Hexadecapolar Kondo effect in URu${}_2$Si${}_2$?

Abstract

We derive the coupling of a localized hexadecapolar mode to conduction electrons in tetragonal symmetry. The derivation can be easily adapted to arbitrary multipoles in arbitrary environment. We relate our model to the two-channel Kondo (2CK) model and show that for an $f^2$-configuration, a relevant crystal field splitting in addition to the 2CK interaction is intrinsic to tetragonal symmetry. We discuss possible realizations of a hexadecapolar Kondo effect in URu${}_2$Si${}_2$. Solving our model we find good agreement with susceptibility and specific heat measurements in Th${}_{1-x}$U${}_x$Ru${}_2$Si${}_2$ ($x\ll 1$).

4+ pages and 1 page of supplementary material

References in corpus (5)

• Rotational Symmetry Breaking in the Hidden-Order Phase of URu2Si2
• Density matrix numerical renormalization group for non-Abelian symmetries
• On the Hidden Order in URu${}_2$Si${}_2$ --- Antiferro Hexadecapole Order and its Consequences
• Theory of inelastic scattering from quantum impurities
• Magnetization, Maxwell's Relations and the Local Physics of the Dilute System Th_{1-x}U_{x}Ru_{2}Si_{2}

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