# Two iridates, two models, and two approaches: A comparative study on magnetism in three-dimensional honeycomb materials

@article{Lee2016TwoIT, title={Two iridates, two models, and two approaches: A comparative study on magnetism in three-dimensional honeycomb materials}, author={Eric Kin-Ho Lee and Jeffrey G. Rau and Yong Baek Kim}, journal={Physical Review B}, year={2016}, volume={93}, pages={184420} }

Two recent theoretical works studied the role of Kitaev interactions in the newly observed incommensurate magnetic order in the hyper-honeycomb ($\ensuremath{\beta}\ensuremath{-}{\mathrm{Li}}_{2}{\mathrm{IrO}}_{3}$) and stripy-honeycomb ($\ensuremath{\gamma}\ensuremath{-}{\mathrm{Li}}_{2}{\mathrm{IrO}}_{3}$) iridates. Each of these works analyzed a different model ($JK\mathrm{\ensuremath{\Gamma}}$ versus coupled zigzag chain model) using a contrasting method (classical versus soft-spin analysis…

## 25 Citations

Field evolution of low-energy excitations in the hyperhoneycomb magnet
β−Li2IrO3

- Materials Science
- 2020

$^{7}\mathrm{Li}$ nuclear magnetic resonance and terahertz (THz) spectroscopies are used to probe magnetic excitations and their field dependence in the hyperhoneycomb Kitaev magnet…

Reentrant incommensurate order and anomalous magnetic torque in the Kitaev magnet
β−Li2IrO3

- Physics
- 2020

We present a theoretical study of the response of $\beta$-$\text{Li}_2\text{IrO}_3$ under external magnetic fields in the $ab$, $bc$ and $ac$ crystallographic planes. The results are based on the…

Breakdown of Magnetic Order in the Pressurized Kitaev Iridate β-Li_{2}IrO_{3}.

- Materials SciencePhysical review letters
- 2018

Temperature-pressure phase diagram of the Kitaev hyperhoneycomb iridate β-Li_{2}IrO_{3} is explored using magnetization, thermal expansion, magnetostriction, and muon spin rotation measurements, as…

Heisenberg-Kitaev models on hyperhoneycomb and stripy-honeycomb lattices: 3D-2D equivalence of ordered states and phase diagrams

- PhysicsPhysical Review Research
- 2020

We discuss magnetically ordered states, arising in Heisenberg-Kitaev and related spin models, on three-dimensional (3D) harmonic honeycomb lattices. For large classes of ordered states, we show that…

Electronic excitations in γ-Li2IrO3

- Physics
- 2017

We investigate the electronic properties of the three-dimensional stripyhoneycomb $\gamma$-Li$_2$IrO$_3$ via relativistic density functional theory calculations as well as exact diagonalization of…

Nonsymmorphic-Symmetry-Protected Topological Magnons in Three-Dimensional Kitaev Materials.

- Physics, Materials SciencePhysical review letters
- 2019

It is shown that three-dimensional Kitaev materials with nonsymmorphic symmetries can provide a great opportunity for controlling symmetry-protected topological nodal magnons and how such topological magnons can be controlled by changing the symmetry of the underlying spin-exchange interactions.

Classification and properties of quantum spin liquids on the hyperhoneycomb lattice

- Physics
- 2018

The family of "Kitaev materials" provides an ideal platform to study quantum spin liquids and their neighboring magnetic orders. Motivated by the possibility of a quantum spin liquid ground state in…

Minimal models of
α−Li2IrO3
: Range of interactions, ground state properties, and magnetization processes

- Materials SciencePhysical Review B
- 2019

In recent years, a lot of effort has been devoted to the quest for experimental realizations of Kitaev interactions in spin systems. Recently, many materials have been synthesized which seem to…

Kitaev-like honeycomb magnets: Global phase behavior and emergent effective models

- PhysicsPhysical Review B
- 2019

Compounds of transition metal ions with strong spin-orbit coupling recently attracted attention due to the possibility to host frustrated bond-dependent anisotropic magnetic interactions. In general,…