Possible Kitaev Quantum Spin Liquid State in 2D Materials with 
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Xu, Changsong; Feng, Junsheng; Kawamura, Mitsuaki; Yamaji, Youhei; Nahas, Yousra; Prokhorenko, Sergei; Qi, Yang; Xiang, Hongjun; Bellaïche, L.

doi:10.1103/physrevlett.124.087205

Cited by 132 publications

(93 citation statements)

References 52 publications

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“…In a certain reference frame, the former appear as off-diagonal elements and the latter as a purely diagonal one (see, e.g., Refs. [32,34]). In order to analyze all bonds at once, we show the three eigenvalues of the J S tensor (denoted as J S ), which contain a combined effect of the two types of couplings, discussed above.…”

Section: A Cri 3 Bulkmentioning

confidence: 99%

“…Both DM and Kitaev interactions originate from spin-orbit coupling (SOC) and therefore they are usually small in 3d-based materials (smaller than the Heisenberg exchange). However, in the case of CrI 3 it is the orbitals of heavy iodine atoms that carry substantial SOC and is the source of anisotropic interactions [32][33][34][35]. The sets of magnetic interaction parameters extracted from various experiments and theoretical calculations are vastly different (for review, see Ref.…”

Section: Introductionmentioning

confidence: 99%

“…This implies that the states associated with magnetism are well localized and the system can be well described by an effective Heisenberg model of interacting spins. These kinds of studies have been performed focusing on the effective exchange interactions and magnetic anisotropy, which were computed from the DFT total energies [32][33][34][41][42][43][44].…”

Section: Introductionmentioning

confidence: 99%

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Relativistic exchange interactions in CrX3 ( X=Cl , Br, I) monolayers

et al. 2020

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It has been predicted theoretically and indirectly confirmed experimentally that single-layer CrX 3 (X = Cl, Br, I) might be the prototypes of topological magnetic insulators (TMI). In this work, by using first-principles calculations combined with atomistic spin dynamics, we provide a complete picture of the magnetic interactions and magnetic excitations in CrX 3. The focus is here on the two most important aspects for the actual realization of TMI, namely the relativistic magnetic interactions and the finite-size (edge) effects. We compute the full interaction tensor, which includes both Kitaev and Dzyaloshinskii-Moriya (DM) terms, which are considered as the most likely mechanisms for stabilizing topological magnons. First, we instigate the properties of bulk CrI 3 and compare the simulated magnon spectrum with the experimental data [Phys. Rev. X 8, 041028 (2018)]. Our results suggest that a large size of topological gap, seen in experiment (≈4 meV), cannot be explained by considering pair-wise spin interactions only. We identify several possible reasons for this disagreement. The magnetic interactions in the monolayers of CrX 3 are also investigated. The strength of the anisotropic interactions is shown to scale with the position of halide atom in the periodic table, the heavier the element the larger is the anisotropy, in agreement with prior studies. Comparing the magnons for the bulk and single-layer CrI 3 , we find that the size of the topological gap becomes smaller in the latter case. The obtained next nearest-neighbor DM vector is oriented primarily in-plane of the monolayer and has relatively small z component, which results in a small value of the topological gap. Finally, we investigate finite-size effects in monolayers and demonstrate that the anisotropic couplings between Cr atoms close to the edges are much stronger than those in ideal periodic structure. This should have impact on the dynamics of the magnon edge modes in Cr halides.

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Section: A Cri 3 Bulkmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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Relativistic exchange interactions in CrX3 ( X=Cl , Br, I) monolayers

et al. 2020

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“…Like the on-site magnetic anisotropy, the eigenvectors of the J 12 matrix can be used to specify the easy, intermediate, and hard axes of a given pair of magnetic atoms (see Appendix A). For very anisotropic systems, this leads to the Kitaev bonddependent symmetric exchange anisotropy [9,50]. The twosite interactions are augmented with the isotropic biquadratic interaction B 12 (S 1 • S 2 ) 2 and with the recently uncovered chiral biquadratic interaction…”

Section: Two-site Interactionsmentioning

confidence: 99%

“…First, the energy of different magnetic structures can be systematically mapped to a spin cluster expansion [45][46][47][48][49], of which the four-state mapping method is a simplified form able to determine all types of two-spin interactions (see, for instance, Ref. [50] for an application to the Kitaev interaction). In Ref.…”

Section: Introductionmentioning

confidence: 99%

Prospecting chiral multisite interactions in prototypical magnetic systems

Brinker

Dias

Lounis

2020

Phys. Rev. Research

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Atomistic spin models have found enormous success in addressing the properties of magnetic materials, grounded on the identification of the relevant underlying magnetic interactions. For instance, the huge development in the field of magnetic skyrmions and other noncollinear magnetic structures is largely due to our understanding of the chiral Dzyaloshinskii-Moriya interaction. Recently, various works have proposed new types of chiral interactions, with seemingly different forms, but the big picture is still missing. Here, we present a systematic construction of a generalized spin model containing isotropic and chiral multisite interactions. These are motivated by a microscopic model that incorporates local spin moments and the spin-orbit interaction, and their symmetry properties are established. We show that the chiral interactions arise solely from the spin-orbit interaction and that the multisite interactions do not have to follow Moriya's rules, unlike the Dzyaloshinskii-Moriya and chiral biquadratic interactions. The chiral multisite interactions do not vanish as a result of inversion symmetry and comply with a generalized Moriya rule: If all sites connected by the interaction lie in the same mirror plane, the chiral interaction vector must be perpendicular to this plane. We then illustrate our theoretical considerations with density functional theory calculations for prototypical magnetic systems. These are triangular trimers built out of Cr, Mn, Fe, and Co adatoms on the Re(0001), Pt(111), and Au(111) surfaces, for which C 3v symmetry applies, and Cr and Fe square tetramers on Pt(001) with C 4v symmetry. The multisite interactions are substantial in magnitude and cannot be neglected when comparing the energy of different magnetic structures. Finally, we discuss the recent literature in light of our findings and clarify several unclear or confusing points.

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Polaronic Conductivity in Cr₂Ge₂Te₆ Single Crystals

Liu

Han

Lee

et al. 2022

Adv Funct Materials

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Intrinsic 2D ferromagnetic semiconductors are an important class of materials for spin-charge conversion applications. Cr 2 Ge 2 Te 6 retains long-range magnetic order in the bilayer at cryogenic temperatures and shows complex magnetic interactions with considerable magnetic anisotropy. Here, a series of structural, magnetic, X-ray scattering, electronic, thermal transport and first-principles calculation studies are performed, which reveal that localized electronic charge carriers in Cr 2 Ge 2 Te 6 are dressed by the surrounding lattice and are involved in polaronic transport via hopping that is observed via magnetocrystalline anisotropy. This opens the possibility for manipulation of charge transport in Cr 2 Ge 2 Te 6 -based devices by electron-phonon-and spinorbit coupling-based tailoring of polaron properties.

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Possible Kitaev Quantum Spin Liquid State in 2D Materials with S=3/2

Cited by 132 publications

References 52 publications

Relativistic exchange interactions in CrX3 ( X=Cl , Br, I) monolayers

Relativistic exchange interactions in CrX3 ( X=Cl , Br, I) monolayers

Prospecting chiral multisite interactions in prototypical magnetic systems

Polaronic Conductivity in Cr₂Ge₂Te₆ Single Crystals

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Possible Kitaev Quantum Spin Liquid State in 2D Materials with S=3/2

Cited by 132 publications

References 52 publications

Relativistic exchange interactions in CrX3 ( X=Cl , Br, I) monolayers

Relativistic exchange interactions in CrX3 ( X=Cl , Br, I) monolayers

Prospecting chiral multisite interactions in prototypical magnetic systems

Polaronic Conductivity in Cr2Ge2Te6 Single Crystals

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Product

Resources

About

Polaronic Conductivity in Cr₂Ge₂Te₆ Single Crystals