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Showing 1 to 20 of 53 for “"Fractional quantum Hall"”.
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The fractional quantum Hall regime in graphene
… of the ground states and charge gaps in the fractional quantum Hall states of graphene. The theory relies on knowledge of these properties for filling fractions smaller than one. Then, by the application of two mapping rules, one is able to obtain these properties for fractional quantum Hall …
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New perspectives on fractional quantum Hall physics
… having been discovered nearly four decades ago, fractional quantum Hall (FQH) states continue to provide platforms for the discovery of novel physical phenomena. In this thesis, I present a study of these remarkable phases of matter from three perspectives: (1) the role of an underlying lattice …
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Microscopic computations in the fractional quantum hall effect
The microscopic picture for fractional quantum Hall effect (FQHE) is difficult to work with analytically for a large number of electrons. Therefore to make predictions and attempt to describe experimental measurements on quantum Hall systems, effective theories are usually employed such as the …
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Topological order in the fractional quantum Hall states
… of topological order in non-Abelian fractional quantum Hall (FQH) states. The first part of the thesis is concerned with the ideal wave function approach to FQH states, where the idea is to try to obtain model wave functions and model Hamiltonians for all possible FQH states and to …
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Projections and correlations in the fractional quantum Hall effect
… after its surprising experimental discovery, the quantum Hall effect remains one of the most active and interesting fields of research in condensed matter physics. The theory pertaining to the phenomenon comprises a hugely varied and fascinating body of work, incorporating frameworks such as …
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A field theory for the fractional quantum Hall effect
… thesis we derive a field theory approach to the Fractional Quantum Hall Effect (FQHE). The goal is to develop a field theory for a system of interacting electrons moving in a plane in the presence of an external magnetic field, in the hope that the FQHE states will appear naturally as the …
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New methods of observation and characterization of fractional quantum Hall states
… new ways to observe and characterize specific fractional quantum Hall (FQH) states. In the first chapter we investigate the possibility to realize specific FQH states in bilayer graphene (BLG). BLG is a novel material in which the electron-electron interaction can be tuned with the help of …
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Lowest Landau level field theory for the fractional quantum Hall effect
… emphasis on its relevance to the physics of the fractional quantum Hall effect. For excitation energies much smaller than the cyclotron gap the states can be described in terms of their lowest Landau level content, neglecting the possible mixing between Landau levels induced by the potential …
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Edge tunneling and transport in non-abelian fractional quantum Hall systems
Several aspects of tunneling at the edge of a fractional quantum Hall (FQH) state are studied. Most examples are given for the non- abelian filling fraction ? = 5 2 Moore-Read Pfaffian state. For tunneling between opposite edges of an abelian fractional quantum Hall state at a quantum point …
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Linear and nonlinear edge dynamics and quasiparticle excitations in fractional quantum Hall systems
… introduction to the vast subject of quantum Hall physics. We dedicate the first chapter to a discursive broad introduction. The second one is instead used to introduce the integer and fractional quantum Hall effects, with an eye to the synthetic quantum matter platforms for their …
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Laughlin's wave function, plasma analogies and the fractional quantum Hall effect on infinite cylinders
… sowohl fuer die Theorie des fraktionalen Quanten-Hall-Effekts als auch fuer die klassische statische Mechanik geladener Teilchen in einem neutralisierenden Hintergrund von Interesse. Wir zeigen, dass Laughlins Wellenfunktion als Quanten-Polymer-System'' dargestellt werden kann. Die L^2-Norm ist …
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Interaction of composite fermions with a gauge field in the fractional quantum Hall regime
Thesis (Ph. D.)--Massachusetts Institute of Technology, Dept. of Physics, 1995.
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Probing Symmetry and Disorder Effects in the Fractional Quantum Hall States of the Second Landau Level
… a set of ground states referred to as the fractional quantum Hall states (FQHS). The FQHSs forming in the region called the second Landau level are some of the most exciting states as several theories predict that they are very different from the well understood FQHS in the lowest Landau …
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Even denominator quantum numbers and termination of the fractional series in the fractional quantum hall effect
Thesis: Ph. D., Massachusetts Institute of Technology, Department of Physics, 1989
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The effects of Landau level mixing, finite thickness, and external electric fields on the $\nu=\frac{5}{2}$ fractional quantum Hall effect
The $\nu=\frac{5}{2}$ fractional quantum Hall effect (FQHE) is a unique and interesting experimental and theoretical state. A great deal of experimental, theoretical and numerical work suggests that this state may support quasihole excitations with non-Abelian statistics, where the order of …
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Transport studies of reentrant integer quantum Hall states forming in the two-dimensional electron gas
… the observations of conventional odd-denominator fractional quantum Hall states have enriched many-body physics with important concepts such as fractional statistics and composite fermions. The subsequent discovery of the enigmatic even-denominator ν=5/2 fractional quantum Hall state has led to …
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Topological phases in narrow-band systems
… narrow-band systems. The first realizes the fractional quantum Hall effect using geometric frustration and ferromagnetism to obtain a nearly flat band with a large bandgap and non-zero Chern number. This system can support this effect at high temperatures upon partial filling of the flat …
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Electron transport in confined structures in very high mobility GaAs in perpendicular magnetic fields
… one focusing on properties in the integer quantum Hall effect the second looking at properties in the fractional quantum Hall effect at filling fraction v = 5/2. Both sets of experiments employ electrostatically defined quantum point contacts (QPCs) fabricated on a high mobility GaAs/AlGaAs …
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Exact diagonalization study of strongly correlated topological quantum states
A rich variety of phases can exist in quantum systems. For example, the fractional quantum Hall states have persistent topological characteristics that derive from strong interaction. This thesis uses the exact diagonalization method to investigate quantum lattice models with strong interaction. …
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