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Showing 1 to 20 of 22 for “"fractional quantum Hall effect"”.
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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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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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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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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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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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Exact Diagonalization Studies of Strongly Correlated Systems
… ranging from the Fermi-Hubbard model to the fractional quantum Hall effect (FQHE). The discussion starts with an overview of strongly correlated systems and what is meant by strongly correlated. Then, we extend cluster perturbation theory (CPT), an economic method for computing the momentum …
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Topological phases in narrow-band systems
… through spin-orbit interactions and lattice effects especially 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 …
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Hofstadter Physics and Composite Fermionic Phase in Moiré Systems
… provide fertile ground for investigating novel quantum states. A key focus is on understanding Hofstadter physics and the emergence of composite fermion phases in these materials. In this work, we first develop a continuum model to describe the low-energy electronic structure of twisted TMD …
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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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BPS Approaches to Anyons, Quantum Hall States and Quantum Gravity
… putting the theory into the regime of the Fractional Quantum Hall Effect (FQHE). This is illustrated in detail: the theory supports would-be BPS vortices which model the electrons of the FQHE, and they form bag-like states with the appropriate filling fractions, Hall conductivities, and …
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Quantum states on spheres in the presence of magnetic fields
The study of quantum states on the surface of various two-dimensional geometries in the presence of strong magnetic fields has proven vital to the theoretical understanding of the quantum Hall effect. In particular, Haldane’s seminal study of quantum states on the surface of a compact geometry, the …
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Single particle spectrum of the two dimensional electron gas
… interest, such as those found in the integer and fractional quantum Hall effect, are destroyed by excessive electron heating. Approaches based on tunneling have been hampered by problems such as ohmic heating and low in-plane conductivity, while optical approaches probe long-wavelength excitations …
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One-dimensional bosonization approach to higher dimensions
… liquid theory. For example, the edges of quantum Hall systems are one-dimensional and described by a chiral Tomonaga-Luttinger liquid. Another example is a quantum spin Hall system with helical edge states, which are also described by a Tomonaga-Luttinger liquid. In our first work, a study …
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Quasiparticles in Quantum Many-Body Systems
… property of hosting anyon quasiparticles having fractional charges and fractional statistics. Such phases were discovered with the remarkable experiment of the fractional quantum Hall effect and are drawing a lot of recognition. Realization of these phases on lattice systems and study of the …
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Slave particle study of the strongly correlated electrons
… thirty years, many experiments including the fractional quantum Hall effect (QHE) have revolutionized our view of nature. For a system of electrons that is subject to a very strong interactions and/or strong correlations between electrons, these two frameworks may break down. There many phases …
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Aspects of Parity Breaking in Classical and Quantum Fluids
… of many particle systems, parity breaking effects typically originate from some form of chirality, such as angular momentum, at the level of the constituent particles. External forces can also induce chiral motion, with the primary examples being the Lorentz and Coriolis forces.</p> <p>The …
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First principles quantum Monte Carlo study of correlated electronic systems
… temperature superconductivity, superfluidity, fractional quantum Hall effect, and Mott insulator. Strongly correlated systems have been an important subject of condensed matter physics for several decades, especially after the discovery of high temperature cuprate superconductors. In this …
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Growth of low disorder GaAs/AlGaAs heterostructures by molecular beam epitaxy for the study of correlated electron phases in two dimensions
… a wide range of experiments probing interaction effects in two-dimensional electron and hole gases. This dissertation presents work aimed at further understanding the key material-related issues currently limiting the quality of these 2D systems, particularly in relation to the fractional quantum …
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