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Condensed Matter > Strongly Correlated Electrons
Title: Symmetry Analysis of Tensors in the Honeycomb Lattice of Edge-Sharing Octahedra
(Submitted on 21 Dec 2020 (v1), last revised 29 Mar 2021 (this version, v2))
Abstract: We obtain the most general forms of rank-2 and rank-3 tensors allowed by the crystal symmetries of the honeycomb lattice of edge-sharing octahedra for crystals belonging to different crystallographic point groups, including the monoclinic point group $2/m$ and the trigonal (or rhombohedral) point group $\bar{3}$. Our results are relevant for two-dimensional materials, such as $\alpha$-RuCl$_3$, CrI$_3$, and the honeycomb iridates. We focus on the magnetic-field-dependent thermal conductivity tensor $\kappa_{ij}(\mathbf{H})$, which describes a system's longitudinal and thermal Hall responses, for the cases when the magnetic field is applied along high-symmetry directions, perpendicular to the plane and in the plane. We highlight some unexpected results, such as the equality of fully-longitudinal components to partially-transverse components in rank-3 tensors for systems with three-fold rotational symmetry, and make testable predictions for the thermal conductivity tensor.
Submission history
From: Franz Utermohlen [view email][v1] Mon, 21 Dec 2020 19:00:00 GMT (3517kb,D)
[v2] Mon, 29 Mar 2021 17:59:59 GMT (1759kb,D)
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