Kitaev materials

Trebst, Simon; Hickey, Ciarán

doi:10.1016/j.physrep.2021.11.003

Cited by 220 publications

(76 citation statements)

References 345 publications

(289 reference statements)

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“…Here, we report the observation of an anomalous thermal QHE in α-RuCl 3 that gives rise to a half-integer quantized thermal Hall conductance plateau even in the absence of an out-of-plane magnetic field, thereby confirming that the thermal QHE in α-RuCl 3 does indeed arise from a topologically non-trivial Chern insulator of Majorana fermions. Our experiments build on recent work identifying the spin-orbit coupled Mott insulator α-RuCl 3 [7] as a Kitaev material [8][9][10], in which local j eff = 1/2 pseudospins are almost coplanar within the honeycomb lattice [11], see Fig. 1A.…”

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confidence: 65%

Half-integer quantized anomalous thermal Hall effect in the Kitaev material $α$-RuCl$_3$

Yokoi,

Ma,

Kasahara

et al. 2020

Preprint

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Heat transport mediated by Majorana edge modes in a magnetic insulator leads to a half-integer thermal quantum Hall conductance, which has recently been reported for the two-dimensional honeycomb material α-RuCl 3 . While the conventional electronic Hall effect requires a perpendicular magnetic field, we find that this is not the case in α-RuCl 3 . Strikingly, the thermal Hall plateau appears even for a magnetic field with no out-of-plane components. The field-angular variation of the quantized thermal Hall conductance has the same sign structure of the topological Chern number, which is either ±1, as the Majorana band structure of the pure Kitaev spin liquid. This observation of a half-integer anomalous thermal Hall effect firmly establishes that the Kitaev interaction is primarily responsible and that the non-Abelian topological order associated with fractionalization of the local magnetic moments persists even in the presence of non-Kitaev interactions in α-RuCl 3 .

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confidence: 65%

Half-integer quantized anomalous thermal Hall effect in the Kitaev material $α$-RuCl$_3$

Yokoi,

Ma,

Kasahara

et al. 2020

Preprint

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confidence: 67%

“…This complex order results from the competition among various bond-dependent anisotropic exchange interactions. Similarly to all other Kitaev materials [8,9], edge-sharing IrO 6 octahedra in 𝛽-Li 2 IrO 3 provide 90 • paths for the dominant bond-directional, Ising-like Kitaev interaction among magnetic moments [2,3]. Besides the dominant Kitaev anisotropy, 𝛽-Li 2 IrO 3 features additional interactions, such as the nearest neighbor (NN) Heisenberg interaction 𝐽 and the symmetric component of the NN offdiagonal exchange coupling, commonly referred to as the Γ interaction [11,28,29].…”

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confidence: 99%

“…Introduction.-In recent years, magnetic insulators of 4d and 5d transition metal compounds with bond-directional exchange anisotropies, broadly known as Kitaev materials, have become a rich playground for novel magnetic phases of matter [1][2][3][4][5][6][7][8][9]. The majority of these systems order magnetically at sufficiently low temperatures [8,9], consistent with theoretical predictions that the Kitaev quantum spin liquid (QSL) phases, that are stabilized by the so-called Kitaev anisotropy 𝐾, are fragile against weak perturbations [3,[10][11][12]. However, the usual dominance of the Kitaev coupling renders these materials in relative proximaty to the ideal QSL phases, leading to a general expectation that the magnon modes expected at low energies will coexist with a broad continuum associated with the fractional excitations (spinons) of the nearby QSL phases [13][14][15][16][17][18][19][20][21][22].…”

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confidence: 99%

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Signatures of non-Loudon-Fleury Raman scattering in the Kitaev magnet $β$-Li$_2$IrO$_3$

Yang,

Wang,

Rousochatzakis

et al. 2022

Preprint

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We investigate the magnetic excitations of the hyperhoneycomb Kitaev magnet 𝛽-Li 2 IrO 3 by means of inelastic Raman scattering. The spectra exhibits a coexistence of a broad scattering continuum and two sharp low-energy peaks at 2.5 meV and 3 meV, with a distinctive polarization dependence. While the continuum is suggestive of fractional quasi-particles emerging from a proximate quantum spin liquid phase, the sharp peaks provide the first experimental signature of the 'non-Loudon-Fleury' one-magnon scattering processes proposed recently [Phys. Rev. B 104, 144412 (2021)]. The corresponding microscopic mechanism is similar to the one leading to the symmetric off-diagonal exchange interaction Γ (as it involves a combination of both direct and ligand-mediated exchange paths), but is otherwise completely unexpected within the traditional Loudon-Fleury theory of Raman scattering. The present experimental verification therefore calls for a drastic reevaluation of Raman scattering in similar systems with strong spin orbit coupling and multiple exchange paths.

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“…Several instances of this connection arise in Mott insulators constituted of magnetic ions with partially filled 4d or 5d shells [1][2][3][4][5]. Among such systems, the so-called Kitaev materials have attracted enormous interest as hosts for the Ising-like bond-dependent interactions that are characteristic of Kitaev's honeycomb model [6][7][8][9][10][11][12][13]. The Kitaev model describes a system of spins S = 1/2 located at the vertices of a honeycomb lattice and, remarkably, admits an exact solution over its entire parameter space.…”

Section: Introductionmentioning

confidence: 99%

Stability of ordered and disordered phases in the Heisenberg-Kitaev model in a magnetic field

Cônsoli

Andrade

2022

J. Phys.: Conf. Ser.

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The S = 1/2 Kitaev honeycomb model has attracted significant attention as an exactly solvable example with a quantum spin liquid ground state. In an properly oriented external magnetic field, the system exhibits chiral Majorana edge modes with an associated quantized thermal Hall conductance, and a distinct spin-disordered phase emerges at intermediate field strengths, below the polarized phase. However, since material realizations of Kitaev magnetism invariably display competing exchange interactions, the stability of these exotic phases with respect to additional couplings is a key issue. Here, we report a 24-site exact diagonalization study of the Heisenberg-Kitaev model in a magnetic field applied in the [001] and [111] directions. By mapping the full phase diagram of the model and contrasting the results to recent nonlinear spin-wave calculations, we show that both methods agree well, thus establishing that quantum corrections substantially modify the classical phase diagram. Furthermore, we find that, in a [111] field, the intermediate-field spin-disordered phase is remarkably stable to Heisenberg interactions and may potentially end in a novel quantum tricritical point.

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Kitaev materials

Cited by 220 publications

References 345 publications

Half-integer quantized anomalous thermal Hall effect in the Kitaev material $α$-RuCl$_3$

Half-integer quantized anomalous thermal Hall effect in the Kitaev material $α$-RuCl$_3$

Signatures of non-Loudon-Fleury Raman scattering in the Kitaev magnet $β$-Li$_2$IrO$_3$

Stability of ordered and disordered phases in the Heisenberg-Kitaev model in a magnetic field

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