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New Theoretical Approaches to Strongly Correlated Systems

  • Book
  • © 2001

Overview

Editors:
  1. Alexei M. Tsvelik

    1. University of Oxford, Oxford, UK

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Part of the book series: NATO Science Series II: Mathematics, Physics and Chemistry (NAII, volume 23)

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Table of contents (10 chapters)

  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
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Keywords

About this book

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.

Editors and Affiliations

  • University of Oxford, Oxford, UK

    Alexei M. Tsvelik

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