《Magnetism Volume V Magnetic Properties of Metallic Alloys》

Part Ⅰ．CONDITIONS FAVORING LOCALIZATION OF EFFECTIVE MOMENTS3

1．Formation of Local Magnetic Moments in Metals:Experimental Results and Phenomenology＆Dieter K．Wohlleben and Bryan R．Coles3

Ⅰ．Introduction3

Ⅱ．Experimental Observables in the Local Moment Problem7

Ⅲ．General Features Revealed by Experiment17

Ⅳ．Solid Solutions of 3d Elements in Simple Hosts31

Ⅴ．Transition Metals Containing 3d Solutes34

Ⅵ．Local Moment Formation in Rare Earth Metals37

References51

2．Formation of Local Magnetic Moments:Hartree-Fock Theory＆A．Blandin57

Ⅰ．Introduction58

Ⅱ．Friedel＇s Approach:Resonance Scattering and Virtual Bound States59

Ⅲ．Anderson＇s Approach64

Ⅳ．Discussion of the Hartree-Fock Solutions70

Ⅴ．The Antiferromagnetic Coupling between Localized and Conduction Electrons73

Ⅵ．Transition Impurities in Transition Metals78

Ⅶ．Conclusions86

References87

3．Spin Fluctuations around Impurities:Magnetic and Non magnetic Cases＆D．L．Mills,M．T．Béal-Monod,and P．Lederer89

Ⅰ．Introduction89

Ⅱ．Theory of Local Spin Fluctuations Associated with Paramagnetic Impurities in Metals:Mean Field Description92

Ⅲ．Renormalized Theories of Local Spin Fluctuations:Nonmagnetic and Magnetic Cases100

Ⅳ．The Effect of Local Spi Fluctuations on the Properties of Dilute Alloys109

References116

Part Ⅱ．THE s-d MODEL121

4．The s-d Model and the Kondo Effect:Thermal and Transport Properties＆Melvin D．Daybell121

Ⅰ．Introduction121

Ⅱ．Thermal and Transport Properties125

Ⅲ．Interactions140

Ⅳ．Review Articles144

References144

5．The s-d Model and the Kondo Effect:Magnetic Hyperfine-Interaction Studies＆Albert Narath149

Ⅰ．Introduction149

Ⅱ．Theory of Magnetic Hyperfine Interactions in Dilute Alloys150

Ⅲ．Impurity Magnetization Studies157

Ⅳ．Dynamic Response Studies174

Ⅴ．Concluding Remarks179

References180

6．Perturbative,Scattering,and Green＇s Function Theories of the S-d Model＆W．Brenig and J．Zittartz185

Ⅰ．Introduction185

Ⅱ．Hamiltonian and Green＇s Functions186

Ⅲ．Dispersion Theory189

Ⅳ．Equation of Motion Method192

Ⅴ．Properties of the Solution198

Ⅵ．Thermal Properties200

Ⅶ．Electrical Conductivity205

Ⅷ．Magnetic Field Effects205

Appendix A．Diagrammatic Methods210

Appendix B．Electronic Susceptibility213

References214

7．Asymptotically Exact Methods in the Kondo Problem＆P．W．Anderson and G．Yuval217

Ⅰ．Introduction217

Ⅱ．The Kondo Problem:A Discrete Path-Integral Approach219

Ⅲ．Eliminating the Fermi Gas221

Ⅳ．The Method of Schotte and Schotte224

Ⅴ．Summing Up over the Paths225

Ⅵ．Finite Temperatures227

Ⅶ．Numerical Results228

Ⅷ．The Scaling Method230

Ⅸ．The Kondo Temperature232

Ⅹ．Physical Implications233

Ⅺ．＂RenormalizationGroup＂Methods in the Kondo Problem233

References235

8．Functional Integral Methods in the Magnetic Impurity Problem＆D．R．Hamann and J．R．Schrieffer237

References252

9．The Ground State of the s-d Model＆Kei Yosida and Akio Yoshimori253

Ⅰ．Introduction253

Ⅱ．Perturbaion Theoretic Approach for the Singlet Ground State258

Ⅲ．Bound State for the Anisotropic Exchange Interaction264

Ⅳ．Charge,Spin Polarization,and Spin Correlation Densities270

Ⅴ．Bound State in the Presence of Magnetic Field274

Ⅵ．Local Electron Distributions and Magnetoresistance278

Ⅶ．Concluding Remarks284

References285

Part Ⅲ．MAGNETIC MOMENT EFFECTS IN SUPERCONDUCTORS289

10．Paramagnetic Impurities in Superconductors＆M．Brian Maple289

Ⅰ．Introduction289

Ⅱ．Long-Lived Local Moments in Superconductors291

Ⅲ．The Effect of Nonmagnetic Resonant States on Superconductivity308

Ⅳ．The Effect of Localized Spin Fluctuations on Superconductivity313

Ⅴ．Magnetic-Nonmagnetic Transitions of Impurities in Superconductors318

References323

11．Recent Work on Ferromagnetic Superconductors＆？．Fischer and M．Peter327

Ⅰ．Introduction327

Ⅱ．Magnetic Ordering in a Superconductor．The Low-Concentration Limit328

Ⅲ．Coexistence in More Concentrated Systems．The Case of Ce1-xGdxRu2336

Ⅳ．Superconductor in a Molecular Field．Compensation of the Exchange Field by an External Field343

Ⅴ．Final Remarks350

References351

12．Recent Theoretical Work on Magnetic Impurities in Superconductors＆E．Müller-Hartmann353

Ⅰ．Introduction353

Ⅱ．Model and Green＇s Functions355

Ⅲ．Nagoaka Approximation358

Ⅳ．Solution of Hammann＇s Equation361

Ⅴ．Results at Low Impurity Concentration369

Ⅵ．Treatment of Finite Impurity Concentrations375

Ⅶ．Conclusion380

References381

Author Index383

Subject Index395