Kondo scale

Fig. 2. Temperature dependence of the 4f-electron density of states in NCA. The density of states is normalized by Tcd. The Kondo scale is in this case 100 times smaller than the hybridization width A (Bickers et al. 1987).

T, Wilson Kondo scale of the PAM E-point Brillouin zone center... 

The thermodynamics of the system, especially the local susceptibility, allows the study of the Kondo screening and identifies the relevant energy scales. The Kondo scales are obtained by extrapolating Ximp( —>0) = I/Tq, where Ximp( is the additional local susceptibility due to the introduction of the effective impurity into a host of d electrons. As shown in fig. 6, at the symmetric limit (/if =/id = 1) the Kondo scale for the PAM To is strongly enhanced compared to Tq , the Kondo scale for a SIM with tiie same model parameters. This behavior has been observed before (Rice and Ueda 1986, Jarrell... 

However, far from the symmetric limit the Kondo scale for the PAM is strongly... 

Fig. 13. Near-Fenni-energy structure of the hybridization function for the asymmetric PAM. The model parameters are 17 = 1.5, F = 0.6 and n, = 1. The dip at the Fermi energy denotes a decrease in the number of states available for screening, leading to a suppressed coherence Kondo scale T. The zero ten erature hybridization for the single-impurity Anderson model is shown for comparison.

Perhaps the most unusual feature of the band dispersion shown in fig. 12 is the presence of a weakly-dispersive f quasiparticle band as much as 0.3above the Fermi energy. The quasiparticle bands which form due to Kondo screening are expected to lie within about Tq of the Fermi surface (Martin and Allen 1979). The presence of a screening band this far Irom the Fermi surface would seem to correspond to a significantly larger f-d hybridization than that which is required to form a small Kondo scale Tq. To study this apparent inconsistency one introduces an effective hybridization strength r((o). 

I. Shoji, T. Kondo, A. Kitamoto, M. Shirane, and R. Ito, Absolute scale of second-order nonlinear-optical coefficients, Journal of the Optical Society of America B 14(9), 2268-2294 (1997). 

Morigami, Y., Kondo, M., Abe, J., Kita, H., and Okamoto, K. (2001) The first large-scale pervaporation plant using tubular-type module with zeolite NaA membrane separ. Purif. Tech., 25, 251-260. 

Sugiura, H., Yunoki, S., Kondo, E., Ikoma, T., Tanaka, J., and Yasuda, K. (2009). In vivo biological responses and bioresorption of tilapia scale collagen as a potential biomaterial. ]. Biomater. Sci. Polym. Ed. 20,1353-1368. 

Relation (39) determines a low-energy scale for the spectral density of d-electrons, which is of the order of the Kondo temperature kl x for PAM. Because this scale results from the interaction with spin fluctuations of localized moments we also study the spin susceptibility of d-electrons. 

Fujita M, Iwamoto J, Kondo M, et al. 1969a. Correlation between ingestion, accumulation and excretion of fallout 90Sr in man on a long-term scale. Health Phys 17 41-50. 

Fig. 3.30. Phase diagram of the U(Pt1 Pd l)3 system. Tc ( ) and TN (o) as a function of Pd concentration up to 10 at.% of Pd. S indicates the superconducting phase, AF the antiferromagnetic phase, K the Kondo regime, and SF the spin-fluctuation region which persists into the AF region. The arrows indicate the sign of the increasing pressure effect on C> 7sF> and 7V Note the expanded scale for Pd concentrations below 0.5 at.% (Franse et al. 1987a).

This spectral density has a characteristic low-frequency behavior J((o) — rjo), where rj is the usual ohmic viscosity. The system-bath coupling strength can then be measured in terms of the dimensionless Kondo parameter K, and time scale of bath motions is described by a cutoff frequency (o. For many problems in low-temperature physics, this cutoff frequency is taken to be the largest frequency scale in the problem. In the case of electron transfer, the same spectral density with some intermediate value for is most appropriate for a realistic description of... 

Watanabe, T., M. Asai, T. Kondo, Shimizu, M., Takeuchi, Y., Aramaki, H., and M. Naito. 1996. An advanced fluidized- bed swirl incinerator for dioxin control during municipal waste disposal. Chemosphere 32(1) 177-87 Waterland, L. R., R. W. Ross n, T. H. Backhouse, R. H. Voeque, J. W. Lee, and R. E. Mourni-ghan. 1987. Pilot-scale incineration of a dioxin-containing material. U.S. EPA Res. Rep., EPA/600/9-87/018F cited in Chem. Abstr. CA 109( .) 60900X. 

Fig. 157. Comparison of the temperature dependenee of experimental values of (solid symbob) and Fq (open symbob) for YbAuCu, with model caleulations. Left Predictions based on the Korringa interaction (k-f exchange) only with a coupling strength of yy/i(E p) = 0.37 (solid and broken lines). Cubic CEF splitting is taken into account. Right Predictions of the NCA formalism of Kondo interaction with a Rondo scale of 20 K and cubic symmetry for the Yb site (solid and broken lines). The dash-dotted and the dotted lines assume a trigonal distortion of the Yb site due to the presence of a stopped p with a term of -1.75 and -2.35, respectively. The muon-4f coupling constant was set to 208 MHz in all cases corresponding to the calculated value for the 4d interstitial stopping site. After Bonville et al. (1996).

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