Electron Correlation in Metals by K. Yamada

By K. Yamada

Physics monograph on very important subject in condensed subject physics.

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17), the spin polarization σ (r ) of conduction electrons due to the exchange interaction with the localized spin damps as (2kFr )−3 , oscillating in cos(2kFr ). 10) at q = 2kF . This oscillation is called the RKY (Ruderman–Kittel–Yosida) oscillation [3]. 15). It is given by R σ (r )4πr 2 dr = 0 2J sin 2kF R Sz χPauli 1 − . 19) show that the spin polarization induced by the local perturbation due to the localized spin is localized around the localized spin; even in the order of 1/N , the polarization does not extend over the infinitely long-range region.

15). It is given by R σ (r )4πr 2 dr = 0 2J sin 2kF R Sz χPauli 1 − . 19) show that the spin polarization induced by the local perturbation due to the localized spin is localized around the localized spin; even in the order of 1/N , the polarization does not extend over the infinitely long-range region. The 1/r 3 dependence of the spin polarization in the conduction electrons can be observed by the nuclear magnetic resonance at the Cu nuclei; the width and asymmetry of the resonance peak appear owing to σ (r ), which depends on the distance from the Mn atoms.

As the energy scale of the charged particle, we can take the frequency ω0 of the oscillating motion or the energy level splitting h¯ ω0 (E j − E i ) in the potential well. On the other hand, the electron–hole pair excitation possessing energy smaller than h¯ ω0 cannot follow the motion of the particle and behaves in a non-adiabatic way. The important role of the non-adiabatic effect was stressed by J. Kondo [7]. The interaction between the charged particle R, possessing a charge Z (< 1) reduced by an adiabatically accompanying electron cloud, and the conduction electron cloud r following the particle non-adiabatically is written here as V (r , R), and the Hamiltonian H for the total system is written as H = HM + He + V (r , R).

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