Theoretical Methods for Strongly Correlated Electrons

  • David Sénéchal
  • André-Marie Tremblay
  • Claude Bourbonnais

Part of the CRM Series in Mathematical Physics book series (CRM)

Table of contents

  1. Front Matter
    Pages i-xviii
  2. Numerical Methods

    1. Front Matter
      Pages 1-1
    2. Karen Hallberg
      Pages 3-37
  3. Lagrangian, Functional Integral, Renormalization Group, Conformal and Bosonization Methods

    1. Front Matter
      Pages 75-75
    2. D. Sénéchal
      Pages 139-186
    3. T. Giamarchi, E. Orignac
      Pages 187-233
  4. Functional Derivatives, Mean-Field, Self-Consistent Methods, Slave-Bosons, and Extensions

  5. Back Matter
    Pages 357-361

About this book


Focusing on the purely theoretical aspects of strongly correlated electrons, this volume brings together a variety of approaches to models of the Hubbard type – i.e., problems where both localized and delocalized elements are present in low dimensions. The chapters are arranged in three parts. The first part deals with two of the most widely used numerical methods in strongly correlated electrons, the density matrix renormalization group and the quantum Monte Carlo method. The second part covers Lagrangian, Functional Integral, Renormalization Group, Conformal, and Bosonization methods that can be applied to one-dimensional or weakly coupled chains. The third part considers functional derivatives, mean-field, self-consistent methods, slave-bosons, and extensions. Taken together, the contributions to this volume represent a comprehensive overview of current problems and developments.


Monte Carlo method Renormalization group chemistry condensed matter electron field theory many-body theory numerical method quantum chemistry quantum field theory scattering

Editors and affiliations

  • David Sénéchal
    • 1
  • André-Marie Tremblay
    • 1
  • Claude Bourbonnais
    • 1
  1. 1.Département de PhysiqueUniversité de SherbrookeSherbrookeCanada

Bibliographic information

Industry Sectors
Energy, Utilities & Environment