Proximate ferromagnetic state in the Kitaev model material α-RuCl3

Suzuki, H.; Liu, Huimei; Bertinshaw, Joel; Ueda, Kentaro; Kim, Heonoh; Laha, Sourav; Weber, Daniel; Yang, Zichen; Wang, Lichen; Takahashi, Hideo; Fürsich, Katrin; Minola, M.; Lotsch, Bettina V.; Kim, B. J.; Yavaş, Hasan; Daghofer, Maria; Chaloupka, Jiří; Khaliullin, Giniyat; Gretarsson, H.; Keimer, B.

doi:10.1038/s41467-021-24722-4

Cited by 70 publications

(49 citation statements)

References 73 publications

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“…On the other hand, at finite temperatures, the above method should be hard to treat both excitations with distinct energy scales. Thus, we use the TPQ state method [30,31], where local quantities are efficiently evaluated without the trace calculations [36][37][38][39][40][41][42]. An important point is that this numerical method takes several energy scales into account on equal footing, and thereby has been successfully used in several systems such as the Heisenberg model on frustrated lattices [30][31][32][43][44][45][46] and the Kitaev models [47][48][49][50][51][52][53].…”

Section: Model and Methodsmentioning

confidence: 99%

Thermally enhanced Majorana-mediated spin transport in the Kitaev model

Taguchi,

Murakami,

Koga

2022

Preprint

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We study how stable the Majorana-mediated spin transport in a quantum spin Kitaev model is against thermal fluctuations. Using the time-dependent thermal pure quantum state method, we examine finite-temperature spin dynamics in the Kitaev model. The model exhibits two characteristic temperatures TL and TH , which correspond to energy scales of the local flux and the itinerant Majorana fermion, respectively. At low temperatures (T TL), an almost flux-free state is realized and the spin excitation propagates in a similar way to that for the ground state. Namely, after the magnetic pulse is introduced at one of the edges, the itinerant Majorana fermions propagate the spin excitations even through the quantum spin liquid state region, and oscillations in the spin moment appear in the other edge with a tiny magnetic field. When T ∼ TL, larger oscillations in the spin moments are induced in the other edge, compared to the results at the ground state. At higher temperatures, excited Z2 fluxes disturb the coherent motion of the itinerant Majorana fermions, which suppresses the spin propagation. Our results demonstrate a crucial role of thermal fluctuations in the Majorana-mediated spin transport.

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Section: Model and Methodsmentioning

confidence: 99%

Thermally enhanced Majorana-mediated spin transport in the Kitaev model

Taguchi,

Murakami,

Koga

2022

Preprint

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“…S2 (a), (b), and S3]. The strength of the CEF is typically ∼ 1 eV [80]. If the ligand is ∼ 0.1-1 nm away from the magnetic ion, the internal CEF is ∼ 10-100 MV/cm.…”

Section: S3 Strength Of External and Internal Electric Fieldsmentioning

confidence: 99%

“…( 4) guides us to experimental controls of Kitaev materials. Currently, much effort is being made to investigate effects of non-Kitaev interactions on QSL states of the pure Kitaev model because non-Kitaev interactions are present in real Kitaev materials such as α-RuCl 3 [73][74][75][76][77][78][79][80].…”

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confidence: 99%

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Electric-Field Control of Magnetic Anisotropies: Applications to Kitaev Spin Liquids and Topological Spin Textures

Furuya¹,

Sato²

2021

Preprint

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Magnetic anisotropies originate from the spin-orbit coupling and determine the phase that magnetic systems fall into. We develop a microscopic theory for DC electric-field controls of magnetic anisotropies in magnetic Mott insulators and discuss its applications to Kitaev materials and topological spin textures. First, we derive a Kitaev-Heisenberg model based on a microscopic approach similar to that by G. Jackeli and G. Khaliullin, Phys. Rev. Lett. 102, 017205 (2009). In the presence of a strong intra-atomic spin-orbit coupling, DC electric fields add non-Kitaev interactions such as a Dzyaloshinskii-Moriya interaction and an off-diagonal Γ interaction to the Kitaev-Heisenberg model and can induce a topological quantum phase transition between Majorana Chern insulating phases. We also investigate the inter-atomic Rashba spin-orbit coupling and its effects on topological spin textures. DC electric fields turn out to create and annihilate magnetic skyrmions, hedgehogs, and chiral solitons.

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“…To avoid crossing a two-dimensional phase transition on passing to the trivial phase, the bridge thickness should not greatly exceed the bulk spin-liquid correlation length ξ bulk ∼ v bulk /∆ bulk , where v bulk is the Dirac velocity for bulk emergent fermions. For Kitaev couplings K ∼ 8meV [68][69][70][71] and lattice constant a ∼ 0.6nm [72], the velocity is v bulk ≈ √ 3Ka/4 ∼ 3 × 10 3 m/s [2]; taking ∆ bulk ∼ 5K [15] then yields ξ bulk ∼ 5nm. The bridge length L b , however, must exceed ξ bulk so that Ising anyons trapped in the holes decouple in the spin-liquid bridge configuration and thus cannot annihilate.…”

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confidence: 99%

Dynamical anyon generation in Kitaev honeycomb non-Abelian spin liquids

Liu,

Slagle,

Burch

et al. 2021

Preprint

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Relativistic Mott insulators known as 'Kitaev materials' potentially realize spin liquids hosting non-Abelian anyons. Motivated by fault-tolerant quantum-computing applications in this setting, we introduce a dynamical anyon-generation protocol that exploits universal edge physics. The setup features holes in the spin liquid, which define energetically cheap locations for non-Abelian anyons, connected by a narrow bridge that can be tuned between spin liquid and topologically trivial phases. We show that modulating the bridge from trivial to spin liquid over intermediate time scales-quantified by analytics and extensive simulations-deposits non-Abelian anyons into the holes with O(1) probability. The required bridge manipulations can be implemented by integrating the Kitaev material into magnetic tunnel junction arrays that engender locally tunable exchange fields. Combined with existing readout strategies, our protocol reveals a path to topological qubit experiments in Kitaev materials at zero applied magnetic field.

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Proximate ferromagnetic state in the Kitaev model material α-RuCl3

Cited by 70 publications

References 73 publications

Thermally enhanced Majorana-mediated spin transport in the Kitaev model

Thermally enhanced Majorana-mediated spin transport in the Kitaev model

Electric-Field Control of Magnetic Anisotropies: Applications to Kitaev Spin Liquids and Topological Spin Textures

Dynamical anyon generation in Kitaev honeycomb non-Abelian spin liquids

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