Theory of Itinerant Electron Magnetism

Jürgen Kübler, Technical University Darmstadt, Germany

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.

Introduction1.1. Basic Facts1.2. Itinerant electrons1.3. How to proceedDensity-Functional Theory2.1. Born-Oppenheimer approximation2.2. Hartree-Fock approximation2.3. Density-functional theory2.4. The electron spin: Dirac theory2.5. Spin-density-functional theory2.6. The local-density approximation (LDA)2.7. Nonuniformly magnetized systems2.8. The generalized gradient approximation (GGA)Energy-Band Theory3.1. Bloch's theorem3.2. Plane waves, orthogonalized plane waves and pseudopotentials3.3. Augmented plane waves and Green's functions3.4. Linear methodsElectronic Structure and Magnetism4.1. Introduction and simple concepts4.2. The magnetic susceptibility4.3. Elementary magnetic metals4.4. Magnetic compounds4.5. Multilayers4.6. Relativistic effects4.7. Berry Phase effects in solids4.8. Weyl Fermions4.9. Real-case Weyl fermionsMagnetism at Finite Temperatures5.1. Density-functional theory at T 05.2. Adiabatic spin dynamics5.3. Mean-field theories5.4. Spin fluctuations5.5. Magnetic skyrmions5.6. High-temperature approachesReferencesIndex