Theory of Itinerant Electron Magnetism

by Kübler, Jürgen

• ISBN13: 9780198500285
• ISBN10: 0198500289
• Format: Hardcover
• Copyright: 2000-10-19
• Publisher: Oxford University Press

Summary

This book is an application of quantum mechanics and statistical mechanics to the field of magnetism. A large part of the book is devoted to a detailed treatment of the connections between electronic properties and magnetism, and how they differ in the various known magnetic systems. Current trends are exposed and explained for a large class of alloys and compounds. The modern field of artificially layered systems - known as multilayers - and their industrial applications are dealt with in detail. The book also relates the rich thermodynamic properties of magnets to the ab initio results originating from the electronic structure.

Table of Contents

Introduction	1	(24)
Basic facts	1	(3)
Itinerant electrons	4	(20)
Gas of free electrons	5	(1)
Landau levels	6	(6)
The susceptibility of a gas of free electrons	12	(1)
The de Haas-van Alphen effect	13	(1)
The Lifshitz-Kosevich formula	14	(6)
Pauli paramagnetism	20	(4)
How to proceed	24	(1)
Density-functional theory	25	(53)
Born-Oppenheimer approximation	25	(3)
Hartree-Fock approximation	28	(7)
Density-functional theory	35	(6)
The electron spin: Dirac theory	41	(9)
Spin-density-functional theory	50	(3)
The local-density approximation (LDA)	53	(3)
Nonuniformly magnetized systems	56	(6)
The generalized gradient approximation (GGA)	62	(16)
Formal properties of density functionals	63	(3)
Scaling relations	66	(3)
The correlation energy of the homogeneous electron gas	69	(1)
Linear response: screening in the electron gas	70	(3)
Analytical expression for GGA	73	(5)
Energy-band theory	78	(73)
Bloch's theorem	78	(7)
Plane waves and orthogonalized plane waves	85	(6)
Plane waves	85	(3)
OPW method	88	(3)
Augmented plane waves and Green's functions	91	(13)
APW	92	(6)
Multiple scattering theory	98	(6)
Linear methods	104	(47)
LCAO	105	(1)
Energy derivative of the wave function: &phis; and &phis;	106	(5)
Linear augmented plane waves (LAPW)	111	(2)
Linear combination of muffin-tin orbitals (LMTO)	113	(3)
Augmented spherical waves (ASW)	116	(13)
The Korringa-Kohn-Rostoker atomic sphere approximation (KKR-ASA)	129	(8)
ASW for arbitrary spin configurations	137	(14)
Electronic Structure and Magnetism	151	(154)
Introduction and simple concepts	151	(11)
Stoner theory	158	(4)
The magnetic susceptibility	162	(25)
Linear response	162	(4)
The Stoner condition and other basic facts	166	(11)
The static nonuniform magnetic susceptibility	177	(10)
Elementary magnetic metals	187	(45)
Ground-state properties of Fe, Co and Ni	190	(4)
Volume dependence of transition metal magnetism	194	(4)
Band structure of ferromagnetic metals	198	(8)
Electronic structure of antiferromagnetic metals	206	(26)
Magnetic compounds	232	(22)
The Slater-Pauling curve	233	(12)
Selected case studies	245	(9)
Multilayers	254	(33)
Oscillatory exchange coupling	255	(11)
Oscillatory exchange coupling in the quantum-well picture	266	(13)
Giant magnetoresistance	279	(8)
Relativistic effects	287	(18)
Symmetry properties of spin-orbit coupling	288	(2)
Noncollinear magnetic structures in uranium compounds	290	(7)
Weak ferromagnetism	297	(5)
Magneto-crystalline anisotropy	302	(3)
Magnetism at Finite Temperatures	305	(67)
Density-functional theory at T < O	305	(3)
Adiabatic spin dynamics	308	(11)
Magnon spectra of bcc Fe, fcc Co and fcc Ni	312	(3)
Magnon spectra of hcp Co	315	(1)
Magnon spectrum of a compound	316	(1)
Thermal properties of itinerant electron ferromagnets at low temperatures	317	(2)
Mean-field theories	319	(5)
A useful example	320	(4)
Spin fluctuations	324	(31)
Elemental magnets	324	(11)
Previous, semi-empirical spin-fluctuation theories	335	(2)
Simple itinerant antiferromagnets	337	(6)
Spin fluctuations in nonprimitive lattices	343	(10)
Connection with the fluctuation-dissipation theorem	353	(2)
High-temperature approaches	355	(17)
Short-range order	355	(4)
The disordered local moment state	359	(13)
Appendix A: The ASW Program	372	(13)
A.1 Test 1: The band structure of bcc Fe	373	(6)
A.2 Test 2: The compound CuFe	379	(1)
A.3 Test 3: A simple CoCu multilayer	380	(5)
References	385	(18)
Index	403