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Strongly Correlated Systems

Theoretical Methods

  • Book
  • © 2012

Overview

Editors:
  1. Adolfo Avella

    1. Dipartimento di Fisica "E.R. Caianiello", Università degli Studi di Salerno, Fisciano (SA), Italy

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  2. Ferdinando Mancini

    1. Dipartimento di Fisica "E.R. Caianiello", Università degli Studi di Salerno, Fisciano (SA), Italy

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  • First graduate textbook on analytical methods for strongly correlated systems
  • For the very first time an exhaustive collection of modern theoretical methods specifically tailored for the analysis of strongly correlated systems is presented
  • Didactical presentation of one of the most fundamental and substantial field in condensed matter physics

Part of the book series: Springer Series in Solid-State Sciences (SSSOL, volume 171)

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Table of contents (13 chapters)

  1. Front Matter

    Pages i-xxxi
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  2. Density Functional Theory: A Personal View

    • Robert O. Jones
    Pages 1-28

  3. Projected Wavefunctions and High T c Superconductivity in Doped Mott Insulators

    • Mohit Randeria, Rajdeep Sensarma, Nandini Trivedi
    Pages 29-64

  4. The Pseudoparticle Approach to Strongly Correlated Electron Systems

    • Raymond Frésard, Johann Kroha, Peter Wölfle
    Pages 65-101

  5. The Composite Operator Method (COM)

    • Adolfo Avella, Ferdinando Mancini
    Pages 103-141

  6. LDA+GTB Method for Band Structure Calculations in the Strongly Correlated Materials

    • Sergey G. Ovchinnikov, Vladimir A. Gavrichkov, Maxim M. Korshunov, Elena I. Shneyder
    Pages 143-171

  7. Projection Operator Method

    • Nikolay M. Plakida
    Pages 173-202

  8. Dynamical Mean-Field Theory

    • Dieter Vollhardt, Krzysztof Byczuk, Marcus Kollar
    Pages 203-236

  9. Cluster Perturbation Theory

    • David Sénéchal
    Pages 237-270

  10. Dynamical Cluster Approximation

    • H. Fotso, S. Yang, K. Chen, S. Pathak, J. Moreno, M. Jarrell et al.
    Pages 271-302

  11. Self-Energy-Functional Theory

    • Michael Potthoff
    Pages 303-339

  12. Cluster Dynamical Mean Field Theory

    • David Sénéchal
    Pages 341-371

  13. Functional Renormalization Group for Interacting Many-Fermion Systems on Two-Dimensional Lattices

    • Carsten Honerkamp
    Pages 373-408

  14. Two-Particle-Self-Consistent Approach for the Hubbard Model

    • André-Marie S. Tremblay
    Pages 409-453

  15. Back Matter

    Pages 455-461
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Keywords

About this book

The volume presents, for the very first time, an exhaustive collection of those modern theoretical methods specifically tailored for the analysis of Strongly Correlated Systems. Many novel materials, with functional properties emerging from macroscopic quantum behaviors at the frontier of modern research in physics, chemistry and materials science, belong to this class of systems. Any technique is presented in great detail by its own inventor or by one of the world-wide recognized main contributors. The exposition has a clear pedagogical cut and fully reports on the most relevant case study where the specific technique showed to be very successful in describing and enlightening the puzzling physics of a particular strongly correlated system. The book is intended for advanced graduate students and post-docs in the field as textbook and/or main reference, but also for other researchers in the field who appreciates consulting a single, but comprehensive, source or wishes to get acquainted, in a as painless as possible way, with the working details of a specific technique.

Reviews

From the reviews:

“This book covers a tremendous amount of material regarding the analysis of strongly correlated systems. It is concerned primarily with theoretical methods for describing transport properties in novel materials emerging from macroscopic quantum behaviors. It is intended for graduate students, postdocs and faculty who are interested in acquiring the broad background knowledge needed to become successful researchers in this area.” (Christian Brosseau, Optics & Photonics News, October, 2012)

“This book is a collection of several chapters presenting analytical methods (motivation, successes and limitations) to understand the physical properties of systems in which electrons are correlated. … It is aimed at advanced graduate students and/or young post-docs in physics active in the field of correlated systems, and is therefore quite specialized. The reader is supposed to have a strong familiarity with concepts of many-body physics … .” (Gabriel Stoltz, Mathematical Reviews, January, 2013)

Editors and Affiliations

  • Dipartimento di Fisica "E.R. Caianiello", Università degli Studi di Salerno, Fisciano (SA), Italy

    Adolfo Avella, Ferdinando Mancini

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