New Theoretical Approaches to Strongly Correlated Systems

1. Front Matter

   Pages i-xvii

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2. Quantum Critical Points

   1. Front Matter

      Pages 1-1

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   2. Damping of Collective Modes and Quasiparticles in d-Wave Superconductors

      • Subir Sachdev, Matthias Vojta

      Pages 3-21

3. Strongly Correlated One-Dimensional Systems

   1. Front Matter

      Pages 23-23

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   2. Dynamical Properties of One Dimensional Mott Insulators

      • Davide Controzzi, Fabian H. L. Essler, Alexei M. Tsvelik

      Pages 25-46

   3. Lectures on Non Perturbative Field Theory and Quantum Impurity Problems: Part II

      • H. Saleur

      Pages 47-88

   4. Ising-Model Description of Quantum Critical Points in 1D Electron and Spin Systems

      • A. A. Nersesyan

      Pages 89-116

   5. Commensurability, Topology and Luttinger’s Theorem in Quantum Many-Body Systems

      • Masaki Oshikawa

      Pages 117-137

4. Strong Correlations and Disorder

   1. Front Matter

      Pages 139-139

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   2. Critical Points in Two-Dimensional Replica Sigma Models

      • Paul Fendley

      Pages 141-161

   3. Topics in the Conformal Field Theory of Disordered Systems

      • John Cardy

      Pages 163-171

   4. Disordered Dirac Fermions: Three Different Approaches

      • M. J. Bhaseen, J.-S. Caux, I. I. Kogan, A. M. Tsvelik

      Pages 173-203

   5. Disordered Quantum Solids

      • T. Giamarchi, E. Orignac

      Pages 205-255

5. Dynamical Mean Field Theory

   1. Front Matter

      Pages 257-257

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   2. Model Hamiltonians and First Principles Electronic Structure Calculations

      • G. Kotliar, S. Y. Savrasov

      Pages 259-301

For many years, the physics of strongly correlated systems was considered a theorists' playground, right at the border with pure mathematics, where physicists from the `real world' did not venture. The time has come, however, when healthy physics cannot exist without these techniques and results.
Lectures on selected topics in the theory of strongly correlated systems are here presented by the leading experts in the field. Topics covered include a use of the form factor approach in low-dimensional systems, applications of quantum field theory to disorder, and dynamical mean field theory. The main divisions of the book deal with: I) Quantum Critical Points; (II) Strongly Correlated One-Dimensional Systems; (III) Strong Correlations and Disorder; and (IV) Dynamical Mean Field Theory.

• conformal field theory
• electron
• quantum field
• quantum field theory

• University of Oxford, Oxford, UK

  Alexei M. Tsvelik

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