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Document Type : Latin Dissertation
Language of Document : English
Record Number : 151718
Doc. No : ET23510
Main Entry : Xm Wan
Title Proper : A STUDY OF QUANTUM PHASE TRANSITIONS IN TWO DIMENSIONAL - ELECTRON SYSTEMS
Note : This document is digital این مدرک بصورت الکترونیکی می باشد
Abstract : This thesis discusses possible theoretical explanation of novel phase transitions in twodimensional electron systems, including quantum Hall transition at strong as well asweak magnetic fields, and the zero-magnetic-field metal-insulator transition.For the quantum Hall transitions, studied for non-interacting electrons, a trun-cation technique is proposed to project the Hilbert space of a tight-binding latticemodel to an individual magnetic subband (single Landau level) or multiple subbands(multiple Landau levels). Projection of the Hilbert space to a center subband is alsoproposed for study of possible quantum Hall transitions with Hall conductance changeAo, = ne2/h (n 3 2), which seem to exist in dirty samples at weak magnetic fieldsin different experimental systems. Algorithms of calculating Thouless number andChern number, which relate to the longitudinal conductance and the Hall conduc-tance, respectively, are developed within the truncated Hilbert space. The finite-sizescaling theory is employed in analyzing the numerical data to identify phases in thethermodynamic limit.The effect of mass anisotropy on the Wigner crystallization transition in an in-......-....,....-...,..tested for theQ1 PC1 bus cardBoth these projects mere sofixare des elopment efforts tonards contributing to dlfferentaspects of Roboucs and lZ1echatronics projects m the Controls and Roboucs Group..
Subject : Electericl tess
: برق
electronic file name : TL46751.pdf
Title and statement of responsibility and : A STUDY OF QUANTUM PHASE TRANSITIONS IN TWO DIMENSIONAL - ELECTRON SYSTEMS [Thesis]
 
 
 
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