Approximation methods in the polaron theory: applications to low dimensionally confined polarons

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buir.advisorErçelebi, Atilla
dc.contributor.authorSenger, R. Tuğrul
dc.date.accessioned2016-01-08T20:13:42Z
dc.date.available2016-01-08T20:13:42Z
dc.date.issued1996
dc.descriptionAnkara : Department of Physics and Institute of Engineering and Science of Bilkent Univ., 1996.en_US
dc.descriptionThesis (Master's) -- Bilkent University, 1996.en_US
dc.descriptionIncludes bibliographical references leaves 113-122.en_US
dc.description.abstractThe pelaron problem has been of interest in condensed matter physics cind held theory tor cibout half a century. Within the framework of Vcist variety of theoreticcil approximations, the bulk polaron properties have been extensively (explored and fairly well understood in the literature. In the last two deccides, with the impressive progress achieved in the mici-ofabrication technology, it became possible to ol)t£iin low dimensional microstructures, in which the charge ca.rriers are confined in one or more spatial dii'ections. Consequently, there has appeared (|uite a large interest in phonon coupling-induced effects and polaronic properties of low dimensionally confined electrons. In this context, this thesis work is devoted to the study of low dimensional optical polaron properties, with the application of several different formal approaches common in the literature, such as perturbation theory, variatioiicil principles and Feynman path integral formalism. The model we adopt in this work consists of an electron, confined within an external potential (quantuni well), and interacting via the Fröhlich Harniltonian with the bulk LO-phonons of the relevant well material. Therefore, our primary concern is to give a clear view of only the bulk phonon effects on an electron in confined media, and we disregard all other complications that may come about from screening effects, phonon confinement, etc. Under these assumptions, we calculate the ground state energy, the effective mass, and some other quantities of polaron in several confinement geometries. We also provide a broad interpolating overview to the one polaxon problem in the overall range of electron-phonon coupling constant and in a general type of confinement, which can be conformed from one geometriccd configuration to another. Another interesting theme of the polaron theory, magneto-polaron, is considered in the context of the confinement effect on the polaron, brought about by the rncignetic field. A detailed analysis is given in the case, where the effect of electron-phonon coupling is dominated over by the magnetic field counterpart of the problem.en_US
dc.description.provenanceMade available in DSpace on 2016-01-08T20:13:42Z (GMT). No. of bitstreams: 1 1.pdf: 78510 bytes, checksum: d85492f20c2362aa2bcf4aad49380397 (MD5)en
dc.description.statementofresponsibilitySenger, R Tuğrulen_US
dc.format.extentxi, 122 leavesen_US
dc.identifier.urihttp://hdl.handle.net/11693/17821
dc.language.isoEnglishen_US
dc.rightsinfo:eu-repo/semantics/openAccessen_US
dc.subjectOptical polaronen_US
dc.subjectelectron-phonon interactionen_US
dc.subjectFröhlich Hamiltoinen_US
dc.subjectlow dimensional structuresen_US
dc.subjectquantum wireen_US
dc.subjectquantum doten_US
dc.subjectpath integralen_US
dc.subjectmagneto-polaronen_US
dc.subject.lccQC176.8.P6 S46 1996en_US
dc.subject.lcshPolarons.en_US
dc.subject.lcshElectron-phonon interactions.en_US
dc.titleApproximation methods in the polaron theory: applications to low dimensionally confined polaronsen_US
dc.typeThesisen_US
thesis.degree.disciplinePhysics
thesis.degree.grantorBilkent University
thesis.degree.levelMaster's
thesis.degree.nameMS (Master of Science)

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