Calculation of Effective Coulomb Interaction for $Pr^{3+}$, $U^{4+}$, and $UPt_3$

Details Calculation of Effective Coulomb Interaction for $Pr^{3+}$, $U^{4+}$, and $UPt_3$ Calculation of Effective Coulomb Interaction for $Pr^{3+}$, $U^{4+}$, and $UPt_3$

1995-01-23

arxiv.org/abs/cond-mat/9501111v1

Phys Rev B 52, 1421 (1995)

Physics

Condensed Matter

8 pages, revtex, 3 uuencoded postscript figures

Scientific paper

10.1103/PhysRevB.52.1421

In this paper, the Slater integrals for a screened Coulomb interaction of the the Yukawa form are calculated and by fitting the Thomas-Fermi wavevector, good agreement is obtained with experiment for the multiplet spectra of $Pr^{3+}$ and $U^{4+}$ ions. Moreover, a predicted multiplet spectrum for the heavy fermion superconductor $UPt_3$ is shown with a calculated Coulomb U of 1.6 eV. These effective Coulomb interactions, which are quite simple to calculate, should be useful inputs to further many-body calculations in correlated electron metals.

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