固体における磁気:入門<br>Magnetism in the Solid State : An Introduction (Springer Series in Solid-State Sciences) 〈Vol. 134〉

固体における磁気:入門
Magnetism in the Solid State : An Introduction (Springer Series in Solid-State Sciences) 〈Vol. 134〉

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  • 製本 Hardcover:ハードカバー版/ページ数 230 p.
  • 商品コード 9783540431831

基本説明

New in paperback. Hardcover was published in 2003. Gives a comprehensive survey of the various models of magnetism, describing their strengths, weaknesses and ranges of applicability.

Full Description


This book presents a phenomenological approach to the field of solid state magnetism. It surveys the various theories and discusses their applicability in different types of materials. The text will be valuable as a text for graduate courses in magnetism and magnetic materials.

Table of Contents

    A Historical Introduction                      1  (11)
Consequences of Fermi Statistics 12 (11)
Quantum Statistics of Fermions 12 (3)
Free Energy of the Fermi Gas 15 (8)
Paramagnetism 23 (6)
Energy Bands in the Crystal 29 (6)
Experimental Basis of Ferromagnetism 35 (16)
Nickel Alloys 40 (1)
Iron Alloys 41 (1)
Palladium Alloys 42 (1)
Iron-Nickel Alloys 42 (1)
Effects of Strong Magnetic Fields 42 (2)
Effects of High Pressure 44 (1)
Effects of Finite Temperature 45 (1)
Susceptibility above Tc 45 (3)
Susceptibility of ``Classical Spins'' 46 (2)
Critical Exponents 48 (1)
Neutron Diffraction 49 (1)
Further Experimental Methods 50 (1)
Weiss Molecular Field Model 51 (8)
Rhodes--Wohlfarth Plot 57 (2)
Heisenberg Model 59 (12)
Magnon Operators 59 (3)
Heisenberg Hamiltonian in Magnon Variables 62 (1)
Magnon Dispersion Relation 63 (4)
Specific Heat of Magnons 65 (1)
Ordering Temperature 66 (1)
Approximations for the Heisenberg Model 67 (4)
Ising Model 67 (1)
XY Model 68 (1)
Mean Field Solutions of the Heisenberg 69 (2)
Model
Itinerant Electrons at 0 K 71 (17)
Pauli Susceptibility of the Itinerant 76 (1)
Electrons
Susceptibility of the Interacting 76 (3)
Itinerant Electrons
Non-linear Effects 79 (1)
Effects of High Fields at 0 K 79 (6)
Non-magnetic Limit 80 (1)
Strong Ferromagnets 81 (1)
Weak Ferromagnets 81 (1)
bcc Iron and hcp Cobalt 81 (2)
Extremely High Fields 83 (1)
Metamagnetism 83 (2)
Susceptibility of Paramagnetic Alloys 85 (3)
Band Gap Theory of Strong Ferromagnetism 88 (8)
Magnetism of Alloys 92 (4)
Magnetism and the Crystal Structure -- 96 (15)
Covalent Magnetism
Crystal Structure of Mn, Fe, Co, and Ni 98 (2)
Covalent Magnetism 100(6)
Covalent Polarization 106(5)
Magnetic Impurities in an Electron Gas 111(5)
Impurity Potential in the Jellium 111(2)
Strong Perturbations in the Jellium 113(1)
Layer and Line Defects 113(1)
Magnetic Impurities and Oscillations of 114(2)
the Magnetization
Itinerant Electrons at T > 0: A 116(12)
Historical Survey
Excitations at Low Temperatures 120(3)
Strongly Ferromagnetic Systems 120(1)
Weakly Ferromagnetic Systems 121(2)
Stoner Theory for a Rectangular Band 123(2)
Weak Excitations with ζ << 1 125(3)
Hubbard Model 128(4)
Beyond Hartree--Fock 130(2)
Landau Theory for the Stoner Model 132(7)
General Considerations 132(2)
Application to the Stoner Model 134(5)
Coupling Between Itinerant and Localized 139(3)
Moments
Origin of the Molecular Field 142(10)
Heitler--London Theory for the Exchange 142(10)
Field
Magnetism of a Spin Cluster 147(2)
Spinwaves for Localized Electrons 149(3)
Exchange and Correlation in Metals 152(7)
Free Electron Gas 152(2)
Tightly Bound Electrons 154(5)
Spin Fluctuations 159(14)
Fluctuations of a Thermodynamical Variable 160(1)
Fluctuations of the Magnetic Moment 161(5)
Specific Heat of the Spin Fluctuations 166(1)
Magneto--Volume Coupling 167(2)
Applications of the Spin Fluctuation Model 169(2)
Comparing the Spin-Fluctuation and the 171(2)
Stoner-Model
Single Particle Excitations Versus Spin 173(5)
Waves
Landau--Ginzburg Model for Spin Fluctuations 178(8)
Conclusion and Lookout 186(3)
Appendices 189(18)
A. Convexity Property of the Free Energy 189(1)
B. Derivation of the Coefficient a in 189(3)
(3.17)
C. Quenching of the Orbital Momentum 192(2)
D. Properties of ``Classical'' Spins 194(2)
E. Derivation of the Constant c in (8.24) 196(1)
F. Ornstein--Zernicke Extension 197(2)
G. Bogoliubov--Peierls--Feynman Inequality 199(1)
H. The Factor 2 in Equation (7.27) 200(2)
I. Hund's Rules 202(2)
J. Polynomial Coefficients in (18.12) 204(1)
K. Conversion Between Magnetic Units 205(2)
References 207(6)
Index 213