Abstract
In these lectures we want to consider metallic systems with well localized magnetic moments. In particular we are interested in effects which are caused by the crystalline electric field (CEF) prevailing at the locations of the moments. Such a field is set up by the surroundings of the ion containing the local moment and it acts on the orbital parts of the wave function describing the moment. When it is larger than the spinorbit coupling it leads to a quenching of the orbital moment (transition metal ions), but when the spinorbit coupling is larger (rare earth ions) the CEF leads to lifting of the ground state degeneracy (Stark splitting). It is the coupling of these CEF split energy levels with conduction electrons and phonons which leads to a large number of interesting effects.
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