# Effective model with strong Kitaev interactions for α -RuCl 3

@article{Suzuki2018EffectiveMW, title={Effective model with strong Kitaev interactions for $\alpha$ -RuCl 3}, author={T. Suzuki and S. Suga}, journal={Physical Review B}, year={2018}, volume={97}, pages={134424} }

We use an exact numerical diagonalization method to calculate the dynamical spin structure factors of three ab initio models and one ab initio guided model for a honeycomb-lattice magnet $\ensuremath{\alpha}\text{\ensuremath{-}}{\mathrm{RuCl}}_{3}$. We also use thermal pure quantum states to calculate the temperature dependence of the heat capacity, the nearest-neighbor spin-spin correlation function, and the static spin structure factor. From the results obtained from these four effective… Expand

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#### References

SHOWING 1-10 OF 47 REFERENCES

Theoretical investigation of magnetic dynamics in α − RuCl 3

- Physics
- 2017

We study spin-wave excitations in $\ensuremath{\alpha}\ensuremath{-}{\mathrm{RuCl}}_{3}$ by the spin-wave theory. Starting from the five-orbital Hubbard model and the perturbation theory, we derive… Expand

Spin-Wave Excitations Evidencing the Kitaev Interaction in Single Crystalline α-RuCl_{3}.

- Physics, Medicine
- Physical review letters
- 2017

An effective-spin model in the strong-coupling limit is derived based on energy bands obtained from first-principles calculations, and it is found that the anisotropic Kitaev interaction K term and the isotropic antiferromagnetic off-diagonal exchange interaction Γ term are significantly larger than the Heisenberg exchange coupling J term. Expand

Probing α-RuCl_{3} Beyond Magnetic Order: Effects of Temperature and Magnetic Field.

- Physics, Medicine
- Physical review letters
- 2018

A very rich evolution of the spin dynamics as the applied field suppresses the zigzag order and stabilizes a quantum paramagnetic state that is adiabatically connected to the fully polarized state at high fields is found. Expand

Kitaev magnetism in honeycomb RuCl 3 with intermediate spin-orbit coupling

- Physics
- 2015

Intensive studies of the interplay between spin-orbit coupling (SOC) and electronic correlations in transition metal compounds have recently been undertaken. In particular, $j_{\rm eff}$ = 1/2 bands… Expand

Magnetization processes of zigzag states on the honeycomb lattice: Identifying spin models for α − RuCl 3 and Na 2 IrO 3

- Physics
- 2017

We study the field-induced magnetization processes of extended Heisenberg-Kitaev models on the honeycomb lattice, taking into account off-diagonal and longer-range exchange interactions, using a… Expand

Majorana dynamical mean-field study of spin dynamics at finite temperatures in the honeycomb Kitaev model

- Physics
- 2017

A prominent feature of quantum spin liquids is fractionalization of the spin degree of freedom. Fractionalized excitations have their own dynamics in different energy scales, and hence, affect… Expand

Field-induced quantum criticality in the Kitaev system α − RuCl 3

- Physics
- 2017

alpha-magnetic excitations akin to Kitaev's honeycomb-lattice spin liquid. We have performed a detailed specific-heat investigation at temperatures down to 0.4 K in applied magnetic fields up to 9 T… Expand

Clues and criteria for designing a Kitaev spin liquid revealed by thermal and spin excitations of the honeycomb iridate Na 2 IrO 3

- Physics
- 2016

Contrary to the original expectation, ${\mathrm{Na}}_{2}{\mathrm{IrO}}_{3}$ is not a Kitaev's quantum spin liquid (QSL) but shows a zigzag-type antiferromagnetic order in experiments. Here, we… Expand

Magnetic order in α -RuCl 3 : A honeycomb-lattice quantum magnet with strong spin-orbit coupling

- Physics
- 2015

We report magnetic and thermodynamic properties of single crystal $\alpha$-RuCl$_3$, in which the Ru$^{3+}$ ($4d^5$) ion is in its low spin state and forms a honeycomb lattice. Two features are… Expand

Evidence for a Field-Induced Quantum Spin Liquid in α-RuCl_{3}.

- Physics, Medicine
- Physical review letters
- 2017

These results provide direct evidence that α-RuCl_{3} exhibits a magnetic-field-induced QSL, and exclude that the ground state is a fully polarized ferromagnet. Expand