Magnetism V5

Magnetism, Volume V: Magnetic Properties of Metallic Alloys deals with the magnetic properties of metallic alloys and covers topics ranging from conditions favoring the localization of effective moments to the s-d model and the Kondo effect, along with perturbative, scattering, and Green's function theories of the s-d model. Asymptotically exact methods used in addressing the Kondo problem are also described.

Comprised of 12 chapters, this volume begins with a review of experimental results and phenomenology concerning the formation of local magnetic moments in metals, followed by a Hartree-Fock description of local states. The intensive activity that followed Kondo's discovery of a serious divergence in the perturbative calculation of certain physical properties of magnetic alloys is described in detail. The parallel problems encountered when the matrix is superconducting are discussed from a theoretical viewpoint. The remaining chapters examine the coexistence of superconductivity and magnetism; magnetic hyperfine-interaction studies of the s-d model and the Kondo effect; functional integral methods for the problem of magnetic impurities; and magnetic moment effects in superconductors.

This book will be of interest to students and practitioners in solid state physics.

Contenu

Contributors to Volume V
Preface
Contents of Previous Volumes
Part I. Conditions Favoring Localization of Effective Moments

1. Formation of Local Magnetic Moments in Metals: Experimental Results and Phenomenology
   I. Introduction
   II. Experimental Observables in the Local Moment Problem
   III. General Features Revealed by Experiment
   IV. Solid Solutions of 3d Elements in Simple Hosts
   V. Transition Metals Containing 3d Solutes
   VI. Local Moment Formation in Rare Earth Metals
   References
2. Formation of Local Magnetic Moments: Hartree-Fock Theory
   I. Introduction
   II. Friedel's Approach: Resonance Scattering and Virtual Bound States
   III. Anderson's Approach
   IV. Discussion of the Hartree-Fock Solutions
   V. The Antiferromagnetic Coupling Between Localized and Conduction Electrons
   VI. Transition Impurities in Transition Metals
   VII. Conclusions
   References
3. Spin Fluctuations Around Impurities: Magnetic and Nonmagnetic Cases
   I. Introduction
   II. Theory of Local Spin Fluctuations Associated with Paramagnetic Impurities in Metals: Mean Field Description
   III. Renormalized Theories of Local Spin Fluctuations: Nonmagnetic and Magnetic Cases
   IV. The Effect of Local Spin Fluctuations on the Properties of Dilute Alloys
   References
   Part II. The s-d Model
4. The s-d Model and the Kondo Effect: Thermal and Transport Properties
   I. Introduction
   II. Thermal and Transport Properties
   III. Interactions
   IV. Review Articles
   References
5. The s-d Model and the Kondo Effect: Magnetic Hyperfine-Interaction Studies
   I. Introduction
   II. Theory of Magnetic Hyperfine Interactions in Dilute Alloys
   III. Impurity Magnetization Studies
   IV. Dynamic Response Studies
   V. Concluding Remarks
   References
6. Perturbative, Scattering, and Green's Function Theories of the s-d Model
   I. Introduction
   II. Hamiltonian and Green's Functions
   III. Dispersion Theory
   IV. Equation of Motion Method
   V. Properties of the Solution
   VI. Thermal Properties
   VII. Electrical Conductivity
   VIII. Magnetic Field Effects
   Appendix A. Diagrammatic Methods
   Appendix B. Electronic Susceptibility
   References
7. Asymptotically Exact Methods in the Kondo Problem
   I. Introduction
   II. The Kondo Problem: A Discrete Path-Integral Approach
   III. Eliminating the Fermi Gas
   IV. The Method of Schotte and Schotte
   V. Summing Up Over the Paths
   VI. Finite Temperatures
   VII. Numerical Results
   VIII. The Scaling Method
   IX. The Kondo Temperature
   X. Physical Implications
   XI. "Renormalization Group" Methods in the Kondo Problem
   References
8. Functional Integral Methods in the Magnetic Impurity Problem
   References
9. The Ground State of the s-d Model
   I. Introduction
   II. Perturbaion Theoretic Approach for the Singlet Ground State
   III. Bound State for the Anisotropic Exchange Interaction
   IV. Charge, Spin Polarization, and Spin Correlation Densities
   V. Bound State in the Presence of Magnetic Field
   VI. Local Electron Distributions and Magnetoresistance
   VII. Concluding Remarks
   References
   Part III. Magnetic Moment Effects in Superconductors
10. Paramagnetic Impurities in Superconductors
    I. Introduction
    II. Long-Lived Local Moments in Superconductors
    III. The Effect of Nonmagnetic Resonant States on Superconductivity
    IV. The Effect of Localized Spin Fluctuations on Superconductivity
    V. Magnetic-Nonmagnetic Transitions of Impurities in Superconductors
    References
11. Recent Work on Ferromagnetic Superconductors
    I. Introduction
    II. Magnetic Ordering in a Superconductor. The Low-Concentration Limit
    III. Coexistence in More Concentrated Systems. The Case of Ce1-xGdxRu2
    IV. Superconductor in a Molecular Field. Compensation of the Exchange Field by an External Field
    V. Final Remarks
    References
12. Recent Theoretical Work on Magnetic Impurities in Superconductors
    I. Introduction
    II. Model and Greek's Functions
    III. Nagoaka Approximation
    IV. Solution of Hammann's Equation
    V. Results at Low Impurity Concentration
    VI. Treatment of Finite Impurity Concentrations
    VII. Conclusion
    References
    Author Index
    Subject Index