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El. knyga: Modern Theory of Magnetism in Metals and Alloys

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Modern Theory of Magnetism in Metals and AlloysDidesnis paveikslėlis
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This book describes theoretical aspects of metallic magnetism from metals to disordered alloys to amorphous alloys both at the ground state and at finite temperatures. Explores the topic via spin-fluctuation theories based on the functional integral method.

This book describes theoretical aspects of the metallic magnetism from metals to disordered alloys to amorphous alloys both at the ground state and at finite temperatures. The book gives an introduction to the metallic magnetism, and treats effects of electron correlations on magnetism, spin fluctuations in metallic magnetism, formation of complex magnetic structures, a variety of magnetism due to configurational disorder in alloys as well as a new magnetism caused by the structural disorder in amorphous alloys, especially the itinerant-electron spin glasses. The readers will find that all these topics can be understood systematically by means of the spin-fluctuation theories based on the functional integral method.
1 Introduction to Magnetism
1(28)
1.1 Magnetic Moments
1(2)
1.2 Basic Hamiltonian
3(3)
1.3 Formation of Atomic Moments
6(5)
1.4 Metal and Insulator in Solids
11(7)
1.5 Quenching of Orbital Magnetic Moments
18(1)
1.6 Heisenberg Model
19(3)
1.7 Magnetic Structure
22(7)
2 Metallic Magnetism at the Ground State
29(34)
2.1 Band Theory of Ferromagnetism
29(7)
2.2 Electron Correlations on Magnetism
36(11)
2.2.1 Stoner Condition in the Correlated Electron System
36(1)
2.2.2 Stability of Ferromagnetism in the Low Density Limit
37(3)
2.2.3 Gutzwiller Theory of Electron Correlations
40(7)
2.3 Density Functional Approach
47(16)
2.3.1 Slater's Band Theory
47(1)
2.3.2 Density Functional Theory
48(5)
2.3.3 Tight-Binding Linear Muffin-Tin Orbitals
53(5)
2.3.4 Ferromagnetism in Transition Metals
58(5)
3 Metallic Magnetism at Finite Temperatures
63(52)
3.1 Stoner Theory
63(4)
3.2 Functional Integral Method
67(7)
3.3 Single-Site Theory in the Static Approximation
74(9)
3.4 Dynamical CPA Theory
83(7)
3.5 Dynamical CPA with Harmonic Approximation
90(5)
3.6 Dynamical CPA and Dynamical Mean-Field Theory
95(9)
3.6.1 The Many-Body CPA and Its Equivalence to the Dynamical CPA
95(1)
3.6.2 The DMFT and Its Equivalence to the Dynamical CPA
96(6)
3.6.3 The Projection Operator Method CPA and Summary of Relations
102(2)
3.7 First-Principles Dynamical CPA and Metallic Magnetism
104(11)
4 Magnetic Excitations
115(20)
4.1 Spin Waves in the Local Moment System
115(3)
4.2 Spin Waves in Itinerant Ferromagnets
118(6)
4.3 Dynamical Susceptibility
124(5)
4.4 Dynamical Susceptibility in the RPA and Spin Wave Excitations
129(6)
5 Spin Fluctuation Theory in Weak Ferromagnets
135(14)
5.1 Free-Energy Formulation of the Stoner Theory
135(5)
5.2 Self-Consistent Renormalization Theory
140(9)
6 Antiferromagnetism and Spin Density Waves
149(32)
6.1 Antiferromagnetism in Metals
149(8)
6.2 Generalized Static Susceptibility and Antiferromagnetism
157(5)
6.3 Molecular Dynamics Theory for Complex Magnetic Structures
162(7)
6.4 Phenomenological Theory of Magnetic Structure
169(12)
6.4.1 Multiple SDW with Commensurate Wave Vectors
172(5)
6.4.2 Multiple SDW with Incommensurate Wave Vectors
177(4)
7 Magnetism in Dilute Alloys
181(22)
7.1 Magnetic Interactions and Spin Glasses in Dilute Alloys
181(12)
7.2 Magnetic Impurity in Noble Metals
193(10)
8 Magnetism of Disordered Alloys
203(50)
8.1 Slater-Pauling Curves
203(3)
8.2 Single-Site Theory of Disordered Alloys
206(11)
8.3 Theory of Local Environment Effects in Magnetic Alloys
217(25)
8.4 Computer Simulations for Disordered Magnetic Alloys
242(11)
9 Magnetism of Amorphous Metals and Alloys
253(48)
9.1 Introduction to the Amorphous Metallic Magnetism
253(2)
9.2 Amorphous Structure and Electronic Structure
255(3)
9.3 Theory of Amorphous Metallic Magnetism
258(8)
9.4 Magnetism of Amorphous Transition Metals
266(14)
9.4.1 General Survey
267(3)
9.4.2 Magnetism of Amorphous Fe, Co, and Ni
270(6)
9.4.3 Degree of Structural Disorder and Nonunique Magnetism
276(4)
9.5 Theory of Magnetism in Amorphous Alloys
280(7)
9.6 Magnetism of Amorphous Transition Metal Alloys
287(14)
9.6.1 TM-TM Amorphous Alloys
287(8)
9.6.2 The Other TM Alloys
295(6)
Appendix A Equivalence of the CPA Equations (3.83), (3.85), and (3.89) 301(4)
Appendix B Dynamical CPA Based on the Multiple Scattering Theory 305(4)
Appendix C Derivation of the Single-Site Spin Fluctuation Theory from the Dynamical CPA 309(4)
Appendix D Expansion of Dvσ with Respect to Dynamical Potential 313(6)
Appendix E Linear Response Theory 319(4)
Appendix F Isothermal Molecular Dynamics and Canonical Distribution 323(2)
Appendix G Recursion Method for Electronic Structure Calculations 325(4)
Appendix H An Integral in the RKKY Interaction 329(2)
References 331(8)
Index 339
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