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dc.identifier.urihttp://hdl.handle.net/11401/76711
dc.description.sponsorshipThis work is sponsored by the Stony Brook University Graduate School in compliance with the requirements for completion of degree.en_US
dc.formatMonograph
dc.format.mediumElectronic Resourceen_US
dc.language.isoen_US
dc.publisherThe Graduate School, Stony Brook University: Stony Brook, NY.
dc.typeDissertation
dcterms.abstractThe spatial periodicity of the crystal structure dictates the electronic band structure theory as the fundamental paradigm in solid state physics. The original translation in materials is commonly broken with an enlarged unit cell required by spontaneously developed long-range order or multiple competing periodicities. The former happens in the systems undergoing the phase transition to antiferromagnetism, charge/spin density waves or lattice distortion. The latter originates from the intrinsic arrangement of the multiple atom system or the externally introduced impurities. The emergence of the broken symmetry can significantly modify the electronic structure, shift the chemical potential, and change the electric, magnetic or optical response in the experimental measurement. In this thesis, the impact of the translational symmetry breaking on various materials is investigated by utilizing the first-principles Wannier functions. We represent the electronic structure by calculating the one-particle spectral function in the reference momentum basis corresponding to a shorter periodicity. In the first case, the lattice distortion in Li metal at high pressures is found to cause the Fermi surface topological change, termed Lifshitz transition. This transition triggers an anomalous enhancement of superconductivity. In the second case, we formulate a theoretical approach to create massless Dirac particles in one-band two-dimensional lattice from the inspiration of understanding Dirac cone formation in graphene. In the last case, we discuss that staggered tetrahedral structures in Fe-based superconductors can imply the orbital-parity selective physics in the quasi-particles and superconducting pairing structures.
dcterms.available2017-09-20T16:51:02Z
dcterms.contributorAllen, Philipen_US
dcterms.contributorKu, Weien_US
dcterms.contributorSchneble, Dominiken_US
dcterms.contributorHybertsen, Mark.en_US
dcterms.creatorLin, Chia-Hui
dcterms.dateAccepted2017-09-20T16:51:02Z
dcterms.dateSubmitted2017-09-20T16:51:02Z
dcterms.descriptionDepartment of Physics.en_US
dcterms.extent120 pg.en_US
dcterms.formatApplication/PDFen_US
dcterms.formatMonograph
dcterms.identifierhttp://hdl.handle.net/11401/76711
dcterms.issued2013-12-01
dcterms.languageen_US
dcterms.provenanceMade available in DSpace on 2017-09-20T16:51:02Z (GMT). No. of bitstreams: 1 Lin_grad.sunysb_0771E_11662.pdf: 14230161 bytes, checksum: 85eb1ae9c216d110be485efdf754411a (MD5) Previous issue date: 1en
dcterms.publisherThe Graduate School, Stony Brook University: Stony Brook, NY.
dcterms.subjectPhysics
dcterms.subjectband structure, Fe-based superconductor, graphene, superconductivity
dcterms.titleTranslational Symmetry Breaking in Materials: First-principles Wannier Function Study
dcterms.typeDissertation


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