Magnetism in spin models for depleted honeycomb-lattice iridates: Spin-glass order towards percolation

Abstract

Iridates are characterized by a fascinating interplay of spin-orbit and electron-electron interactions. The honeycomb-lattice materials A2IrO3 (A=Na,Li) have been proposed to realize pseudospin-1/2 Mott insulating states with strongly anisotropic exchange interactions, described by the Heisenberg-Kitaev model, but other scenarios involving longer-range exchange interactions or more delocalized electrons have been put forward as well. Here we study the influence of non-magnetic doping, i.e., depleted moments, on the magnetic properties of experimentally relevant variants of the Heisenberg-Kitaev and Heisenberg J1-J2-J3 models. We generically find that the zigzag order of the clean system is replaced, upon doping, by a spin-glass state with short-ranged zigzag correlations. We determine the spin-glass temperature as function of the doping level and argue that this quantity allows to experimentally distinguish the different proposed spin models when the doping is driven across the site percolation threshold of the honeycomb lattice.

6 pages, 4 figures. Published version

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• Effect of nonmagnetic dilution in honeycomb lattice iridates Na${}_2$IrO${}_3$ and Li${}_2$IrO${}_3$

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• Strongly frustrated triangular spin lattice emerging from triplet dimer formation in honeycomb Li2IrO3
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• New Honeycomb Iridium (V) Oxides: NaIrO${}_3$ and Sr${}_3$CaIr${}_2$O${}_9$
• Classical spin-liquid on the maximally frustrated honeycomb lattice
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• Susceptibility anisotropy and its disorder evolution in models for Kitaev materials
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• The phase diagram of a frustrated Heisenberg model: from disorder to order and back again
• Evolution of Magnetism in the $N{a}_{3-d}N{a}_{1-x}M{g}_{x}I{r}_2{O}_6$ Series of Honeycomb Iridates
• Disorder effects in the Kitaev-Heisenberg model
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• Chemical tuning of a honeycomb magnet through a critical point
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• Static and dynamical magnetic properties of the extended Kitaev-Heisenberg model with spin vacancies
• Bond disorder in extended Heisenberg-Kitaev models: Spin textures and in-gap states in the high-field regime
• Disorder, Low-Energy Excitations, and Topology in the Kitaev Spin Liquid