Ground-state phase diagram of anisotropically interacting Heisenberg-
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 models on a honeycomb lattice

Suzuki, Takafumi; Yamada, Takuto; Suga, Sei–ichiro

doi:10.1103/physrevb.103.224425

Cited by 2 publications

(2 citation statements)

References 46 publications

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“…8(3-y)] can be seen. The density-matrix renormalization group (DMRG) method has been applied to the Heisenberg-model defined on the honeycomb lattice, which also gives the Neel state in the parameter range similar to what we adopt [30]. Interestingly, the DMRG studies indicate that the ground state for the XXZ model defined on the honeycomb lattice is also a Neel state [31].…”

Section: Ground State Phase Diagram Without Dm Interactionmentioning

confidence: 99%

Anisotropic exchange coupling and ground state phase diagram of Kitaev compound YbOCl

Zhang

Cai

Kang

et al. 2022

Phys. Rev. Research

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Rare-earth chalcohalide REChX (RE = rare earth; Ch = O, S, Se, Te; X = F, Cl, Br, I) is a newly reported family of Kitaev spin liquid candidates. The family offers a platform where a strong spin-orbit coupling meets a van der Waals layered and undistorted honeycomb spin lattice, which outputs highly anisotropic exchange couplings required by the Kitaev model. YbOCl is the first single crystal of the family we grew, with a size up to ∼15 mm. We have performed magnetization and high magnetic field electron spin resonance measurements from 2 to 300 K. We develop the mean-field scenario for the anisotropic spin system, with which we are able to well describe the experiments and reliably determine the fundamental parameters. The self-consistent simulations give the anisotropic spin-exchange interactions of J ± (∼ − 0.3 K) and J zz (∼1.6 K), and g factors of g ab (∼3.4) and g c (∼2.9). Based on the spin-exchange interactions, we employ the exact diagonalization method to work out the ground state phase diagram of YbOCl in terms of the off-diagonal exchange couplings. The phase diagram hosting rich magnetic phases including the spin-disordered one, sheds light on the novel magnetic properties of the family, particularly the Kitaev physics.

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Section: Ground State Phase Diagram Without Dm Interactionmentioning

confidence: 99%

Anisotropic exchange coupling and ground state phase diagram of Kitaev compound YbOCl

Zhang

Cai

Kang

et al. 2022

Phys. Rev. Research

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“…(i) The first example is the anisotropic Heisenberg-Γ model where the z-bond strength is different from the other bonds [234]. The model thus interpolates between isolated bonds at one limit and a set of decoupled chains at the other limit, with the isotropic exchanges in between.…”

Section: Other Special Limitsmentioning

confidence: 99%

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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Ground-state phase diagram of anisotropically interacting Heisenberg- Γ models on a honeycomb lattice

Cited by 2 publications

References 46 publications

Anisotropic exchange coupling and ground state phase diagram of Kitaev compound YbOCl

Anisotropic exchange coupling and ground state phase diagram of Kitaev compound YbOCl

Beyond Kitaev physics in strong spin-orbit coupled magnets

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