Theory of itinerant electron magnetism / Jürgen Kübler.

Format:

Book

Author/Creator:

Kübler, Jürgen K., author.

Series:

International series of monographs on physics ; 172.

Oxford scholarship online.

International series of monographs on physics ; 172

Oxford scholarship online

Language:

English

Subjects (All):

Magnetism, Band theory of.

Free electron theory of metals.

Quantum theory.

Physical Description:

1 online resource (544 pages) : illustrations (black and white).

Edition:

Second edition.

Place of Publication:

Oxford : Oxford University Press, 2021.

Summary:

This second edition, in the broadest sense, is an application of quantum mechanics and statistical mechanics to the field of magnetism. It can be used for parts of a specialised course on material properties or solid-state physics and magnetism.

Contents:

Cover

Theory of Itinerant Electron Magnetism

Copyright

Preface

Preface to the revised edition

Preface to the second edition

Contents

1: Introduction

1.1 Basic facts

1.2 Itinerant electrons

1.2.1 Gas of free electrons

1.2.2 Landau levels

1.2.3 The susceptibility of a gas of free electrons

1.2.4 The de Haas-van Alphen effect

1.2.5 The Lifshitz-Kosevich formula

1.2.6 Pauli paramagnetism

1.3 How to proceed

2: 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)

2.8.1 Formal properties of density functionals

2.8.2 Scaling relations

2.8.3 The correlation energy of the homogeneous electron gas

2.8.4 Linear response: screening in the electron gas

2.8.5 Analytical expression for GGA

3: Energy-Band Theory

3.1 Bloch's theorem

3.2 Plane waves, orthogonalized plane waves, and pseudopotentials

3.2.1 Plane waves

3.2.2 OPW method

3.2.3 Pseudopotentials

3.3 Augmented plane waves and Green's functions

3.3.1 APW

3.3.2 Multiple scattering theory

3.4 Linear methods

3.4.1 LCAO

3.4.2 Energy derivative of the wave function: ϕ and ϕ

3.4.3 Linear augmented plane waves (LAPW)

3.4.4 Linear combination of muffin-tin orbitals (LMTO)

3.4.5 Augmented spherical waves (ASW)

3.4.6 The Korringa-Kohn-Rostoker atomic sphere approximation (KKR-ASA)

3.4.7 ASW for arbitrary spin configurations

3.4.7.1 Secular equation and density matrix

3.4.7.2 Incommensurate spiral structure

3.4.7.3 Relativistic corrections

4 Electronic Structure and Magnetism.

4.1 Introduction and simple concepts

4.1.1 Stoner theory

4.2 The magnetic susceptibility

4.2.1 Linear response

4.2.2 The Stoner condition and other basic facts

4.2.2.1 The Stoner condition

4.2.2.2 Band-structure features of the transition metals

4.2.2.3 Crystal phase stability

4.2.3 The static nonuniform magnetic susceptibility

4.2.3.1 Nonmagnetic V, Cr, and Pd

4.2.3.2 The longitudinal susceptibilities of ferromagnetic Fe, Co, and Ni

4.3 Elementary magnetic metals

4.3.1 Ground-state properties of Fe, Co, and Ni

4.3.2 Volume dependence of transition metal magnetism

4.3.3 Band structure of ferromagnetic metals

4.3.3.1 bcc Iron

4.3.3.2 hcp Cobalt

4.3.3.3 Nickel

4.3.4 Electronic structure of antiferromagnetic metals

4.3.4.1 Manganese

4.3.4.2 Chromium

4.3.4.3 Manganese (cont.)

4.3.4.4 Iron

4.4 Magnetic compounds

4.4.1 The Slater-Pauling curve

4.4.1.1 Generalized Slater-Pauling curve

4.4.1.2 Constant minority-electron count

4.4.2 Selected case studies

4.4.2.1 CrO2

4.4.2.2 Heusler compounds

4.4.2.3 Double perovskites

4.4.2.4 Invar

4.5 Multilayers

4.5.1 Oscillatory exchange coupling

4.5.1.1 RKKY exchange

4.5.1.2 Free electrons

4.5.1.3 Aliasing

4.5.1.4 Fermi surface effects

4.5.2 Oscillatory exchange coupling in the quantum-well picture

4.5.2.1 Confined states in multilayers

4.5.2.2 A simple model

4.5.2.3 Green's functions

4.5.3 Giant magnetoresistance

4.5.3.1 The Boltzmann equation

4.5.3.2 Approximate evaluation of the conductivity

4.5.3.3 Tunnel magnetoresistance

4.6 Relativistic effects

4.6.1 Magneto-optical properties

4.6.2 Symmetry properties of spin-orbit coupling

4.6.3 Noncollinear magnetic structures in uranium compounds

4.6.3.1 The case of U3X4

4.6.3.2 The case of UPdSn

4.6.4 Weak ferromagnetism.

4.6.4.1 Hematite (α-Fe2O3)

4.6.4.2 The case of Mn3Sn

4.6.5 Magneto-crystalline anisotropy

4.7 Berry phase effects in solids

4.7.1 The anomalous Hall effect

4.7.2 The anomalous Hall effect in antiferromagnets

4.8 Weyl fermions

4.9 Real-case Weyl fermions

4.9.1 Topological effects in magnetic compounds

4.9.2 Topology of antiferromagnetic compounds

4.9.3 The Nernst effect

4.9.4 Remark about topology

5 Magnetism at Finite Temperatures

5.1 Density-functional theory at T &gt

0

5.2 Adiabatic spin dynamics

5.2.1 Magnon spectra of bcc Fe, fcc Co, and fcc Ni

5.2.2 Magnon spectra for non-primitive lattices and compounds

5.2.3 Thermal properties of itinerant-electron ferromagnets at low temperatures

5.3 Mean-field theories

5.3.1 A useful example

5.4 Spin fluctuations

5.4.1 A simple formulation

5.4.2 Exploratory results for the elementary ferromagnets

5.4.2.1 Nickel

5.4.2.2 fcc Cobalt

5.4.2.3 Iron

5.4.2.4 hcp Cobalt

5.4.3 Simple itinerant antiferromagnets

5.4.3.1 fcc Mn

5.4.3.2 FeRh

5.4.4 Previous, semi-empirical spin-fluctuation theories

5.4.5 Connection with the fluctuation-dissipation theorem

5.4.6 The dynamic approximation

5.4.6.1 More on nickel

5.4.6.2 The weakly ferromagnetic compound Ni3Al

5.4.7 The spherical approximation

5.4.7.1 Exchange in detail

5.4.8 Collection of results

5.5 Magnetic skyrmions

5.5.1 Formal properties of magnetic skyrmions

5.5.2 The phase transition

5.5.3 New developments

5.6 High-temperature approaches

5.6.1 Short-range order

5.6.2 The disordered local moment state

5.6.2.1 The coherent potential approximation (CPA)

5.6.2.2 Lloyd's formula

5.6.2.3 The CPA integrated density of states

5.6.2.4 The spin susceptibility in the paramagnetic state

5.6.2.5 Results.

5.6.2.6 Onsager cavity-field approximation

References

Index.

Notes:

This edition also issued in print: 2021.

Previous edition: 2009.

Description based on online resource; title from home page (viewed on September 10, 2021).

Includes bibliographical references and index.

ISBN:

0-19-264954-X

0-19-191583-1

OCLC:

1280068424