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
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The item Dynamic spin fluctuation theory of metallic magnetism, Nikolai B. Melnikov, Boris I. Reser represents a specific, individual, material embodiment of a distinct intellectual or artistic creation found in Massey University Library, University of New Zealand.This item is available to borrow from 1 library branch.
Resource Information
The item Dynamic spin fluctuation theory of metallic magnetism, Nikolai B. Melnikov, Boris I. Reser represents a specific, individual, material embodiment of a distinct intellectual or artistic creation found in Massey University Library, University of New Zealand.
This item is available to borrow from 1 library branch.
 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 spinfluctuation theory that takes into account both local and longwave 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 selfcontained presentation of manybody 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 selfcontained. The main text is followed by a number of wellorganized appendices that contain a detailed presentation of the necessary manybody 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
 Language
 eng
 Extent
 1 online resource
 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 FluctuationDissipation Theorem; References; 3 ManyElectron Problem; 3.1 OneElectron States; 3.2 ManyElectron States; 3.3 Second Quantization; 3.3.1 General Theory; 3.3.2 Specific Operators; Charge Density
 Spin Density: Wannier RepresentationSpin Density: Bloch Representation; SingleSite Spin; Hamiltonian; 3.4 Noninteracting Electrons; References; 4 MeanField Theory; 4.1 The Hubbard Model; 4.2 Stoner MeanField Theory; 4.2.1 HartreeFock Approximation; 4.2.2 Magnetization: The T2 Law; 4.2.3 Uniform Static Susceptibility; 4.3 Band Calculations in Metals; References; 5 RandomPhase Approximation; 5.1 Magnetic Susceptibilities; 5.1.1 Longitudinal Susceptibility; 5.1.2 Transverse Susceptibility; 5.2 Magnetic Excitations; 5.2.1 SpinDensity Waves; 5.2.2 Magnetization: The T3/2 Law
 5.2.3 Stoner SpinFlip ExcitationsReferences; 6 Green Functions at Finite Temperatures; 6.1 FermionType Green Functions; 6.1.1 RealTime Green Function; General Properties; Equation of Motion; Spectral Function; 6.1.2 Temperature Green Function; Relation with Charge and Spin Density; Relation with the RealTime Green Function; 6.2 BosonType 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 HigherOrder 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 FieldDependent Thermodynamic Potential; 8.3.2 Mean Spin and SpinDensity Correlator; References; 9 Gaussian Approximation; 9.1 Motivation; 9.2 SaddlePoint 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 SelfEnergy Equation; References; 10 SingleSite Gaussian Approximation; 10.1 Coherent Potential Equation; 10.2 SingleSite Gaussian Fluctuating Field; 10.3 Mean SingleSite Green Function
 Isbn
 9783319929743
 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
 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 spinfluctuation theory that takes into account both local and longwave 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 selfcontained presentation of manybody 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 selfcontained. The main text is followed by a number of wellorganized appendices that contain a detailed presentation of the necessary manybody 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
 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 FluctuationDissipation Theorem; References; 3 ManyElectron Problem; 3.1 OneElectron States; 3.2 ManyElectron States; 3.3 Second Quantization; 3.3.1 General Theory; 3.3.2 Specific Operators; Charge Density
 Spin Density: Wannier RepresentationSpin Density: Bloch Representation; SingleSite Spin; Hamiltonian; 3.4 Noninteracting Electrons; References; 4 MeanField Theory; 4.1 The Hubbard Model; 4.2 Stoner MeanField Theory; 4.2.1 HartreeFock Approximation; 4.2.2 Magnetization: The T2 Law; 4.2.3 Uniform Static Susceptibility; 4.3 Band Calculations in Metals; References; 5 RandomPhase Approximation; 5.1 Magnetic Susceptibilities; 5.1.1 Longitudinal Susceptibility; 5.1.2 Transverse Susceptibility; 5.2 Magnetic Excitations; 5.2.1 SpinDensity Waves; 5.2.2 Magnetization: The T3/2 Law
 5.2.3 Stoner SpinFlip ExcitationsReferences; 6 Green Functions at Finite Temperatures; 6.1 FermionType Green Functions; 6.1.1 RealTime Green Function; General Properties; Equation of Motion; Spectral Function; 6.1.2 Temperature Green Function; Relation with Charge and Spin Density; Relation with the RealTime Green Function; 6.2 BosonType 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 HigherOrder 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 FieldDependent Thermodynamic Potential; 8.3.2 Mean Spin and SpinDensity Correlator; References; 9 Gaussian Approximation; 9.1 Motivation; 9.2 SaddlePoint 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 SelfEnergy Equation; References; 10 SingleSite Gaussian Approximation; 10.1 Coherent Potential Equation; 10.2 SingleSite Gaussian Fluctuating Field; 10.3 Mean SingleSite 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
 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 FluctuationDissipation Theorem; References; 3 ManyElectron Problem; 3.1 OneElectron States; 3.2 ManyElectron States; 3.3 Second Quantization; 3.3.1 General Theory; 3.3.2 Specific Operators; Charge Density
 Spin Density: Wannier RepresentationSpin Density: Bloch Representation; SingleSite Spin; Hamiltonian; 3.4 Noninteracting Electrons; References; 4 MeanField Theory; 4.1 The Hubbard Model; 4.2 Stoner MeanField Theory; 4.2.1 HartreeFock Approximation; 4.2.2 Magnetization: The T2 Law; 4.2.3 Uniform Static Susceptibility; 4.3 Band Calculations in Metals; References; 5 RandomPhase Approximation; 5.1 Magnetic Susceptibilities; 5.1.1 Longitudinal Susceptibility; 5.1.2 Transverse Susceptibility; 5.2 Magnetic Excitations; 5.2.1 SpinDensity Waves; 5.2.2 Magnetization: The T3/2 Law
 5.2.3 Stoner SpinFlip ExcitationsReferences; 6 Green Functions at Finite Temperatures; 6.1 FermionType Green Functions; 6.1.1 RealTime Green Function; General Properties; Equation of Motion; Spectral Function; 6.1.2 Temperature Green Function; Relation with Charge and Spin Density; Relation with the RealTime Green Function; 6.2 BosonType 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 HigherOrder 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 FieldDependent Thermodynamic Potential; 8.3.2 Mean Spin and SpinDensity Correlator; References; 9 Gaussian Approximation; 9.1 Motivation; 9.2 SaddlePoint 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 SelfEnergy Equation; References; 10 SingleSite Gaussian Approximation; 10.1 Coherent Potential Equation; 10.2 SingleSite Gaussian Fluctuating Field; 10.3 Mean SingleSite 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
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