Abstract
The Kondo insulators are band insulators with strong electron correlation. Their properties are uncovered especially by application of a strong magnetic field. Their electronic structures are described by the dynamical mean-field theory or the self-consistent second-order perturbation theory under the field, and a mechanism for the field-induced insulator-to-metal transition recently discovered for YbB 12 is clarified. Special interest will be placed on the first-order transition found experimentally, the mechanism for which is analyzed by investigating the competition between the Zeeman and the Kondo effects on the energy gap, and by calculating the energy versus magnetization curves. Magnetic anisotropy will be discussed in terms of a single-ion model under crystalline field.
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