Modern Theories of Many-Particle Systems in Condensed Matter Physics - Info and Reading Options

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Condensed matter systems where interactions are strong are inherently difficult to analyze theoretically. The situation is particularly interesting in low-dimensional systems, where quantum fluctuations play a crucial role. Here, the development of non-perturbative methods and the study of integrable field theory have facilitated the understanding of the behavior of many quasi one- and two-dimensional strongly correlated systems. In view of the same rapid development that has taken place for both experimental and numerical techniques, as well as the emergence of novel testing-grounds such as cold atoms or graphene, the current understanding of strongly correlated condensed matter systems differs quite considerably from standard textbook presentations. The present volume of lecture notes aims to fill this gap in the literature by providing a collection of authoritative tutorial reviews, covering such topics as quantum phase transitions of antiferromagnets and cuprate-based high-temperature superconductors, electronic liquid crystal phases, graphene physics, dynamical mean field theory applied to strongly correlated systems, transport through quantum dots, quantum information perspectives on many-body physics, frustrated magnetism, statistical mechanics of classical and quantum computational complexity, and integrable methods in statistical field theory. As both graduate-level text and authoritative reference on this topic, this book will benefit newcomers and more experienced researchers in this field alike.

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Intro -- Modern Theories of Many-Particle Systems in Condensed Matter Physics -- Preface -- Contents -- 1 Quantum Phase Transitions of Antiferromagnets and the Cuprate Superconductors -- 1.1 Introduction -- 1.2 Insulators -- 1.2.1 Coupled Dimer Antiferromagnets: Bond Operators -- 1.2.2 Frustrated Square Lattice Antiferromagnets: Schwinger Bosons -- 1.3 d-Wave Superconductors -- 1.3.1 Dirac Fermions -- 1.3.2 Magnetic Ordering -- 1.3.3 Ising Transitions -- 1.4 Metals -- 1.4.1 SDW Ordering -- 1.4.2 Nematic Ordering -- References -- 2 Electronic Liquid Crystal Phases in Strongly Correlated Systems -- 2.1 Electronic Liquid Crystal Phases -- 2.1.1 Symmetries of Electronic Liquid Crystal Phases -- 2.1.2 Order Parameters and Their Symmetries -- 2.1.3 Electronic Liquid Crystal Phases and Strong Correlation Physics -- 2.2 Experimental Evidence in Strongly Correlated Systems -- 2.2.1 Nematic Phases in the 2DEG in High Magnetic Fields -- 2.2.2 The Nematic Phase of Sr3Ru2O7 -- 2.2.3 Stripe Phases and Nematic Phases in the Cuprates -- 2.2.4 Conventional CDW Materials -- 2.3 Theories of Stripe Phases -- 2.3.1 Stripe Phases in Microscopic Models -- 2.3.2 Phases of Stripe States -- 2.4 Is Inhomogeneity Good or Bad for Superconductivity? -- 2.5 The Striped Superconductor: A Pair Density Wave State -- 2.5.1 Landau--Ginzburg Theory of the Pair Density Wave -- 2.5.2 Charge 4e SC Order and the Topological Excitations of the PDW SC State -- 2.6 Nematic Phases in Fermi Systems -- 2.6.1 The Pomeranchuk Instability -- 2.6.2 The Nematic Fermi Fluid -- 2.7 Generalizations: Unconventional Magnetism and Time Reversal Symmetry Breaking -- 2.8 Nematic Order in the Strong Correlation Regime -- 2.9 The Quantum Nematic-Smectic QCP and the Melting of the Stripe Phase -- 2.10 Outlook -- References -- 3 Selected Topics in Graphene Physics -- 3.1 Introduction

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