Many-body properties of one-dimensional systems with contact interaction

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buir.advisorTanatar, Bilal
dc.contributor.authorDemirel, Ekrem
dc.date.accessioned2016-01-08T20:16:26Z
dc.date.available2016-01-08T20:16:26Z
dc.date.issued1999
dc.departmentDepartment of Physicsen_US
dc.descriptionAnkara : The Department of Physics and the Institute of Engineering and Science of Bilkent Univ., 1999.en_US
dc.descriptionThesis (Master's) -- Bilkent University, 1999.en_US
dc.descriptionIncludes bibliographical references leaves 49-54en_US
dc.description.abstractThe one-dimensional electron systems are attracting a lot of interest because of theoretical and technological implications. These systems are usually fabricated on two-dimensional electron systems by confining the electrons in one of the remaining free directions by using nanolithographic techniques. There are also naturally occuring orgnanic conductors such as TTF-TCNQ whose conductivity is thought to be largely one-dimensional. The one-dimensional electron systems are important theoretically since they constitute one of the simplest many-body systems of interacting fermions with properties very different from three- and two-dimensional systems. The one-dimensional electron gas with a repulsive contact interaction model can be a useful paradigm to investigate these peculiar many-body properties. The system of bosons are also very interesting because of the macroscopic effects such as Bose-Einstein condensation and superfluidity. Another motivation to study one-dimensional Bose gas is the theoretical thought that one-dimensional electron gas gives boson gas characteristics. This work is based on the study of correlation effects in one-dimensional electron and boson gases with repulsive contact interactions. The correlation effects are described by a localfield correction which takes into account the short-range correlations. We use Vashishta-Singwi approach to calculate static correlation effects in onedimensional electron and boson gases. We find that Vashishta-Singwi approach gives better results than the other approximations. We also study the dynamical correlation effects in a one-dimensional electron gas with contact interaction within the quantum version of the self-consistent scheme of Singwi et al. (STLS) We calculate frequency dependent local-field corrections for both density and spin fluctuations. We investigate the structure factors, spin-dependent pair-correlation functions, and collective excitations. We compare our results with other theoretical approaches.en_US
dc.description.degreeM.S.en_US
dc.description.provenanceMade available in DSpace on 2016-01-08T20:16:26Z (GMT). No. of bitstreams: 1 1.pdf: 78510 bytes, checksum: d85492f20c2362aa2bcf4aad49380397 (MD5)en
dc.description.statementofresponsibilityDemirel, Ekremen_US
dc.format.extentix, 54 leavesen_US
dc.identifier.urihttp://hdl.handle.net/11693/18120
dc.language.isoEnglishen_US
dc.publisherBilkent Universityen_US
dc.rightsinfo:eu-repo/semantics/openAccessen_US
dc.subjectOne-dimensional electron gasen_US
dc.subjectBose gasen_US
dc.subjectcontact interactionen_US
dc.subjectcorrelation effectsen_US
dc.subjectlocal-field correctionen_US
dc.subjectSTLS approximationen_US
dc.subjectVashishta-Singwi approximationen_US
dc.subjectstructure factorsen_US
dc.subjectpaircorrelation functionsen_US
dc.subjectcollective excitationsen_US
dc.subject.lccQC175.16.E6 D46 1999en_US
dc.subject.lcshElectron gas.en_US
dc.subject.lcshOne-dimensional conductors.en_US
dc.titleMany-body properties of one-dimensional systems with contact interactionen_US
dc.typeThesisen_US

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