Theory of Magnetism

The book is intended for graduate students and researchers who wish to master the main properties of magnetic materials in the bulk state and at the nanometric scale such as for thin films and multilayers. This textbook provides the theories and methods of simulation to study and to understand these properties in an explicit manner.

In the first part of the book, the quantum theory of magnetism is presented while the second part of the book is devoted to the application of the theory of magnetism to surface physics. Numerous examples covering typical cases in ferromagnets, antiferromagnets, ferrimagnets, helimagnets, and frustrated spin systems are all illustrated. Fundamental surface effects are shown and discussed. Lastly, the spin transport is described — in which the basic formulation of the Boltzmann's equation is recalled — and the recent methods of Monte Carlo simulation to deal with the spin resistivity are explained.

This book contains a large number of detailed solutions for the problems given in each chapter to help readers discover new related phenomena and applications, as well as an appendix on elements of statistical physics included at the end to make the book self-contained.
Contents:Theory of Magnetism:Magnetism of Free Electrons and AtomsExchange Interaction in an Electron GasMagnetic Exchange InteractionsMagnetism: Mean-Field TheoryTheory of MagnonsGreen's Function Method in MagnetismPhase TransitionMethods of Monte Carlo SimulationApplication to Surface Physics:Magnetic Properties of Thin FilmsMonte Carlo Simulation of Spin TransportSolutions of Problems:Solutions of ProblemsAppendices:Introduction to Statistical PhysicsA Simple Monte Carlo Program for Ising Model
Readership: Intended for graduate students and researchers to learn the main properties of magnetic materials in the bulk state and at the nanometric scale such as for thin films and multilayers.
Key Features:The book provides basic theories and methods of simulationSome elements of condensed matter physics taught at a first year graduate level is the prerequisite requirement to master the theoretical methodsIt covers static and dynamic properties including spin transport in thin films and multilayers