Sachdev, SubirSenthil, T.Zou, Liujun2019-12-122019-052019-05-032019Zou, Liujun. 2019. An odyssey in modern quantum many-body physics. Doctoral dissertation, Harvard University, Graduate School of Arts & Sciences.http://nrs.harvard.edu/urn-3:HUL.InstRepos:42029677This thesis is a collection of research work in quantum many-body physics that I have done during the past few years. The topics include: 1. a theory of anomalous magnetotransport from mass anisotropy of the fermions on a Fermi surface; 2. attempts to understand and build a model for magic-angle bilayer graphene; 3. phenomena of dimensional decoupling at various continuous Mott transitions; 4. possible field-induced neutral Fermi surface and QCD3-Chern-Simons quantum criticalities in Kitaev materials; 5. examples showing that the commonly-employed methods for detecting topological orders may generate spurious results; 6. a classification of three-dimensional symmetry enriched U(1) quantum spin liquids, and the applications of the ideas therein to study topological crystalline insulators.application/pdfenentanglement, symmetry, quantum spin liquids, quantum criticalities, non-Fermi liquids, twisted bilayer graphene, topologyThesis or Dissertation2019-12-12