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… 

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

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

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

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

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

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

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

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.

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

Kitaev materials

References

SHOWING 1-10 OF 102 REFERENCES

Magnetic anisotropy in the Kitaev model systems Na 2 IrO 3 and RuCl 3

We study the ordered moment direction in the extended Kitaev-Heisenberg model relevant to honeycomb lattice magnets with strong spin-orbit coupling. We utilize numerical diagonalization and analyze

Field-induced transitions in the Kitaev material α−RuCl3 probed by thermal expansion and magnetostriction

High-resolution thermal expansion and magnetostriction measurements were performed on single crystals of $\ensuremath{\alpha}\ensuremath{-}{\mathrm{RuCl}}_{3}$ in magnetic fields applied parallel to

Characterizing spin-one Kitaev quantum spin liquids

Material realizations of the bond-dependent Kitaev interactions with $S$=1/2 local moments have vitalized the research in quantum spin liquids. Recently, it has been proposed that higher-spin

Magnetic field induced spin liquids in S=1 Kitaev honeycomb model

We investigate the ground state properties of the spin S=1 Kitaev honeycomb model under a magnetic field based on the density matrix renormalization group calculation. With the time reversal symmetry

Spin-wave analysis of the low-temperature thermal Hall effect in the candidate Kitaev spin liquid α−RuCl3

Proposed effective Hamiltonians from the literature for the material $\alpha$-RuCl${}_3$ are used to compute the magnon thermal Hall conductivity, $\kappa_{xy}$, using linear spin wave theory for the

Challenges in design of Kitaev materials: Magnetic interactions from competing energy scales

Much interest has emerged in the realization of materials with quantum spin liquid ground states, which would provide fertile ground for realizing exotic excitations. Three ``Kitaev'' spin liquid

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

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

Honeycomb-Lattice Heisenberg-Kitaev Model in a Magnetic Field: Spin Canting, Metamagnetism, and Vortex Crystals.

This work maps out the classical phase diagram for different directions of the magnetic field using a combination of Monte Carlo simulations and spin-wave theory, and finds various large-unit-cell and multi-Q phases including a vortex-crystal phase for a field in the [111] direction.

Robust non-Abelian spin liquid and a possible intermediate phase in the antiferromagnetic Kitaev model with magnetic field

We investigate the non-Abelian topological chiral spin liquid phase in the two-dimensional (2D) Kitaev honeycomb model subject to a magnetic field. By combining density matrix renormalization group

Zigzag antiferromagnetic quantum ground state in monoclinic honeycomb lattice antimonates A3Ni2SbO6 (A=Li, Na)

We present a comprehensive experimental and theoretical study of the electronic and magnetic properties of two quasi-two-dimensional (2D) honeycomb lattice monoclinic compounds
...