# Heisenberg-Kitaev model in a magnetic field: 1/S expansion

@article{Cnsoli2020HeisenbergKitaevMI, title={Heisenberg-Kitaev model in a magnetic field: 1/S expansion}, author={Pedro M. C{\^o}nsoli and Lukas Janssen and Matthias Vojta and Eric C. Andrade}, journal={Physical Review B}, year={2020}, volume={102}, pages={155134} }

The exact solution of Kitaev's spin-$1/2$ honeycomb spin-liquid model has sparked an intense search for Mott insulators hosting bond-dependent Kitaev interactions, of which ${\mathrm{Na}}_{2}{\mathrm{IrO}}_{3}$ and $\ensuremath{\alpha}\text{\ensuremath{-}}\mathrm{Ru}{\mathrm{Cl}}_{3}$ are prime examples. Subsequently, it has been proposed that also spin-1 and spin-$3/2$ analogs of Kitaev interactions may occur in materials with strong spin-orbit coupling. As a minimal model to describe these…

## 13 Citations

### Generic field-driven phenomena in Kitaev spin liquids: Canted magnetism and proximate spin liquid physics

- PhysicsPhysical Review B
- 2021

Topological spin liquids in two spatial dimensions are stable phases in the presence of a small magnetic field, but may give way to field-induced phenomena at intermediate field strengths. Sandwiched…

### Phase diagrams of spin-$S$ Kitaev ladders

- Physics
- 2022

We investigate the ground states of spin- S Kitaev ladders using exact analytical solutions (for S = 1 / 2), perturbation theory and the density matrix renormalization group (DMRG) method. We ﬁnd an…

### A quantum spin liquid phase in the Kitaev-Hubbard model

- Physics
- 2022

The quantum spin liquid (QSL) state has been searched intensively in Kitaev-like materials, such as the Iridium oxides A 2 IrO 3 and α -RuCl 3 . The half-ﬁlled Kitaev-Hubbard model with bond…

### Ab initio guided minimal model for the"Kitaev"material BaCo$_2$(AsO$_4$)$_2$: Importance of direct hopping, third-neighbor exchange and quantum fluctuations

- Physics
- 2022

By considering two ab initio -based complementary approaches, we analyze the electronic structure and extract eﬀective spin models of BaCo 2 (AsO 4 ) 2 , a honeycomb material which has been proposed…

### Mean-Field Continuum Model of the Twisted Kitaev Bilayer

- Physics
- 2022

Kitaev quantum spin liquids have been the focus of intense research effort thanks to the discovery of various materials (e.g., RuCl3) that approximate their intriguing physics. In this paper we…

### Emergent hypermagic manifold in twisted Kitaev bilayers

- PhysicsPhysical Review B
- 2022

Kitaev quantum spin liquids have been the focus of intense research eﬀort thanks to the discovery of various materials (e.g., RuCl 3 ) that approximate their intriguing physics. In this paper we…

### Strategy to extract Kitaev interaction using symmetry in honeycomb Mott insulators

- Physics, Materials ScienceCommunications Physics
- 2022

The Kitaev spin liquid, a ground state of the bond-dependent Kitaev model in a honeycomb lattice has been a center of attraction, since a microscopic theory to realize such an interaction in…

### Disorder, Low-Energy Excitations, and Topology in the Kitaev Spin Liquid.

- PhysicsPhysical review letters
- 2022

The Kitaev model is a fascinating example of an exactly solvable model displaying a spin-liquid ground state in two dimensions. However, deviations from the original Kitaev model are expected to…

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