Hubbard model In Square Lattices: A Mean-field Hartree-fock Approach

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buir.advisorHakioğlu, Tuğrul
dc.contributor.authorYönaç, Muhammed
dc.date.accessioned2016-07-01T11:02:40Z
dc.date.available2016-07-01T11:02:40Z
dc.date.issued2005
dc.departmentDepartment of Physicsen_US
dc.descriptionCataloged from PDF version of article.en_US
dc.description.abstractThis thesis is mainly an effort to reproduce the well-known results that HartreeFock approximation gives for the Hubbard Model in two dimensions. As the area of application magnetic phases in the finite-size square lattices was chosen. The reason of choosing this particular area is that in the sources we went through mean-field theory was used only for examining the magnetic phases for rectangular density of state not for the actual density of states of a square lattice. We used the mean-field Hartree-Fock approximation and obtained the phase diagrams for the paramagnetic, ferromagnetic, charge density wave (CDW) and spin density wave (SDW) phases. The antiferromagnetic phase was found to be a special kind of the SDW phase. The hamiltonians used for the ferromagnetic and paramagnetic cases were identical. However because of the non-diagonal correlations present in the system the CDW and SDW hamiltonian was different.en_US
dc.description.degreeM.S.en_US
dc.description.statementofresponsibilityYönaç, Muhammeden_US
dc.format.extentviii, 45 leavesen_US
dc.identifier.itemidBILKUTUPB091884
dc.identifier.urihttp://hdl.handle.net/11693/29645
dc.language.isoEnglishen_US
dc.publisherBilkent Universityen_US
dc.rightsinfo:eu-repo/semantics/openAccessen_US
dc.subjectHubbard Modelen_US
dc.subjectSquare latticeen_US
dc.subjectParamagnetismen_US
dc.subjectFerromagnetismen_US
dc.subjectAntiferromagnetismen_US
dc.subjectMean-fielden_US
dc.subjectCharge density waveen_US
dc.subjectSpin density waveen_US
dc.subject.lccQC176.8.E4 Y66 2005en_US
dc.subject.lcshHubbard model.en_US
dc.titleHubbard model In Square Lattices: A Mean-field Hartree-fock Approachen_US
dc.typeThesisen_US

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