport in Electron Fabry-Perot Interferometers in Quantum Hall Regime

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dc.contributor.advisor Rafailovich, Miriam H. en_US
dc.contributor.advisor Sokolov, Jonathan en_US
dc.contributor.author LIN, PING en_US
dc.contributor.other Department of Physics en_US
dc.date.accessioned 2012-05-15T18:04:44Z
dc.date.accessioned 2015-04-24T14:52:40Z
dc.date.available 2012-05-15T18:04:44Z
dc.date.available 2015-04-24T14:52:40Z
dc.date.issued 2010-05-01
dc.identifier LIN_grad.sunysb_0771E_10049.pdf en_US
dc.identifier.uri http://hdl.handle.net/1951/55511 en_US
dc.identifier.uri http://hdl.handle.net/11401/72570 en_US
dc.description.abstract This dissertation describes quantum Hall transport experiments on Fabry-Perot electron interferometers fabricated from GaAs/AlGaAs heterostructure material. The devices consist of an island separated from the two-dimensional (2D) electron bulk via two tunable constrictions. Front gates deposited in etch trenches permit to fine tune the device. When tunneling occurs in the constrictions, electrons perform closed orbits around the island, producing an Aharonov-Bohm oscillatory signal in the conductance. Quantized plateaus in longitudinal and Hall resistances of the device allow us to determine the Landau level filling in both the bulk and the constriction.A comprehensive experimental characterization of quantum Hall and Shubnikovde Haas (SdH) transport is presented in the first interferometer. Application of front-gate voltage affects the constriction electron density, but the 2D bulk density remains unaffected. Analyzing the data within a Fock-Darwin model, we obtain the front-gate bias dependencies of constriction electron density, and, extrapolating to zero magnetic field, the number of 1D electric subbands resulting from the electron confinement in the constrictions.In the same interferometer, by carefully tuning the constriction front gates, we find a regime where interference oscillations with period h/2e persist throughout the transition between the integer quantum Hall plateaus 2 and 3, including half-filling. In our experiment, neither period nor amplitude of the oscillations show a discontinuity at half-filling, indicating that only one interference path exists throughout the transition.In the second interferometer, etch trench depletion is such that in the fractional quantum Hall (FQH) regime, filling 1/3 current-carrying chiral edge channels pass through the constrictions and encircle an island of the 2/5 FQH fluid. In this regime, we observe magnetic flux and charge periods 5h/e and 2e, respectively, corresponding to creation of ten e/5 Laughlin quasiparticles in the island. The observed experimental periods are interpreted as imposed by the anyonic statistical interaction of fractionally charged quasiparticles. en_US
dc.description.sponsorship This work is sponsored by the Stony Brook University Graduate School in compliance with the requirements for completion of degree. en_US
dc.format Monograph en_US
dc.format.medium Electronic Resource en_US
dc.language.iso en_US en_US
dc.publisher The Graduate School, Stony Brook University: Stony Brook, NY. en_US
dc.subject.lcsh Physics, Condensed Matter en_US
dc.subject.other Aharonov-Bohm oscillation, electron Fabry-Perot interferometers, fractional quantum Hall effect, fractional statistics, interference of e/3 quasiparticles encircling 2/5 FQH fluid, quantum transport en_US
dc.title Quantum Transport in Electron Fabry-Perot Interferometers in Quantum Hall Regime en_US
dc.type Dissertation en_US
dc.mimetype Application/PDF en_US
dc.contributor.committeemember Ismail Zahed en_US
dc.contributor.committeemember Meigan Aronson en_US
dc.contributor.committeemember Serge Luryi. en_US

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