Unveiling the S=3/2 Kitaev honeycomb spin liquids

Jin, Hui-Ke; Natori, W. M. H.; Pollmann, Frank; Knolle, Johannes

doi:10.1038/s41467-022-31503-0

Cited by 25 publications

(3 citation statements)

References 60 publications

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Section: Semiclassical Approach To the Spin-s Kitaev Honeycomb Model:...mentioning

confidence: 99%

“…The spin-3/2 Kitaev honeycomb model is unique among the spin-S Kitaev models due to a massive ground state quasidegeneracy that has hampered numerical and analytical studies [152,194]. In a recent work [152], the authors have used an SO(6) Majorana parton mean-field theory and showed that the anomalous features of S-3/2 Kitaev QSL can be understood in terms of an emergent low-energy Majorana flat band. Away from the isotropic limit, when the S = 3/2 Kitaev spin liquid is supplemented with single-ion anistoropy term, it generally displays a quadrupolar order with gapped or gapless Majorana excitations, features that were quantitatively confirmed by DMRG simulations [152].…”

Section: Semiclassical Approach To the Spin-s Kitaev Honeycomb Model:...mentioning

confidence: 99%

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Beyond Kitaev physics in strong spin-orbit coupled magnets

Rousochatzakis,

Perkins,

Luo

et al. 2024

Rep. Prog. Phys.

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We review the recent advances and current challenges in the field of strong spin-orbit coupled Kitaev materials, with a particular emphasis on the physics beyond the exactly-solvable Kitaev spin liquid point. To this end, we present a comprehensive overview of the key exchange interactions in candidate materials with a specific focus on systems featuring effective $J_{\rm eff}\!=\!1/2$ magnetic moments. This includes, but not limited to, $5d^5$ iridates, $4d^5$ ruthenates and $3d^7$ cobaltates. Our exploration covers the microscopic origins of these interactions, along with a systematic attempt to map out the most intriguing correlated regimes of the multi-dimensional parameter space. Our approach is guided by robust symmetry and duality transformations as well as insights from a wide spectrum of analytical and numerical studies. We also survey higher spin Kitaev models and recent exciting results on quasi-one-dimensional models and discuss their relevance to higher-dimensional models. Finally, we highlight some of the key questions in the field as well as future directions.

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Section: Semiclassical Approach To the Spin-s Kitaev Honeycomb Model:...mentioning

confidence: 99%

Section: Semiclassical Approach To the Spin-s Kitaev Honeycomb Model:...mentioning

confidence: 99%

Beyond Kitaev physics in strong spin-orbit coupled magnets

Rousochatzakis,

Perkins,

Luo

et al. 2024

Rep. Prog. Phys.

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“…It also attracts tremendous attention due to the discovery of candidate materials [2][3][4][5]. More recently, the higher-spin generalizations of the Kitaev materials were proposed [6][7][8][9][10][11][12] and have triggered extensive analytical and numerical studies [13][14][15][16][17][18][19][20][21][22][23][24][25][26][27][28].…”

mentioning

confidence: 99%

Symmetries and anomalies of Kitaev spin-S models: Identifying symmetry-enforced exotic quantum matter

Liu,

Lam,

et al. 2024

SciPost Phys.

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We analyze the internal symmetries and their anomalies in the Kitaev spin-SS models. Importantly, these models have a lattice version of a \mathbb{Z}_2ℤ2 1-form symmetry, denoted by \mathbb{Z}_2^{[1]}ℤ2[1]. There is also an ordinary 0-form \mathbb{Z}_2^{(x)}×\mathbb{Z}_2^{(y)}×\mathbb{Z}_2^Tℤ2(x)×ℤ2(y)×ℤ2T symmetry, where \mathbb{Z}_2^{(x)}×\mathbb{Z}_2^{(y)}ℤ2(x)×ℤ2(y) are \piπ spin rotations around two orthogonal axes, and \mathbb{Z}_2^Tℤ2T is the time reversal symmetry. The anomalies associated with the full \mathbb{Z}_2^{(x)}×\mathbb{Z}_2^{(y)}×\mathbb{Z}_2^T×\mathbb{Z}_2^{[1]}ℤ2(x)×ℤ2(y)×ℤ2T×ℤ2[1] symmetry are classified by \mathbb{Z}_2^{17}ℤ217. We find that for S∈\mathbb{Z}S∈ℤ the model is anomaly-free, while for S∈\mathbb{Z}+\frac{1}{2}S∈ℤ+12 there is an anomaly purely associated with the 1-form symmetry, but there is no anomaly purely associated with the ordinary symmetry or mixed anomaly between the 0-form and 1-form symmetries. The consequences of these symmetries and anomalies apply to not only the Kitaev spin-SS models, but also any of their perturbed versions, assuming that the perturbations are local and respect the symmetries. If these local perturbations are weak, generically these consequences still apply even if the perturbations break the 1-form symmetry. A notable consequence is that there should generically be a deconfined fermionic excitation carrying no fractional quantum number under the \mathbb{Z}_2^{(x)}×\mathbb{Z}_2^{(y)}×\mathbb{Z}_2^Tℤ2(x)×ℤ2(y)×ℤ2T symmetry if S∈\mathbb{Z}+\frac{1}{2}S∈ℤ+12, which implies symmetry-enforced exotic quantum matter. We also discuss the consequences for S∈\mathbb{Z}S∈ℤ.

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