Studies in low dimensions: Modulated stripe phase in the quantum Hall effect: Correlators in the Calogero -Sutherland model.
Item
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Title
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Studies in low dimensions: Modulated stripe phase in the quantum Hall effect: Correlators in the Calogero -Sutherland model.
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Identifier
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AAI3037448
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identifier
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3037448
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Creator
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Tevlin, Lenny.
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Contributor
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Adviser: Joseph L. Birman
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Date
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2002
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Language
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English
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Publisher
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City University of New York.
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Subject
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Physics, Condensed Matter
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Abstract
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In the first part of this work I investigate the structure of the ground state of a two-dimensional electron gas in the presence of weak transverse magnetic field and a weak external periodic potential. The ground state of the system without periodic potential is thought to be a unidirectional guiding center charge density wave. This state describes electrons arranged in stripes periodic in one direction (the stripes are uniform in the other direction); therefore this state often referred to as a stripe state.;The effect of the periodic potential is considered in two cases: when the potential is perpendicular to the direction of the stripes, and when it is parallel to them. In both cases we calculate the cohesive energy. In the first case we also obtain modifications of positions and widths of the stripes due to the external potential. In the second case the stripes can only change their widths and we calculate this change. I also study the conductivity of the striped state in the periodic potential. I find that the correction to the conductivity scales as the square root of the amplitude of the applied potential when the potential is perpendicular to the stripes. The sign of the correction depends on the value of the ratio of the period of the external potential and the natural period of the charge density wave. Certain period matching conditions lead to a decrease, while others to an increase in the conductivity.;In the second part, I present the calculation of correlations functions of the Calogero-Sutherland model. The model, describing one-dimensional electrons with long-ranged interactions confined to a circle, is exactly solvable. I extend the method of Jack polynomials to the calculation of the dynamical polarization tensor.
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Type
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dissertation
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Source
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PQT Legacy CUNY.xlsx
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degree
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Ph.D.
