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Determination of the Kondo temperature from the curves of magnetic susceptibility on a non-Fermi liquid regime

Metallic alloys can have magnetic atoms surrounded by several others non-magnetic. The first are so few that there is no interaction between them. The second are predominant and they form a metallic conduction band. In these alloys the occurrence of a phenomenon known as Kondo effect is common. It is the coupling of the spin of the magnetic atom and the spins of electrons in the conduction band. This phenomenon, at low temperatures, is perceptible in properties such as magnetic susceptibility, electronic specific heat, electrical resistivity, etc., and it is characterized by a parameter denominated Kondo temperature. The value of this parameter indicates the temperature range in which the Kondo effect becomes significant. Its determination is important for the understanding of metallic compounds in low temperature, such as Ce0.5La0.5Ni9Ge4,URu2Si2, etc. Krishna-murthy et al, through perturbative calculations of Anderson model for dilute magnetic alloys, proposed a table of magnetic susceptibility data from which it is possible to determine the Kondo temperature for physical systems in the Fermi liquid regime. In this article we reproduced this procedure by using numerical regression to adjust a type of non-linear equation to the data of this table. Next, we determined the Kondo Temperature of a two-channel Anderson model in non-Fermi liquid regime. We confirmed that the numerical method proposed by Krishna-murthy et al is valid for both regimes.

Kondo effect; Kondo temperature; magnetic susceptibility; numerical regression


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