Small Energy Scale for Mixed-Valent Uranium Materials

Abstract

We investigate a two-channel Anderson impurity model with a $5f^1$ magnetic and a $5f^2$ quadrupolar ground doublet, and a $5f^2$ excited triplet. Using the numerical renormalization group method, we find a crossover to a non-Fermi liquid state below a temperature $T^{\ast }$ varying as the $5f^2$ triplet-doublet splitting to the 7/2 power. To within numerical accuracy, the non-linear magnetic susceptibility and the $5f^1$ contribution to the linear susceptibility are given by universal one-parameter scaling functions. These results may explain UBe${}_{13}$ as mixed valent with a small crossover scale $T^{\ast }$.

4 pages, 3 figures, REVTeX, to appear in Phys. Rev. Lett

References in corpus (2)

• Mixed-valent regime of the two-channel Anderson impurity as a model for UBe_13
• An Extended Anderson Model that shows Decreasing Resistivity with Decreasing Temperature

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• Solution of the Multi-Channel Anderson Impurity Model: Ground state and thermodynamics
• Prediction of the capacitance lineshape in two-channel quantum dots
• From ferromagnetism to spin-density wave: Magnetism in the two channel periodic Anderson model
• Emergent Electric Polarization by Kondo Effect in a Triangular Triple Quantum Dot
• Competition between Quadrupole and Magnetic Kondo Effects in Non-Kramers Doublet Systems
• Bosonization approach to the mixed-valence two-channel Kondo problem
• Proposal for a two-channel quantum dot setup: Prediction for the capacitance lineshape