Variational Monte Carlo study of two dimensional charged bosons

buir.advisorHetényi, Balázs
dc.contributor.authorKarakuzu, Seher
dc.date.accessioned2015-10-13T14:17:46Z
dc.date.available2015-10-13T14:17:46Z
dc.date.copyright2014-09
dc.date.issued2014-09
dc.departmentDepartment of Physicsen_US
dc.descriptionIncludes bibliographical references (pages 40-42).en_US
dc.descriptionThesis (M.S.): Bilkent University, The Department of Physics and the Graduate School of Engineering and Science of Bilkent University, 2014.en_US
dc.descriptionCataloged from PDF version of thesis.en_US
dc.description.abstractWe studied the ground state properties of 2D charged Bosons interacting via Coulomb potential using the Variational Monte Carlo method. We start with the paper of McMillan [1] in which there are 3D Bosons interacting via Lennard-Jones potential. We calculate ground state energy and pair distribution function of the system and our results are compared with the original work. We also reproduce the paper of Liu et al. [2] and study the 2D Bosons interacting with the same potential. Our results are compared with the original work. In order to evaluate long-range potentials in periodic systems we introduce Ewald summation method for 2D system and Natoli-Ceperley method which evaluates potentials optimally. We compare our Natoli-Ceperley results with the Holzmann et al. [3]. We also investigate 2D charged Boson system interacting via Coulomb potential using the RPA pseudo potential. Our results are compared with de Palo et al. [4]. We try to optimize the wave function further introducing a Kinetic Energy projection to the original RPA wave function. We show that it is very difficult to optimize it further since it is a very good wave function.en_US
dc.description.degreeM.S.en_US
dc.description.statementofresponsibilityby Seher Karakuzu.en_US
dc.format.extentx, 42 leaves : graphics.en_US
dc.identifier.itemidB148516
dc.identifier.urihttp://hdl.handle.net/11693/14004
dc.language.isoEnglishen_US
dc.publisherBilkent Universityen_US
dc.rightsinfo:eu-repo/semantics/openAccessen_US
dc.subjectBose gasen_US
dc.subjectElectron gasen_US
dc.subjectVariational Monte Carloen_US
dc.subjectRPAen_US
dc.subjectEwald Summationen_US
dc.subjectNatoli-Ceperleyen_US
dc.subject.lccQC174.85.M64 K373 2014en_US
dc.subject.lcshMonte Carlo method.en_US
dc.subject.lcshBosons.en_US
dc.titleVariational Monte Carlo study of two dimensional charged bosonsen_US
dc.typeThesisen_US
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