Many-Body Approach to Electronic Excitations

Concepts and Applications

  • Friedhelm Bechstedt

Part of the Springer Series in Solid-State Sciences book series (SSSOL, volume 181)

Table of contents

  1. Front Matter
    Pages i-xxxi
  2. Electron–Electron Interaction

    1. Front Matter
      Pages 1-1
    2. Friedhelm Bechstedt
      Pages 3-11
    3. Friedhelm Bechstedt
      Pages 13-27
    4. Friedhelm Bechstedt
      Pages 29-47
    5. Friedhelm Bechstedt
      Pages 49-70
  3. Electronic Ground State

    1. Front Matter
      Pages 71-71
    2. Friedhelm Bechstedt
      Pages 73-88
    3. Friedhelm Bechstedt
      Pages 89-104
    4. Friedhelm Bechstedt
      Pages 105-127
    5. Friedhelm Bechstedt
      Pages 129-161
    6. Friedhelm Bechstedt
      Pages 163-195
  4. Single-Particle Excitations: Quasielectrons and Quasiholes

    1. Front Matter
      Pages 197-197
    2. Friedhelm Bechstedt
      Pages 199-208
    3. Friedhelm Bechstedt
      Pages 209-230
    4. Friedhelm Bechstedt
      Pages 231-253
    5. Friedhelm Bechstedt
      Pages 255-286
    6. Friedhelm Bechstedt
      Pages 287-325
    7. Friedhelm Bechstedt
      Pages 327-350
    8. Friedhelm Bechstedt
      Pages 351-393

About this book

Introduction

The many-body-theoretical basis and applications of theoretical spectroscopy of condensed matter, e.g. crystals, nanosystems, and molecules are unified in one advanced text for readers from graduate students to active researchers in the field. The theory is developed from first principles including fully the electron-electron interaction and spin interactions. It is based on the many-body perturbation theory, a quantum-field-theoretical description, and Green's functions. The important expressions for ground states as well as electronic single-particle and pair excitations are explained. Based on single-particle and two-particle Green's functions, the Dyson and Bethe-Salpeter equations are derived. They are applied to calculate spectral and response functions. Important spectra are those which can be measured using photoemission/inverse photoemission, optical spectroscopy, and electron energy loss/inelastic X-ray spectroscopy. Important approximations are derived and discussed in the light of selected computational and experimental results. Some numerical implementations available in well-known computer codes are critically discussed.The book is divided into four parts: (i) In the first part the many-electron systems are described in the framework of the quantum-field theory. The electron spin and the spin-orbit interaction are taken into account. Sum rules are derived. (ii) The second part is mainly related to the ground state of electronic systems. The total energy is treated within the density functional theory. The most important approximations for exchange and correlation are delighted. (iii) The third part is essentially devoted to the description of charged electronic excitations such as electrons and holes. Central approximations as Hedin's GW and the T-matrix approximation are discussed.(iv) The fourth part is focused on response functions measured in optical and loss spectroscopies and neutral pair or collective excitations.

Keywords

Dielectric Function Dyson and Bethe-Salpeter Equations Electron-Electron Interaction Electronic Excitation Exchange and Correlation Green's Functions Many Body-Theory Pair and Collective Excitations Single-particle Excitation Spectral Function Theoretical Spectroscopy

Authors and affiliations

  • Friedhelm Bechstedt
    • 1
  1. 1.Department of Physics and AstronomyFriedrich-Schiller UniversityJenaGermany

Bibliographic information

  • DOI https://doi.org/10.1007/978-3-662-44593-8
  • Copyright Information Springer-Verlag Berlin Heidelberg 2015
  • Publisher Name Springer, Berlin, Heidelberg
  • eBook Packages Physics and Astronomy
  • Print ISBN 978-3-662-44592-1
  • Online ISBN 978-3-662-44593-8
  • Series Print ISSN 0171-1873
  • Series Online ISSN 2197-4179
  • About this book