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Anderson models, based on quantum chemical studies of the molecule ofU(C_8H_8)_2, are applied to investigate the problem of an U impurity in ametal. The special point here is that the U 5f-orbitals are divided into twosubsets: an almost completely localized set and a considerably delocalized one.Due to the crystal field, both localized and delocalized U 5f-orbitals affectthe low-energy physics. A numerical renormalization group study shows thatevery fixed point is characterized by a residual local spin and a phase shift.The latter changes between 0 and \pi/2, which indicates the competition betweentwo different fixed points. Such a competition between the different localspins at the fixed points reflects itself in the impurity magneticsusceptibility at high temperatures. These different features cannot beobtained if the special characters of U 5f-orbitals are neglected.Comment: 4 pages, REVTeX, email to mkoga@rumi.ucdavis.ed

physical review. b, condensed matter

Orbital localization and delocalization effects in the U<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mrow><mml:msup><mml:mrow><mml:mn>5</mml:mn><mml:mi>f</mml:mi></mml:mrow><mml:mrow><mml:mn>2</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math>configuration: Impurity problem

Orbital localization and delocalization effects in the U5f2configuration: Impurity problem