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The Resource Dynamic spin fluctuation theory of metallic magnetism, Nikolai B. Melnikov, Boris I. Reser

Dynamic spin fluctuation theory of metallic magnetism, Nikolai B. Melnikov, Boris I. Reser

Label
Dynamic spin fluctuation theory of metallic magnetism
Title
Dynamic spin fluctuation theory of metallic magnetism
Statement of responsibility
Nikolai B. Melnikov, Boris I. Reser
Creator
Contributor
Subject
Language
eng
Summary
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
http://library.link/vocab/creatorName
Melnikov, Nikolai B.,
Dewey number
538.44
Index
index present
Literary form
non fiction
Nature of contents
  • dictionaries
  • bibliography
http://library.link/vocab/relatedWorkOrContributorName
Reser, Boris I.,
http://library.link/vocab/subjectName
  • Ferromagnetism
  • Metals
Label
Dynamic spin fluctuation theory of metallic magnetism, Nikolai B. Melnikov, Boris I. Reser
Instantiates
Publication
Antecedent source
unknown
Bibliography note
Includes bibliographical references and index
Color
multicolored
Contents
  • Intro; Preface; Contents; List of Symbols; 1 Introduction; References; 2 Basics of Metallic Magnetism; 2.1 Magnetic Susceptibility: Macroscopic Approach; 2.1.1 Generalized Magnetic Susceptibility; 2.1.2 Symmetry Relations; 2.1.3 Dispersion Relations; 2.2 Magnetic Susceptibility: Microscopic Approach; 2.2.1 Magnetization and Spin; 2.2.2 Linear Response Theory; 2.2.3 Fluctuation-Dissipation Theorem; References; 3 Many-Electron Problem; 3.1 One-Electron States; 3.2 Many-Electron States; 3.3 Second Quantization; 3.3.1 General Theory; 3.3.2 Specific Operators; Charge Density
  • Spin Density: Wannier RepresentationSpin Density: Bloch Representation; Single-Site Spin; Hamiltonian; 3.4 Noninteracting Electrons; References; 4 Mean-Field Theory; 4.1 The Hubbard Model; 4.2 Stoner Mean-Field Theory; 4.2.1 Hartree-Fock Approximation; 4.2.2 Magnetization: The T2 Law; 4.2.3 Uniform Static Susceptibility; 4.3 Band Calculations in Metals; References; 5 Random-Phase Approximation; 5.1 Magnetic Susceptibilities; 5.1.1 Longitudinal Susceptibility; 5.1.2 Transverse Susceptibility; 5.2 Magnetic Excitations; 5.2.1 Spin-Density Waves; 5.2.2 Magnetization: The T3/2 Law
  • 5.2.3 Stoner Spin-Flip ExcitationsReferences; 6 Green Functions at Finite Temperatures; 6.1 Fermion-Type Green Functions; 6.1.1 Real-Time Green Function; General Properties; Equation of Motion; Spectral Function; 6.1.2 Temperature Green Function; Relation with Charge and Spin Density; Relation with the Real-Time Green Function; 6.2 Boson-Type Green Functions; 6.2.1 Dynamic Susceptibility; Longitudinal Susceptibility; Transverse Susceptibility; 6.2.2 Thermodynamic Susceptibility; Relation with the Spin Correlator; Relation with the Dynamic Susceptibility; Noninteracting Electrons
  • Summation RuleMeasurement and Calculation Methods; References; 7 Spin Fluctuation Theory in the Ising Model; 7.1 Spins in the Fluctuating Field; 7.2 Approximations of the Free Energy; 7.2.1 Quadratic Part of the Free Energy; 7.2.2 Higher-Order Terms of the Free Energy; 7.3 Local Fluctuating Field; 7.4 Magnetic Phase Diagrams; References; 8 Functional Integral Method; 8.1 Multiband Hubbard Hamiltonian; 8.1.1 Intraatomic Interaction and Hund's Rule; 8.1.2 Atomic Charge and Spin Density; 8.2 Functional Integral over Fluctuating Fields; 8.2.1 Thermodynamic ̀̀Time'' Dependence
  • 8.2.2 Electrons in the Fluctuating Field8.2.3 Charge Fluctuations; 8.3 Exact Relations; 8.3.1 Field-Dependent Thermodynamic Potential; 8.3.2 Mean Spin and Spin-Density Correlator; References; 9 Gaussian Approximation; 9.1 Motivation; 9.2 Saddle-Point Approximation; 9.3 Free Energy Minimum Principle; 9.4 Optimal Gaussian Approximation; 9.4.1 General Formulation; 9.4.2 Ferromagnetic State; 9.4.3 Self-Energy Equation; References; 10 Single-Site Gaussian Approximation; 10.1 Coherent Potential Equation; 10.2 Single-Site Gaussian Fluctuating Field; 10.3 Mean Single-Site Green Function
Control code
on1047729303
Dimensions
unknown
Extent
1 online resource
File format
unknown
Form of item
online
Isbn
9783319929743
Level of compression
unknown
Note
SpringerLink
Quality assurance targets
not applicable
Reformatting quality
unknown
Sound
unknown sound
Specific material designation
remote
System control number
(OCoLC)1047729303
Label
Dynamic spin fluctuation theory of metallic magnetism, Nikolai B. Melnikov, Boris I. Reser
Publication
Antecedent source
unknown
Bibliography note
Includes bibliographical references and index
Color
multicolored
Contents
  • Intro; Preface; Contents; List of Symbols; 1 Introduction; References; 2 Basics of Metallic Magnetism; 2.1 Magnetic Susceptibility: Macroscopic Approach; 2.1.1 Generalized Magnetic Susceptibility; 2.1.2 Symmetry Relations; 2.1.3 Dispersion Relations; 2.2 Magnetic Susceptibility: Microscopic Approach; 2.2.1 Magnetization and Spin; 2.2.2 Linear Response Theory; 2.2.3 Fluctuation-Dissipation Theorem; References; 3 Many-Electron Problem; 3.1 One-Electron States; 3.2 Many-Electron States; 3.3 Second Quantization; 3.3.1 General Theory; 3.3.2 Specific Operators; Charge Density
  • Spin Density: Wannier RepresentationSpin Density: Bloch Representation; Single-Site Spin; Hamiltonian; 3.4 Noninteracting Electrons; References; 4 Mean-Field Theory; 4.1 The Hubbard Model; 4.2 Stoner Mean-Field Theory; 4.2.1 Hartree-Fock Approximation; 4.2.2 Magnetization: The T2 Law; 4.2.3 Uniform Static Susceptibility; 4.3 Band Calculations in Metals; References; 5 Random-Phase Approximation; 5.1 Magnetic Susceptibilities; 5.1.1 Longitudinal Susceptibility; 5.1.2 Transverse Susceptibility; 5.2 Magnetic Excitations; 5.2.1 Spin-Density Waves; 5.2.2 Magnetization: The T3/2 Law
  • 5.2.3 Stoner Spin-Flip ExcitationsReferences; 6 Green Functions at Finite Temperatures; 6.1 Fermion-Type Green Functions; 6.1.1 Real-Time Green Function; General Properties; Equation of Motion; Spectral Function; 6.1.2 Temperature Green Function; Relation with Charge and Spin Density; Relation with the Real-Time Green Function; 6.2 Boson-Type Green Functions; 6.2.1 Dynamic Susceptibility; Longitudinal Susceptibility; Transverse Susceptibility; 6.2.2 Thermodynamic Susceptibility; Relation with the Spin Correlator; Relation with the Dynamic Susceptibility; Noninteracting Electrons
  • Summation RuleMeasurement and Calculation Methods; References; 7 Spin Fluctuation Theory in the Ising Model; 7.1 Spins in the Fluctuating Field; 7.2 Approximations of the Free Energy; 7.2.1 Quadratic Part of the Free Energy; 7.2.2 Higher-Order Terms of the Free Energy; 7.3 Local Fluctuating Field; 7.4 Magnetic Phase Diagrams; References; 8 Functional Integral Method; 8.1 Multiband Hubbard Hamiltonian; 8.1.1 Intraatomic Interaction and Hund's Rule; 8.1.2 Atomic Charge and Spin Density; 8.2 Functional Integral over Fluctuating Fields; 8.2.1 Thermodynamic ̀̀Time'' Dependence
  • 8.2.2 Electrons in the Fluctuating Field8.2.3 Charge Fluctuations; 8.3 Exact Relations; 8.3.1 Field-Dependent Thermodynamic Potential; 8.3.2 Mean Spin and Spin-Density Correlator; References; 9 Gaussian Approximation; 9.1 Motivation; 9.2 Saddle-Point Approximation; 9.3 Free Energy Minimum Principle; 9.4 Optimal Gaussian Approximation; 9.4.1 General Formulation; 9.4.2 Ferromagnetic State; 9.4.3 Self-Energy Equation; References; 10 Single-Site Gaussian Approximation; 10.1 Coherent Potential Equation; 10.2 Single-Site Gaussian Fluctuating Field; 10.3 Mean Single-Site Green Function
Control code
on1047729303
Dimensions
unknown
Extent
1 online resource
File format
unknown
Form of item
online
Isbn
9783319929743
Level of compression
unknown
Note
SpringerLink
Quality assurance targets
not applicable
Reformatting quality
unknown
Sound
unknown sound
Specific material designation
remote
System control number
(OCoLC)1047729303

Library Locations

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