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Reference: Simon Charles Davenport, (2013). Multicomponent fractional quantum Hall effects. DPhil. University of Oxford.Citable link to this page:

 

Multicomponent fractional quantum Hall effects

Abstract: This thesis scrutinizes the condensed matter physics phenomenon known as the fractionalquantum Hall effect (FQHE), in particular fractional quantum Hall effectsoccurring in multicomponent systems. Broadly speaking, the FQHE can be definedas a many-electron quantum phenomenon, driven by strong interactions, that occursin two-dimensional electron gasses in the presence of a perpendicular externalmagnetic field (and it is also predicted to occur for any two-dimensional particles,such as confined cold atoms, in an external gauge field). Multicomponent systemsare systems where the constituent particles (such as electrons or cold atoms) possessinternal degrees of freedom, for instance a spin or valley index. These internaldegrees of freedom are often overlooked when modeling the FQHE.Taking into account the multicomponent degree of freedom yields an abundanceof possibilities for the intellection of new types of so-called “topological phases ofmatter”, which are ubiquitously associated with the FQHE. In this thesis severaldifferent cases are considered. The first topic discussed herein is a study of phasetransitions that can take place between FQHE phases with different net values oftheir multicomponent degrees of freedom. Examples are phase transitions betweenphases of different uniform net spin polarization, tunable as a function of certainsystem parameters. Some significant technical refinements are made to a previousmodel and comparisons are made with a variety of different experiments. Theresults are relevant for multicomponent FQHEs occurring in GaAs,AlAs and SiGesemiconductor systems where the electronic structure is confined to two dimensions,as well as in two-dimensional materials such as graphene.The second topic discussed herein is the introduction of the multiparticle multicomponentpseudopotential formalism. This methodology is oriented towards considerablyexpanding an existing framework for the construction of exactly solvableFQHE models by parameterizing multicomponent interactions. The final topic isthe first example application of this new formalism to the construction of an exactlysolvable FQHE model.

Digital Origin:Born digital Type of Award:DPhil Level of Award:Doctoral Awarding Institution: University of Oxford Notes:The following note solely concerns figures 1.4, 1.5 and 2.2 within the thesis. "Readers may view, browse, and/or download material for temporary copying purposes only, provided these uses are for noncommercial personal purposes. Except as provided by law, this material may not be further reproduced, distributed, transmitted, modified, adapted, performed, displayed, published, or sold in whole or part, without prior written permission from the American Physical Society."

Contributors

Prof Steven H. SimonMore by this contributor

RoleSupervisor

 Bibliographic Details

Issue Date: 2013

Copyright Date: 2013 Identifiers

Urn: uuid:6a907943-c134-4986-93bc-30766a424b9c Item Description

Type: thesis;

Language: en Keywords: Fractional quantum Hall effectSubjects: Condensed matter theory Tiny URL: ora:8727

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Autor: Simon Charles Davenport - institutionUniversity of Oxford facultyMathematical,Physical and Life Sciences Division - Physics - The

Fuente: https://ora.ox.ac.uk/objects/uuid:6a907943-c134-4986-93bc-30766a424b9c



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