Modern Theories of Many-Particle Systems in Condensed Matter Physics

  • Daniel C. Cabra
  • Andreas Honecker
  • Pierre Pujol

Part of the Lecture Notes in Physics book series (LNP, volume 843)

Table of contents

  1. Front Matter
    Pages i-xiii
  2. Antonio H. Castro Neto
    Pages 117-144
  3. Hartmut Hafermann, Frank Lechermann, Alexei N. Rubtsov, Mikhail I. Katsnelson, Antoine Georges, Alexander I. Lichtenstein
    Pages 145-214
  4. Alexander Altland, Reinhold Egger
    Pages 215-244
  5. R. Augusiak, F. M. Cucchietti, M. Lewenstein
    Pages 245-294
  6. C. R. Laumann, R. Moessner, A. Scardicchio, S. L. Sondhi
    Pages 295-332

About this book


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.


Dynamical mean field theory Electronic liquid crystal phases Frustrated magnetism Graphene physics Quantum phase transitions Strongly-correlated systems Transport through quantum dots quantum information and quantum computational complexity

Editors and affiliations

  • Daniel C. Cabra
    • 1
  • Andreas Honecker
    • 2
  • Pierre Pujol
    • 3
  1. 1., Departamento de Física/IFLPUniversidad Nacional de La PlataLa PlataArgentina
  2. 2., Institut für Theoretische PhysikGeorg-August-Universität GöttingenGöttingenGermany
  3. 3., Laboratoire de Physique ThéoriqueUniversité Paul SabatierToulouse Cedex 4France

Bibliographic information