Jürgen Kübler

Theory of Itinerant Electron Magnetism (eBook, PDF)

• Format: PDF

Produktbeschreibung

This book, in the broadest sense, is an application of quantum mechanics and statistical mechanics to the field of magnetism. Under certain well described conditions, an immensely large number of electrons moving in the solid will collectively produce permanent magnetism. Permanent magnets are of fundamental interest, and magnetic materials are of great practical importance as they provide a large field of technological applications. The physical details describing the many electron problem of magnetism are presented in this book on the basis of the density functional approximation. The emphasis is on realistic magnets, for which the equations describing properties of the many electron problem can only be solved by using computers. The significant recent and continuing improvements are, to a very large extent, responsible for the progress in this field. Along with an introduction to the density functional theory, the book describes representative computational methods and detailed formulas for physical properties of magnets which include among other things the computation of magnetic ordering temperatures, the giant magneto-resistance, magneto-optical effects, weak ferromagnetism, the anomalous Hall and Nernst effects, and novel quasiparticles, such as Weyl fermions and magnetic skyrmions.

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Produktdetails

• Verlag: Oxford University Press
• Seitenzahl: 600
• Erscheinungstermin: 24. September 2021
• Englisch
• ISBN-13: 9780192649546
• Artikelnr.: 62555466

Autorenporträt

Jürgen Kübler was born in Königsberg (Prussia), studied Physics in Giessen (Germany). Fulbright scholar in the USA. Ph.D. from the University of Kansas. Teaching and research positions held at the University of Cologne, Westfield College London, Texas A&M University in College Station, University of Bochum, and Technical University Darmstadt. Frequent visiting scientist at IBM Thomas J. Watson Research Center in Yorktown Heights, USA. Retired since 2002. Oeuvre of 180 publications.

Inhaltsangabe

Introduction
1.1: Basic Facts
1.2: Itinerant electrons
1.3: How to proceed
Density-Functional Theory
2.1: Born-Oppenheimer approximation
2.2: Hartree-Fock approximation
2.3: Density-functional theory
2.4: The electron spin: Dirac theory
2.5: Spin-density-functional theory
2.6: The local-density approximation (LDA)
2.7: Nonuniformly magnetized systems
2.8: The generalized gradient approximation (GGA)
Energy-Band Theory
3.1: Bloch's theorem
3.2: Plane waves, orthogonalized plane waves and Pseudopotentials
3.3: Augmented plane waves and Green's functions
3.4: Linear methods
Electronic Structure and Magnetism
4.1: Introduction and simple concepts
4.2: The magnetic susceptibility
4.3: Elementary magnetic metals
4.4: Magnetic compounds
4.5: Multilayers
4.6: Relativistic eects
4.7: Berry Phase effects in solids
4.8: Weyl Fermions
4.9: Real-case Weyl Fermions
Magnetism at Finite Temperatures
> 0
5.2: Adiabatic spin dynamics
5.3: Mean-field theories
5.4: Spin uctuations
5.5: Magnetic Skyrmions
5.6: High-temperature approaches
References