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dc.contributor.advisorVishwanath, Ashvin
dc.contributor.authorLee, Jong Yeon
dc.date.accessioned2020-10-16T14:37:05Z
dc.date.created2020-05
dc.date.issued2020-05-14
dc.date.submitted2020
dc.identifier.citationLee, Jong Yeon. 2020. Fractionalization, Emergent Gauge Dynamics, and Topology in Quantum Matter. Doctoral dissertation, Harvard University, Graduate School of Arts & Sciences.
dc.identifier.urihttps://nrs.harvard.edu/URN-3:HUL.INSTREPOS:37365919*
dc.description.abstractQuantum phenomena at macroscopic scales are fascinating, given that quantum mechanical effects usually manifest only at atomic scales due to their fragile nature. Enriched with symmetry, topology, and entanglement, quantum matters exhibit exotic emergent properties that defy our classical intuitions. This dissertation is devoted to the study of quantum matters, consisting of three distinct topics. The first part studies quantum phases of matter and their phase transitions, with an emphasis on the role of symmetry and their exotic natures. Employing both analytical and numerical methods, we study the deconfinement physics in quantum Hall systems and quantum magnets. The second part focuses on the physics of Moir\'e systems in two-dimensional materials that exhibit interesting single-particle as well as correlated many-body physics. Using a continuum model description, we illuminate several recent experimental findings in twisted double bilayer graphenes. The last part touches on a more unconventional topic, non-Hermitian systems. We provide mathematical foundations to classify their topological structure as well as the potential connection to anomalous or driven systems.
dc.description.sponsorshipPhysics
dc.format.mimetypeapplication/pdf
dc.language.isoen
dash.licenseLAA
dc.subjectQuantum matter
dc.subjectStrongly correlated systems
dc.subjectTopology
dc.subjectDeconfinement
dc.titleFractionalization, Emergent Gauge Dynamics, and Topology in Quantum Matter
dc.typeThesis or Dissertation
dash.depositing.authorLee, Jong Yeon
dc.date.available2020-10-16T14:37:05Z
thesis.degree.date2020
thesis.degree.grantorGraduate School of Arts & Sciences
thesis.degree.grantorGraduate School of Arts & Sciences
thesis.degree.levelDoctoral
thesis.degree.levelDoctoral
thesis.degree.nameDoctor of Philosophy
thesis.degree.nameDoctor of Philosophy
dc.contributor.committeeMemberSachdev, Subir
dc.contributor.committeeMemberKim, Philip
dc.type.materialtext
thesis.degree.departmentPhysics
thesis.degree.departmentPhysics
dash.identifier.vireo
dash.author.emaildlwhddus9999@gmail.com


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