Proposal for methods to measure the octupole susceptibility

Abstract

Direct means of measuring the susceptibility towards an octupole order parameter are proposed via a sixth-rank tensor property. Equivalent derivatives of more conventionally measured tensor properties, including elastic stiffness, magnetic susceptibility, and elastoresistivity, are written in full, as constrained by the symmetry of the experimentally-motivated $O_h$ point group. For simplicity, we consider the specific case of $P{r}^{3+}$ ions in a cubic point symmetry with a ${\Gamma }_3$ crystal field ground state, but the ideas are somewhat general. Experimental feasibility of measuring these various derivatives of tensor quantities is discussed.

References in corpus (5)

• Piezoelectric-based apparatus for strain tuning
• Unveiling Hidden Orders: Magnetostriction as a Probe of Multipolar-Ordered States
• Symmetry constraints on the elastoresistivity tensor
• Measurement of the $B_{1g}$ and $B_{2g}$ components of the elastoresistivity tensor for tetragonal materials via transverse resistivity configurations
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Cited by in corpus (7)

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• Octupolar order and Ising quantum criticality tuned by strain and dimensionality: Application to $d$-orbital Mott insulators
• Symmetry Analysis of Tensors in the Honeycomb Lattice of Edge-Sharing Octahedra
• Non-Fermi liquid behavior and quantum criticality in cubic heavy fermion systems with non-Kramers multipolar local moments
• Quantum impurity model for two-stage multipolar ordering and Fermi surface reconstruction
• Field-induced anomaly in the anisotropic non-Fermi-liquid normal state of UBe${}_{13}$