It is easiest to discuss the theory of magnetism in such metals where the electrons can be clearly divided into distinct sets of tightly bound and quasifree particles. Hopefully, the results still have qualitative merit when the ...

Author: Daniel C. Mattis

Publisher: Springer Science & Business Media

ISBN: 9783642832383

Category: Science

Page: 300

View: 212

Starting with a historical introduction to the study of magnetism - one of the oldest sciences known to man - before considering the most modern theories and observations (magnetic bubbles and soap films, effects of magnetic impurities in metals and spin glasses), this book develops the concepts and the mathematical expertise necessary to understand contemporary research in this field. Magnetic systems are important in technology and applied science, but they are also prototypes of more complex mathematical structures of great importance to theoretical physics. These connections are made repeatedly in this volume. After development of the necessary quantum theory of angular momentum and of interacting electron systems, a number of models which have been successful in the interpretation of experimental results are introduced: the Ising model, the Heisenberg model, the Stoner theory, the Kondo phenomenon, and so on. In the second edition the thorough approach and the main features which made the first edition a popular text have been retained. All important theories are worked out in detail using methods and notation that are uniform throughout. Footnotes and an extensive bibliography provide a guide to the original literature. A number of problems test the reader's skill.

What is thermodynamics? What does statistical physics teach us? In the pages of this slim book, we confront the answers.

Author: Daniel C. Mattis

Publisher: Springer Science & Business Media

ISBN: 9783642824050

Category: Science

Page: 184

View: 247

What is thermodynamics? What does statistical physics teach us? In the pages of this slim book, we confront the answers. The reader will discover that where thermodynami cs provi des a 1 arge scal e, macroscopi c theory of the ef fects of temperature on physical systems, statistical mechanics provides the microscopic analysis of these effects which, invariably, are the results of thermal disorder. A number of systems in nature undergo dramatic changes in aspect and in their properties when subjected to changes in ambient temperature or pres sure, or when electric or magnetic fields are applied. The ancients already knew that a liquid, a solid, or a gas can represent different states of the same matter. But what is meant by "state"? It is here that the systematic study of magnetic materials has provided one of the best ways of examining this question, which is one of the principal concerns of statistical physics (alias "statistical mechanics") and of modern thermodynamics.

Starting with a historical introduction to the study of magnetism - one of the oldest sciences known to man - before considering the most modern theories and observations (magnetic bubbles and soap films, effects of magnetic impurities in ...

A thorough presentation of the RKKY and related models of indirect exchange is also featured, and a chapter on surface magnetism, rarely found in other textbooks, adds to the uniqueness of this book.For the second edition, three new ...

Author: Norberto Majlis

Publisher: World Scientific

ISBN: 9789812567925

Category: Science

Page: 377

View: 838

This advanced level textbook is devoted to the description of systems which show ordered magnetic phases. A wide selection of topics is covered, including a detailed treatment of the mean-field approximation as the main paradigm for the phenomenological description of phase transitions. The book discusses the properties of low-dimensional systems and uses Green's functions extensively after a useful mathematical introduction. A thorough presentation of the RKKY and related models of indirect exchange is also featured, and a chapter on surface magnetism, rarely found in other textbooks, adds to the uniqueness of this book.For the second edition, three new chapters have been added, namely on magnetic anisotropy, on coherent magnon states and on local moments. Additionally, the chapter on itinerant magnetism has been enlarged by including a section on paramagnons.

superconductors was important for the development of the theory of superconductivity (Bardeen, 1963). The second class comprises all substances which possess a permanent magnetic moment, such as the transition elements of the periodic ...

Author: D. Wagner

Publisher: Elsevier

ISBN: 9781483156682

Category: Science

Page: 292

View: 182

Introduction to the Theory of Magnetism is an introductory text on the theory of magnetism. The discussions are organized around diamagnetism, paramagnetism, and ferromagnetism. The exchange interaction and the resulting many-particle problem for a system of atomic spins are also considered, and the properties of this system are examined in several approximations. This book is comprised of three chapters and begins with a review of the fundamental effects of diamagnetism, paying particular attention to the Bohr-van Leeuwen theorem, the Fermi gas, Landau levels, and cyclotron resonance. The diamagnetism of atoms and ions and of electrons is also described, and the magnetic moment of a free electron gas produced by the intrinsic magnetic moment of the electrons is calculated. The next chapter is devoted to the classical theory of paramagnetism and covers the paramagnetism of free electrons, free atoms (rare earths), and atoms in a crystal. Paramagnetic resonance and the Zeeman effect of free atoms are highlighted. The third and last chapter focuses on ferromagnetism and ferromagnetic resonance, together with the molecular-field approximation, spin waves, high temperatures, and the band model. This monograph will be a valuable resource for students of physics.

Starting with a historical introduction to the study of magnetism - one of the oldest sciences known to man - before considering the most modern theories and observations (magnetic bubbles and soap films, effects of magnetic impurities in ...

Author: Daniel C. Mattis

Publisher: Springer

ISBN: 3540184252

Category: Science

Page: 300

View: 739

Starting with a historical introduction to the study of magnetism - one of the oldest sciences known to man - before considering the most modern theories and observations (magnetic bubbles and soap films, effects of magnetic impurities in metals and spin glasses), this book develops the concepts and the mathematical expertise necessary to understand contemporary research in this field. Magnetic systems are important in technology and applied science, but they are also prototypes of more complex mathematical structures of great importance to theoretical physics. These connections are made repeatedly in this volume. After development of the necessary quantum theory of angular momentum and of interacting electron systems, a number of models which have been successful in the interpretation of experimental results are introduced: the Ising model, the Heisenberg model, the Stoner theory, the Kondo phenomenon, and so on. In the second edition the thorough approach and the main features which made the first edition a popular text have been retained. All important theories are worked out in detail using methods and notation that are uniform throughout. Footnotes and an extensive bibliography provide a guide to the original literature. A number of problems test the reader's skill.

In this new edition, while retaining much of the material in earlier editions, the author has eliminated some of the bulk and added a number of new subjects.

Author: Daniel Charles Mattis

Publisher: World Scientific Publishing Company Incorporated

ISBN: UCSD:31822034715433

Category: Science

Page: 565

View: 817

In this new edition, while retaining much of the material in earlier editions, the author has eliminated some of the bulk and added a number of new subjects. Among these are the effects of lowering the dimensionality and the importance of the two-body Coulomb interactions.

The book, written in a tutorial style, starts from the fundamental features of atomic magnetism, discusses the essentially single-particle problems of dia- and paramagnetism, in order to provide the basis for the exclusively interesting ...

Author: Wolfgang Nolting

Publisher: Springer

ISBN: 3540854150

Category: Science

Page: 752

View: 261

Magnetism is one of the oldest and most fundamental problems of Solid State Physics although not being fully understood up to now. On the other hand it is one of the hottest topics of current research. Practically all branches of modern technological developments are based on ferromagnetism, especially what concerns information technology. The book, written in a tutorial style, starts from the fundamental features of atomic magnetism, discusses the essentially single-particle problems of dia- and paramagnetism, in order to provide the basis for the exclusively interesting collective magnetism (ferro, ferri, antiferro). Several types of exchange interactions, which take care under certain preconditions for a collective ordering of localized or itinerant permanent magnetic moments, are worked out. Under which conditions these exchange interactions are able to provoke a collective moment ordering for finite temperatures is investigated within a series of theoretical models, each of them considered for a very special class of magnetic materials. The book is written in a tutorial style appropriate for those who want to learn magnetism and eventually to do research work in this field. Numerous exercises with full solutions for testing own attempts will help to a deep understanding of the main aspects of collective ferromagnetism.