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Correlated Electrons in Quantum Matter cover

An understanding of the effects of electronic correlations in quantum systems is one of the most challenging problems in physics, partly due to the relevance in modern high technology. Yet there exist hardly any books on the subject which try to give a comprehensive overview on the field covering insulators, semiconductors, as well as metals. The present book tries to fill that gap.

It intends to provide graduate students and researchers a comprehensive survey of electron correlations, weak and strong, in insulators, semiconductors and metals. This topic is a central one in condensed matter and beyond that in theoretical physics. The reader will have a better understanding of the great progress which has been made in the field over the past few decades.

Sample Chapter(s)
Chapter 1: Introduction (124 KB)
Chapter 2: Independent Electrons (783 KB)


Contents:
  • Introduction
  • Independent Electrons
  • Homogeneous Electron Gas
  • Density Functional Theory
  • Wavefunction-Based Methods
  • Correlated Ground-State Wavefunctions
  • Quasiparticle Excitations
  • Incoherent Excitations
  • Coherent-Potential Approximations
  • Strongly Correlated Electrons
  • Transition Metals
  • Transition-Metal Oxides
  • Heavy Quasiparticles
  • Excitations with Fractional Charges
  • Superconductivity

Readership: Graduate students and researchers in condensed matter physics.

Free Access
FRONT MATTER
  • Pages:i–xiii

https://doi.org/10.1142/9789814390934_fmatter

No Access
Introduction
  • Pages:1–7

https://doi.org/10.1142/9789814390934_0001

No Access
Independent Electrons
  • Pages:9–24

https://doi.org/10.1142/9789814390934_0002

No Access
Homogeneous Electron Gas
  • Pages:25–37

https://doi.org/10.1142/9789814390934_0003

No Access
Density Functional Theory
  • Pages:39–56

https://doi.org/10.1142/9789814390934_0004

No Access
Wavefunction-Based Methods
  • Pages:57–81

https://doi.org/10.1142/9789814390934_0005

No Access
Correlated Ground-State Wavefunctions
  • Pages:83–100

https://doi.org/10.1142/9789814390934_0006

No Access
Quasiparticle Excitations
  • Pages:101–135

https://doi.org/10.1142/9789814390934_0007

No Access
Incoherent Excitations
  • Pages:137–144

https://doi.org/10.1142/9789814390934_0008

No Access
Coherent-Potential Approximations
  • Pages:145–155

https://doi.org/10.1142/9789814390934_0009

No Access
Strongly Correlated Electrons
  • Pages:157–240

https://doi.org/10.1142/9789814390934_0010

No Access
Transition Metals
  • Pages:241–280

https://doi.org/10.1142/9789814390934_0011

No Access
Transition-Metal Oxides
  • Pages:281–320

https://doi.org/10.1142/9789814390934_0012

No Access
Heavy Quasiparticles
  • Pages:321–362

https://doi.org/10.1142/9789814390934_0013

No Access
Excitations with Fractional Charges
  • Pages:363–397

https://doi.org/10.1142/9789814390934_0014

No Access
Superconductivity
  • Pages:399–469

https://doi.org/10.1142/9789814390934_0015

Free Access
BACK MATTER
  • Pages:472–535

https://doi.org/10.1142/9789814390934_bmatter

“Peter Fulde's book is well suited as an introduction to the general field of correlated electron systems… For this purpose some elementary chapters are included. Finally, the book is hard work but also fun to read because of its personal style.”

Prof. Dr. Joachim Keller
Institut für Theoretische Physik
Universität Regensburg

“Written with great pedagogical skill, it will be of interest to both experts in the field and graduate students. The book presents a consistent description of a new branch of solid state physics — the theory of strongly correlated systems which cannot be treated by conventional approaches as the density functional theory being successful for many years in describing band structure of solids. In this respect it can be used as a textbook for a university course on this new and fascinating branch of solid state physics.”

Professor Nikolay Pladika
Joint Institute for Nuclear Research

“Peter Fulde provides an excellent introduction to this field. This book provides a very careful treatment of an extraordinarily wide range of topics, and is particularly strong on transition-metal oxides and heavy fermion systems. This carefully written book can be recommended to a very wide readership.”

Contemporary Physics

"The book serves as an excellent source of information for an advanced solid-state physics course at the graduate student level. It can also be used as a textbook in an advanced many-body physics course. I can highly recommend the book to both scholars and students interested in many-body physics from a mathematical perspective."

Il Nuovo Saggiatore