Itinerant magnetic multipole moments of rank five, triakontadipoles, as the hidden order in URu${}_2$Si${}_2$

Abstract

A broken symmetry ground state without any magnetic moments has been calculated by means of local-density-approximation to density functional theory plus a local exchange term, the so-called LDA+$U$ approach, for URu${}_2$Si${}_2$. The solution is analysed in terms of a multipole tensor expansion of the itinerant density matrix and is found to be a non-trivial magnetic multipole. Analysis and further calculations show that this type of multipole enters naturally in time reversal breaking in presence of large effective spin-orbit coupling and co-exists with magnetic moments for most magnetic actinides

5 pages, 3 figures

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• Multipole decomposition of LDA+$U$ energy and its application to actinides compounds
• Competition between hidden order and antiferromagnetism in URu_2Si_2 under uniaxial stress studied by neutron scattering
• Orbital Polarization in Itinerant Magnets
• Exchange energy dominated by large orbital spin-currents in $\delta$-Pu

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