Elements of Green Function and Density Functional Theory - Hardcover

Aryasetiawan, Ferdi

Hardcover

ISBN 10: 9819805791 ISBN 13: 9789819805792

Publisher: World Scientific Publishing, 2025

Synopsis

If there were no Coulomb interaction among electrons, it would be relatively straightforward to solve the many-electron Schrödinger equation. It is, however, precisely this interaction that is at the heart of numerous fascinating phenomena in condensed matter physics such as superconductivity, Kondo physics, magnetism, etc. Due to the large number of electrons in a material being of the order of Avogadro's number, it is at present — and perhaps in the foreseeable future — not feasible or even desirable to solve the Schrödinger equation to obtain the many-electron wavefunction. Fortunately, a large number of important physical properties can be calculated without explicit knowledge of the wavefunction. Two of the most important formalisms for dealing with the many-electron problem which avoid a direct use of the many-electron wavefunction are the Green function and the density functional theory. Within the Kohn-Sham scheme the latter is used to calculate ground-state properties whereas the former for excitation spectra. The book presents the fundamentals of these two theories in detail with essential many-body tools, such as the occupation number representation and Grassmann algebra developed from scratch. Prior knowledge of many-body theory is not a prerequisite so that it is readable for final-year undergraduates and graduate students in physics and chemistry as well as researchers in the field of electronic structure and many-body theory. The book includes in the last chapter an exposition of a density-functional path for determining the Green function, a new formalism recently proposed by the author. The book should be a valuable companion for those embarking in the field of many-electron physics.

About this title

About the Author

Since 2011 Ferdi Aryasetiawan is a professor in condensed matter theory at Lund University in Sweden. He obtained his bachelor degree in physics at Imperial College London, England and his PhD at Queen's University, Canada, and subsequently took up postdoctoral positions at Lund University and Max-Planck-Institute in Stuttgart, Germany. He spent over a decade at the National Institute of Advanced Industrial Science and Technology (AIST) in Tsukuba, Japan before settling at his current position. His main research work has been focused on first-principles approaches to the many-body problem in condensed matter physics. In particular, his contribution in merging electronic structure methods and many-body theory making possible first-principles electronic structure calculations of correlated materials is well recognised. His research work in this field is summarised in a recent book on Downfolding Methods in Many-Body Theory.

Edition details

• Publisher: World Scientific Publishing
• Publication date: 2025
• ISBN 10: 9819805791
• ISBN 13: 9789819805792
• Binding: Hardcover
• Language: English
• Number of pages: 600