Magnetism V5

Magnetism V5

1st Edition - January 1, 1973

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  • Editor: Harry Suhl
  • eBook ISBN: 9780323151269

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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.

Table of Contents

  • Contributors to Volume V


    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


    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


    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


    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


    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


    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


    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


    8. Functional Integral Methods in the Magnetic Impurity Problem


    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


    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


    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


    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


    Author Index

    Subject Index

Product details

  • No. of pages: 416
  • Language: English
  • Copyright: © Academic Press 1973
  • Published: January 1, 1973
  • Imprint: Academic Press
  • eBook ISBN: 9780323151269

About the Editor

Harry Suhl

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