Fermi Surfaces Without Quasiparticles. Part V: Background -- Fermi Liquid Theory -- Dilute Bose Gas -- Bardeen-Cooper-Chrieffer Theory of Superconductivity -- Broken Symmetry and Superfluididty -- Landau-Ginzberg Theory -- Vortices in Superfluids and Superconductors -- Boson Hubbard Model -- Electron Hubbard Model -- Relativistic Scalar Field: Diagrams -- Relativistic Scalar Field: Correlation Functions -- Fermions and Bosons in One Spatial Dimension -- Part II: Fractionalization and Emergent Gauge Fields I -- Introduction to Gapped Spin Liquids -- Fractionalization in the XY Model in 2+1 Dimensions -- Theory of Gapped Z2 Spin Liquids -- Z2 Gauge Theory -- Chern-Simons Gauge Theories -- Part III: Band Topology -- Berry Phases and Chern Numbers -- Integer Quantum Hall States -- Topological Insulators and Superconductors -- Part IV: Fractionalization and Emergent Gauge Fields II -- Parton Theories -- The Chiral Liquid -- Non-Abelian Ising Anyons -- Fractional Quantum Hall States -- Dualities of XY Models and U (1) Gauge Theories -- Applications of Dualities to Spin Liquids -- Boson-Fermion and Fermion-Fermion Dualities -- Gapless Spin Liquids -- Part V: Correlated Metals -- Kondo Impurity Model -- The Heavy Fermi Liquid -- The Fractionalized Fermi Liquid -- Sachdev-Ye-Kitaev Models -- Random Quantum Spin Liquids and Spin Glasses -- Fermi Surfaces Without Quasiparticles.
Summary:
"This modern text describes the remarkable developments in quantum condensed matter physics following the experimental discoveries of quantum Hall effects and high temperature superconductivity in the 1980s. After a review of the phases of matter amenable to an independent particle description, entangled phases of matter are described in an accessible and unified manner. The concepts of fractionalization and emergent gauge fields are introduced using the simplest resonating valence bond insulator with an energy gap, the Z2 spin liquid. Concepts in band topology and the parton method are then combined to obtain a large variety of experimentally relevant gapped states. Correlated metallic states are described, beginning with a discussion of the Kondo effect on magnetic impurities in metals. Metals without quasiparticle excitations are introduced using the Sachdev-Ye-Kitaev model, followed by a discussion of critical Fermi surfaces and strange metals. Numerous end-of-chapter problems expand readers' comprehension and reinforce key concepts"-- Provided by publisher.
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