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Ruderman, Kittel, Kasuya, Yosida

Here we have in mind such materials as EuS with a comparatively high concentration of Gd atoms to give a degenerate electron gas, and a large number of metallic transitional-metal compounds where ions of mixed valence exist (in the latter there may be uncertainty about whether the electrons are in a conduction (4s) band or the upper Hubbard band described in Chapter 4). In such a case a new interaction term arises between the moments which is via the conduction electrons. This is the so-called RKKY (Ruderman-Kittel-Kasuya-Yosida) interaction, which is an oscillating function of distance (Ruderman and Kittel 1954, Kasuya 1956, Yosida 1957 for a detailed description see Elliott 1965). This derives from the formulae of Chapter 1, Section 5. Consider an atom with magnetic moment in a given direction then the wave functions of conduction electrons with spin up and with spin down will vary with distance in different ways, so that... [Pg.96]

A simple and asymptotically correct [26-28] model is the Ruderman-Kittel-Kasuya-Yosida or RKKY exchange between two localized moments in a Pauli-paramagnetic matrix. For a free-electron gas of wave-vector kF,... [Pg.45]

Joint density of states Ruderman-Kittel-Kasuya-Yosida coupling energy the Fourier transform of /(Jf) with wave vector q. amplitude of wave vector, or imaginary part of index of refraction... [Pg.234]

RKKY Ruderman-Kittel-Kasuya-Yosida w. bandwidth... [Pg.145]

S. S. P. Parkin, D. Mauri Spin engineering Direct determination of the Ruderman-Kittel-Kasuya-Yosida far-field range function in ruthenium, Phys. Rev. B lA, 7131 (1991)... [Pg.1069]

INS Inelastic neutron scattering RKJCY Ruderman-Kittel Kasuya-Yosida... [Pg.492]

The incompletely filled 4f-shell confers a magnetic moment to the lanthanide ions and it is the Ruderman-Kittel-Kasuya-Yosida (RKKY) mechanism via polarization of the conduction electrons which is responsible for the occurrence of long-range ordered magnetic structures in the lanthanide metals. Details can be foimd in numerous reviews, among others in vol. 1, chs. 3, 6 and 7 (1978) of this Handbook series and a recent one by Jensen and Mackintosh (1991). The addition of hydrogen, both in solution or resulting in hydride formation, leads to a decrease of the conduction electron density e (cf. sect. 5)... [Pg.266]

RKKY (Ruderman, Kittel, Kasuya, Yosida) exchange interaction... [Pg.414]


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Coupling Ruderman-Kittel-Kasuya-Yosida

Ruderman-Kittel-Kasuya-Yosida interaction

Ruderman-Kittel-Kasuya-Yosida interaction RKKY)

Ruderman-Kittel-Kasuya-Yosida mechanism

Yosida

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