000845470 000__ 06153cam\a2200529Ii\4500 000845470 001__ 845470 000845470 005__ 20230306144852.0 000845470 006__ m\\\\\o\\d\\\\\\\\ 000845470 007__ cr\cn\nnnunnun 000845470 008__ 180806s2018\\\\sz\\\\\\ob\\\\001\0\eng\d 000845470 019__ $$a1048098555$$a1048390755$$a1050515142 000845470 020__ $$a9783319929743$$q(electronic book) 000845470 020__ $$a3319929747$$q(electronic book) 000845470 020__ $$z9783319929729 000845470 020__ $$z3319929720 000845470 0247_ $$a10.1007/978-3-319-92974-3$$2doi 000845470 035__ $$aSP(OCoLC)on1047729303 000845470 035__ $$aSP(OCoLC)1047729303$$z(OCoLC)1048098555$$z(OCoLC)1048390755$$z(OCoLC)1050515142 000845470 040__ $$aN$T$$beng$$erda$$epn$$cN$T$$dN$T$$dYDX$$dGW5XE$$dEBLCP$$dUPM$$dOCLCF$$dUAB 000845470 049__ $$aISEA 000845470 050_4 $$aQC761.5 000845470 08204 $$a538.44$$223 000845470 1001_ $$aMelnikov, Nikolai B.,$$eauthor. 000845470 24510 $$aDynamic spin fluctuation theory of metallic magnetism /$$cNikolai B. Melnikov, Boris I. Reser. 000845470 264_1 $$aCham, Switzerland :$$bSpringer,$$c[2018] 000845470 300__ $$a1 online resource. 000845470 336__ $$atext$$btxt$$2rdacontent 000845470 337__ $$acomputer$$bc$$2rdamedia 000845470 338__ $$aonline resource$$bcr$$2rdacarrier 000845470 347__ $$atext file$$bPDF$$2rda 000845470 504__ $$aIncludes bibliographical references and index. 000845470 5050_ $$aIntro; 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 000845470 5058_ $$aSpin Density: Wannier RepresentationSpin Density: Bloch Representation; Single-Site Spin; Hamiltonian; 3.4 Noninteracting Electrons; References; 4 Mean-Field Theory; 4.1 The Hubbard Model; 4.2 Stoner Mean-Field Theory; 4.2.1 Hartree-Fock Approximation; 4.2.2 Magnetization: The T2 Law; 4.2.3 Uniform Static Susceptibility; 4.3 Band Calculations in Metals; References; 5 Random-Phase Approximation; 5.1 Magnetic Susceptibilities; 5.1.1 Longitudinal Susceptibility; 5.1.2 Transverse Susceptibility; 5.2 Magnetic Excitations; 5.2.1 Spin-Density Waves; 5.2.2 Magnetization: The T3/2 Law 000845470 5058_ $$a5.2.3 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 000845470 5058_ $$aSummation RuleMeasurement and Calculation Methods; References; 7 Spin Fluctuation Theory in the Ising Model; 7.1 Spins in the Fluctuating Field; 7.2 Approximations of the Free Energy; 7.2.1 Quadratic Part of the Free Energy; 7.2.2 Higher-Order Terms of the Free Energy; 7.3 Local Fluctuating Field; 7.4 Magnetic Phase Diagrams; References; 8 Functional Integral Method; 8.1 Multiband Hubbard Hamiltonian; 8.1.1 Intraatomic Interaction and Hund's Rule; 8.1.2 Atomic Charge and Spin Density; 8.2 Functional Integral over Fluctuating Fields; 8.2.1 Thermodynamic ``Time'' Dependence 000845470 5058_ $$a8.2.2 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 000845470 506__ $$aAccess limited to authorized users. 000845470 520__ $$aThis 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. 000845470 588__ $$aOnline resource; title from PDF title page (viewed August 7, 2018). 000845470 650_0 $$aFerromagnetism. 000845470 650_0 $$aMetals$$xMagnetic properties. 000845470 7001_ $$aReser, Boris I.,$$eauthor. 000845470 77608 $$iPrint version: $$z3319929720$$z9783319929729$$w(OCoLC)1034576884 000845470 852__ $$bebk 000845470 85640 $$3SpringerLink$$uhttps://univsouthin.idm.oclc.org/login?url=http://link.springer.com/10.1007/978-3-319-92974-3$$zOnline Access$$91397441.1 000845470 909CO $$ooai:library.usi.edu:845470$$pGLOBAL_SET 000845470 980__ $$aEBOOK 000845470 980__ $$aBIB 000845470 982__ $$aEbook 000845470 983__ $$aOnline 000845470 994__ $$a92$$bISE