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Thermodynamic scaling theory for the two-impurity Anderson model

Jayaprakash, C and Krishna-murthy, HR and Wilkins, JW (1982) Thermodynamic scaling theory for the two-impurity Anderson model. In: Journal of Applied Physics, 53 (3). pp. 2142-2144.

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We present results of a study of the two-impurity Anderson model using a thermodynamic scaling theory developed recently. The model is characterized by the Coulomb energy U, the orbital energy epsilond, the d-level width Gamma, and the separation between impurities R. If Gamma<<−epsilond<<U, the low-temperature physics maps onto that of the two-impurity Kondo problem, discussed by us elsewhere; the main difference is that the RKKY interaction can acquire an antiferromagnetic contribution with a (kFR)−2 envelope over a restricted range of kFR. In this case impurity-impurity interactions can be substantial. The other interesting case is when the impurities have a ''fluctuating valence'' with the singlet lying lower in energy, i.e., epsilond>~Gamma. Here we find that the single-impurity physics dominates the low-temperature behavior, and impurity-impurity interactions are perturbative. The qualitative features of the temperature-dependent susceptibility are discussed. Journal of Applied Physics is copyrighted by The American Institute of Physics.

Item Type: Journal Article
Publication: Journal of Applied Physics
Publisher: American Institute of Physics
Additional Information: Copyright of this article belongs to American Institute of Physics.
Department/Centre: Division of Physical & Mathematical Sciences > Physics
Date Deposited: 30 Dec 2009 07:00
Last Modified: 19 Sep 2010 05:42
URI: http://eprints.iisc.ac.in/id/eprint/22473

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