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Kitaev Materials

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arxiv 1701.07056 v1 pith:46D2AN3W submitted 2017-01-24 cond-mat.str-el

Simon Trebst This is my paper · ORCID
classification cond-mat.str-el
keywords materialskitaevspin-orbitformsincludesspinthree-dimensionalalpha
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abstract

In transition-metal compounds with partially filled $4d$ and $5d$ shells spin-orbit entanglement, electronic correlations, and crystal-field effects conspire to give rise to a variety of novel forms of topological quantum matter. This includes Kitaev materials -- a family of spin-orbit assisted Mott insulators, in which local, spin-orbit entangled $j=1/2$ moments form that are subject to strong bond-directional interactions. On a conceptual level, Kitaev materials attract much interest for their unconventional forms of magnetism, such as spin liquid physics in two- and three-dimensional lattice geometries or the formation of non-trivial spin textures. Experimentally, a number of Kitaev materials have been synthesized, which includes the honeycomb materials Na$_2$IrO$_3$, $\alpha$-Li$_2$IrO$_3$, and RuCl$_3$, the triangular materials Ba$_3$Ir$_x$Ti$_{3-x}$O$_9$, as well as the three-dimensional hyper-honeycomb and stripy-honeycomb materials $\beta$-Li$_2$IrO$_3$ and $\gamma$-Li$_2$IrO$_3$. These lecture notes provide a short review of the current status of the theoretical and experimental exploration of these Kitaev materials.

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Cited by 11 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. Non-Abelian chiral spin liquid on a simple non-Archimedean lattice

    cond-mat.str-el 2019-08 conditional novelty 8.0 of 10

    The Kitaev model on the pentaheptite lattice is exactly solvable and hosts a non-Abelian chiral spin liquid with spontaneous time reversal symmetry breaking.

  2. Signatures of Non-Abelian Kitaev quantum spin liquids in noise magnetormetry

    cond-mat.str-el 2025-01 conditional novelty 7.0 of 10

    NV-center T1 noise magnetometry should show a sharp relaxation enhancement when its frequency matches the energy gap between a vacancy-bound Majorana zero mode and a low-energy hybridized Majorana mode in a non-Abelia...

  3. High-Field Quantum Disordered State in $\alpha$-RuCl3: Spin Flips, Bound States, and a Multi-Particle Continuum

    cond-mat.str-el 2019-08 conditional novelty 7.0 of 10

    The high-field phase of α-RuCl3 is a partially polarized quantum disordered state with a single spin-flip mode, a two-particle bound state, and a gapped continuum.

  4. Origin of the insulating state in the Kitaev candidate Cu$_2$IrO$_3$

    cond-mat.str-el 2024-11 conditional novelty 6.0 of 10

    The insulating state of Cu2IrO3 is proposed to originate from Ir3+/Ir4+ charge ordering that forms two interpenetrated triangular lattices of magnetic Ir4+ and Cu2+ ions.

  5. Spin-liquid-based topological qubits

    cond-mat.str-el 2024-11 conditional novelty 6.0 of 10

    A blueprint for two scalable spin-liquid-based topological qubit architectures, complete with protocols for anyon creation, readout, braiding, and gates.

  6. Two-Magnon Bound States in the Kitaev Model in a $[111]$-Field

    cond-mat.str-el 2019-08 conditional novelty 6.0 of 10

    In the Kitaev model in a [111] field, the two-magnon bound-state gap lies below the single-magnon gap in the spin liquid and the pair gap controls the transition into the polarized phase.

  7. Quantum Spin Liquid in a depleted triangular lattice Iridate K$_x$Ir$_y$O$_2$

    cond-mat.str-el 2019-08 conditional novelty 6.0 of 10

    Measurements on the new layered iridate K0.85Ir0.79O2 show no magnetic order down to 1.8 K and a T-linear heat capacity, consistent with a gapless quantum spin liquid.

  8. Magnetic field induced quantum phases in a tensor network study of Kitaev magnets

    cond-mat.str-el 2019-08 conditional novelty 6.0 of 10

    In the K-Γ-Γ' model for α-RuCl3, the chiral Kitaev spin liquid survives only in a small corner, while new nematic paramagnet phases dominate the intermediate magnetic-field regime.

  9. Resonant inelastic x-ray scattering study of $\alpha$-RuCl$_3$: a progress report

    cond-mat.str-el 2019-08 conditional novelty 6.0 of 10

    Ru M3-edge RIXS on α-RuCl3 reveals a single unsplit spin-orbit exciton at 231 meV, yielding λ=154±2 meV and an upper bound |Δ|<65 meV on trigonal distortion, consistent with jeff=1/2 physics.

  10. Fractional excitations in Kitaev quasi-one-dimensional chain

    cond-mat.str-el 2026-06 unverdicted novelty 4.0 of 10

    A quasi-1D Kitaev chain from truncated honeycomb shows chiral topological phases with protected edge modes in BDI class and broad continua from fractional excitations in dynamical spin correlations.

  11. Hunting Majorana Fermions in Kitaev Magnets

    cond-mat.str-el 2019-09 conditional novelty 3.0 of 10

    A review of theoretical and experimental evidence that Kitaev magnets exhibit thermal fractionalization into Majorana fermions and Z2 fluxes, with the half-quantized thermal Hall effect as the strongest proposed signature.

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