Titlebook: Dynamic Spin-Fluctuation Theory of Metallic Magnetism; Nikolai B. Melnikov,Boris I. Reser Book 2018 Springer International Publishing AG,

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Basics of Metallic Magnetism,This chapter gives a brief introduction to magnetism of metals and is designed in such a way as to make the book self-contained. We begin with basic topics and elements of the phenomenological theory.

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Many-Electron Problem,In this chapter we summarize the essentials of quantum mechanics and statistical mechanics that are used later in the book. First, we recall the necessary facts about one-electron problem in a periodic crystal lattice.

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Random-Phase Approximation,The random-phase approximation (RPA)has been widely used for studying linear responses to external perturbations and describing elementary excitations.

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Green Functions at Finite Temperatures,The Green functions is an indispensable tool for studying interacting particles. The usefulness of the Green functions will be shown in the succeeding chapters. Here we give a brief self-contained introduction to the Green functions, their basic properties and applications.

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Spin Fluctuation Theory in the Ising Model,Here we illustrate spin fluctuation theory in the example of the Ising model, where spins are treated classically and the free energy has a simple analytic form. In spin fluctuation theory, we replace the pair interaction by the interaction of spins with a fluctuating exchange field.

Meditative

Functional Integral Method,To go beyond the RPA in spin fluctuation theory we use the functional integral method. The method is based on the Stratonovich-Hubbard transformation, which requires a special form of the model Hamiltonian.

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Single-Site Gaussian Approximation,The starting point of SFT is the Hubbard Hamiltonian, which relies on the assumption that the electron–electron interaction is local. Therefore, it seemed quite logical at the beginning to assume that the local spin fluctuations dominate.

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High-Temperature Theory,As we showed in the previous chapter, the DSFT gives good agreement with experiment over a wide temperature range, which includes room temperatures. In this chapter, we demonstrate that at high temperatures, the temperature dependence of magnetic characteristics in the DSFT can become unstable and even discontinuous (first-order-like).