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BL
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| Record Number
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860725
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| Main Entry
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Cohen, Yonatan
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| Title & Author
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New platform for edge mode manipulations in the Quantum Hall effect /\ Yonatan Cohen.
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| Publication Statement
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Cham, Switzerland :: Springer,, [2018]
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| Series Statement
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Springer theses: recognizing outstanding Ph. D. research
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| Page. NO
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1 online resource
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| ISBN
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303005943X
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: 3030059448
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: 9783030059439
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: 9783030059446
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3030059421
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9783030059422
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| Notes
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Doctoral thesis accepted by the Weizmann Institute of Science, Rehovot, Israel.
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| Bibliographies/Indexes
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Includes bibliographical references.
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| Contents
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Intro; Supervisor's Foreword; Abstract; Acknowledgements; Contents; 1 Introduction and Motivation: from Helical Modes to Topological Quantum Computing; 1.1 Majorana Zero Modes and Topological Quantum Computing; 1.1.1 Majorana Zero Modes; 1.1.2 Topological Quantum Computing with Majorana Zero Modes; 1.2 Forming Majorana Zero Modes in a Spinless p-Wave Superconductor; 1.3 Forming a Spinless p-Wave Superconductor from Helical Modes; 1.4 Parafermions and Fractional Helical Modes; 1.4.1 Parafermions, Fibonacci Fermions and Universal Topological Quantum Computing
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1.4.2 Forming Parafermionic Zero Modes in Fractional Helical Modes1.5 Previous Experimental Work-Successes and Challanges; 1.5.1 Edge States of Topological Insulator; 1.5.2 Semiconducting Nanowires with Strong Spin-Orbit Interaction; 1.5.3 Graphene; 1.6 Summary; References; 2 The Quantum Hall Effect; 2.1 Two-Dimensional Electron Gas System in GaAs Heterostructures; 2.2 Classical Hall Effect; 2.3 Integer Quantum Hall Effect; 2.3.1 Landau Levels; 2.3.2 Confining Potential; 2.3.3 Disorder Potential; 2.3.4 Interactions; 2.4 Fractional Quantum Hall Effect; 2.5 Rxx Versus B and VG Measurement
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2.5.1 The Slopes of the Rxx Lines2.5.2 The Width of the Rxx Lines; 2.5.3 FQHE States in the Rxx Color Plot; 2.6 Edge Mode Devices; References; 3 Two Subbands Quantum Hall System as a Platform for Edge Mode Manipulations; 3.1 Double Quantum Well; 3.2 Forming Helical Modes-The Concept; 3.3 Forming Helical Modes-The Execution; 3.4 Detailed Discussion of the Filling Factors Transition; 3.4.1 Localized States and Partial Filling on QHE Plateaus; 3.4.2 Gate Induced LLs Crossing and Inter-Subband Charge Transfer; 3.4.3 Following the Gate Induced LLs Crossing; 3.4.4 The Charging Energy Effect
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3.4.5 Combining It All3.5 Manipulating the Laterar Distance Between Counter-Propagating Edge Modes; 3.6 Fractional Helical Modes; 3.7 Engineering Hole-Conjugate FQHE Edge Modes; 3.7.1 Experimental Setup; 3.7.2 Differential Conductance Measurements; 3.7.3 Noise Measurements and Neutral Modes; 3.7.4 Non-equilibrium Measurements; 3.8 Future Prospect: Edge Mode Interferometers in the Two Subbands QHE System; References; 4 Summary
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| Abstract
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In the last several decades, the quantum Hall effect has provided a remarkable platform for manipulating one-dimensional electronic modes and investigating fundamental physical phenomena. However, certain limitations make it difficult for various kinds of interesting modes structures to be formed using this platform. One example is the so called helical mode structure, in which two one-dimensional, counter propagating modes have opposite spins and thus spin and momentum are locked. Such helical modes have lately attracted significant interest, since, when coupled to a conventional superconductor, they are expected to manifest topological superconductivity and host Majorana zero modes. Even more interesting are fractional helical modes, which open the way for realizing generalized parafermionic zero modes. Possessing non-abelian exchange statistics, these quasiparticles may serve as building blocks in topological quantum computing. Here we present a new platform for manipulating integer and fractional quantum Hall edge modes, which allows the formation of robust one-dimensional helical as well as fractional helical modes. The platform is based on a carefully designed double-quantum-well structure in a GaAs based system hosting two electronic sub-bands in the quantum Hall effect regime. By electrostatic gating of different areas of the structure, counter-propagating integer, as well as fractional, edge modes with opposite spins are formed and their spin protection is verified. Beyond the formation of helical modes, the new platform can serve as a rich playground for new research. Some new possibilities include the artificial induction of compounded fractional edge modes and the construction of new edge mode-based interferometers.
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| Subject
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Quantum Hall effect.
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Quantum theory.
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Quantum Hall effect.
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Quantum theory.
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SCIENCE-- Physics-- Electricity.
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SCIENCE-- Physics-- Electromagnetism.
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| Dewey Classification
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537.6/226
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| LC Classification
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QC612.H3
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