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Showing 1 to 20 of 118 for “"Quantum Hall"”.
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The fractional quantum Hall regime in graphene
… 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 states at …
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New perspectives on fractional quantum Hall physics
… 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 and its …
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Transport properties of the quantum Hall state
Thesis (Ph. D.)--Massachusetts Institute of Technology, Dept. of Physics, 1994.
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Investigations of the quantum Hall effect in graphene
The purpose of this thesis is to understand the quantum Hall effect in graphene. In particular, we investigate the occurrence of various crystalline phases in the first three Landau levels; we determine which crystalline structure is energetically favorable as the filling factor is varied. In this …
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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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Quantum Hall transport in graphene and its bilayer
… carriers results in an unconventional integer quantum Hall effect, with a peculiar Landau Level at zero energy. In bilayer graphene, the Dirac-like quadratic energy spectrum leads to an equally interesting, novel integer quantum Hall effect, with a eight-fold degenerate zero energy Landau …
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Imaging transport resonances in the quantum Hall effect
We image charge transport in the quantum Hall effect using a scanning charge accumulation microscope. Applying a DC bias voltage to the tip induces a highly resistive ring-shaped incompressible strip (IS) in a very high mobility 2D electron system (2DES). The IS moves with the tip as it is scanned, …
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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 have a …
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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
… 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 semiclassical …
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Subsurface Charge Accumulation imaging of the quantum Hall liquid
… heterostructure, in the regime of the integer quantum Hall effect. We observe general charging features in a plain 2DES near quantum Hall integer filling factors. We proceed by imaging low compressibility strips in the presence of an artificially created density gradient in the 2DES. We study …
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Artificial gauge fields and quantum hall physics in optical lattices
… in optical lattices opens a new chapter for the quantum simulation of quantum Hall physics. Motivated by recent advances and refined techniques in controlling quantum gases in optical lattices, this thesis explores how the spatio-temporal control of optical lattice systems can be exploited for …
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BPS Approaches to Anyons, Quantum Hall States and Quantum Gravity
… 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 anyonic …
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Bosonic Quantum Hall States from Rapidly Rotating Bose-Einstein Condensates
… (BECs) were explored as a platform for studying quantum Hall physics. This work relies on the equivalence between neutral particles under rotation and charged particles in a magnetic field to create rotational analogs of quantum Hall states of bosons. A novel geometric squeezing protocol is …
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Coulomb drag in quantum Hall systems near v = 1/2
… layers of two-dimensional electron gases in the quantum Hall regime near Landau level filling fraction v = 1/2. Within the composite fermion approach, we use Boltzmann transport theory to determine the polarizability of the composite fermions. While this approach works at filling fraction v = …
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New methods of observation and characterization of fractional quantum Hall states
… 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 external …
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Lowest Landau level field theory for the fractional quantum Hall effect
… 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 terms. The LLL …
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Implementation of the Quantum Hall Effect based precision resistance measurement system
The integer Quantum Hall Effect (QHE) occurs when a two-dimensional electron gas (2DEG) is subjected to a strong perpendicular magnetic field and when the system is cooled to low temperatures. The QHE harbours a wealth of unique phenomena. Of interest is the existence of the Quantum Hall Resistance …
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