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Dynamic Spin-Fluctuation Theory of Metallic Magnetism

  • Provides a clear and self-contained treatment of the many-electron problem of metallic magnetism
  • Introduces theoretical frameworks along with the necessary mathematical background
  • Emphasizes practical problems, illustrated by concrete metals and alloys
  • Includes detailed description of computational methods for practical applications
  • Written at postgraduate level, with some chapters accessible to graduate students with elementary knowledge of quantum mechanics, statistical mechanics, and solid state physics

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Table of contents (16 chapters)

  1. Front Matter

    Pages i-xviii
  2. Introduction

    • Nikolai B. Melnikov, Boris I. Reser
    Pages 1-5
  3. Basics of Metallic Magnetism

    • Nikolai B. Melnikov, Boris I. Reser
    Pages 7-19
  4. Many-Electron Problem

    • Nikolai B. Melnikov, Boris I. Reser
    Pages 21-33
  5. Mean-Field Theory

    • Nikolai B. Melnikov, Boris I. Reser
    Pages 35-43
  6. Random-Phase Approximation

    • Nikolai B. Melnikov, Boris I. Reser
    Pages 45-57
  7. Green Functions at Finite Temperatures

    • Nikolai B. Melnikov, Boris I. Reser
    Pages 59-75
  8. Spin Fluctuation Theory in the Ising Model

    • Nikolai B. Melnikov, Boris I. Reser
    Pages 77-84
  9. Functional Integral Method

    • Nikolai B. Melnikov, Boris I. Reser
    Pages 85-99
  10. Gaussian Approximation

    • Nikolai B. Melnikov, Boris I. Reser
    Pages 101-108
  11. Single-Site Gaussian Approximation

    • Nikolai B. Melnikov, Boris I. Reser
    Pages 109-121
  12. High-Temperature Theory

    • Nikolai B. Melnikov, Boris I. Reser
    Pages 123-135
  13. Low-Temperature Theory

    • Nikolai B. Melnikov, Boris I. Reser
    Pages 137-147
  14. Temperature Dependence of Magnetic Characteristics

    • Nikolai B. Melnikov, Boris I. Reser
    Pages 149-169
  15. Neutron Scattering in Metals

    • Nikolai B. Melnikov, Boris I. Reser
    Pages 171-179
  16. Short-Range Order Above TC

    • Nikolai B. Melnikov, Boris I. Reser
    Pages 181-194
  17. Conclusion

    • Nikolai B. Melnikov, Boris I. Reser
    Pages 195-196
  18. Back Matter

    Pages 197-287

About this book

This book presents a theoretical framework for magnetism in ferromagnetic metals and alloys at finite temperatures. The objective of the book is twofold. First, it gives a detailed presentation of the dynamic spin-fluctuation theory that takes into account both local and long-wave spin fluctuations with any frequency. The authors provide a detailed explanation of the fundamental role of quantum spin fluctuations in the mechanism of metallic magnetism and illustrate the theory with concrete examples. The second objective of the book is to give an accurate and self-contained presentation of many-body techniques such as the functional integral method and Green's functions, via a number of worked examples. These computational methods are of great use to solid state physicists working in a range of specialties.

The book is intended primarily for researchers, but can also be used as textbook. The introductory chapters offer clear and complete derivations of the fundamentals, which makes the presentation self-contained. The main text is followed by a number of well-organized appendices that contain a detailed presentation of the necessary many-body techniques and computational methods. The book also includes a list of symbols and detailed index. This volume will be of interest to a wide range of physicists interested in magnetism and solid state physics in general, both theoreticians and experimentalists.

Authors and Affiliations

  • Moscow State University, Moscow, Russia

    Nikolai B. Melnikov

  • Institute of Metal Physics, Russian Academy of Sciences, Ekaterinburg, Russia

    Boris I. Reser

Bibliographic Information

Buy it now

Buying options

eBook USD 84.99
Price excludes VAT (USA)
  • Available as EPUB and PDF
  • Read on any device
  • Instant download
  • Own it forever
Hardcover Book USD 109.99
Price excludes VAT (USA)
  • Durable hardcover edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Other ways to access