Calculations of the Knight Shift Anomalies in Heavy Electron Materials

Details Calculations of the Knight Shift Anomalies in Heavy Electron Materials Calculations of the Knight Shift Anomalies in Heavy Electron Materials

1997-06-11

arxiv.org/abs/cond-mat/9706113v2

Physics

Condensed Matter

Strongly Correlated Electrons

31 pages of RevTex, 22 Postscript figures, submmitted to PRB, some figures are deleted

Scientific paper

10.1103/PhysRevB.58.3313

We have studied the Knight shift $K(\vec r, T)$ and magnetic susceptibility $\chi(T)$ of heavy electron materials, modeled by the infinite U Anderson model with the NCA method. A systematic study of $K(\vec r, T)$ and $\chi(T)$ for different Kondo temperatures $T_0$ (which depends on the hybridization width $\Gamma$) shows a low temperature anomaly (nonlinear relation between $K$ and $\chi$) which increases as the Kondo temperature $T_0$ and distance $r$ increase. We carried out an incoherent lattice sum by adding the $K(\vec r)$ of a few hundred shells of rare earth atoms around a nucleus and compare the numerically calculated results with the experimental results. For CeSn_3, which is a concentrated heavy electron material, both the ^{119}Sn NMR Knight shift and positive muon Knight shift are studied. Also, lattice coherence effects by conduction electron scattering at every rare earth site are included using the average-T matrix approximation. Also NMR Knight shifts for YbCuAl and the proposed quadrupolar Kondo alloy Y_{0.8}U_{0.2}Pd_{3} are studied.

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