Theory of magnetism in the van der Waals magnet CrI3

Abstract

We study the microscopical origin of anisotropic ferromagnetism in the van der Waals magnet CrI3. We conclude that the nearest neighbors exchange is well described by the Heisenberg-Kitaev-Gamma (HKGamma) model, and we also found a nonzero Dzyaloshinskii-Moriya interaction (DMI) on next nearest neighbors. Both Kitaev and DMI are known to generate a non-trivial topology of the magnons in the honeycomb lattice and have been used separately to describe the low energy regime of this material. We discuss that including one or the other leads to different signs of the Chern number. Furthermore, the topological gap at K-point seems to be mainly produced by DMI, despite it is one order of magnitude smaller than Kitaev. Finally, we show that by applying an external electric field perpendicular to the crystal plane, it is possible to induce DMI on nearest neighbors, and this could have consequences in non-collinear spin textures, such as domain walls and skyrmions.

arXiv commentSubmitted to Physical Review B. 13 pages and 7 figures; Added references in section II.C

References in corpus (39)

• Quantum ESPRESSO: a modular and open-source software project for quantum simulations of materials
• Quantum Spin Hall Effect in Graphene
• Layer-dependent Ferromagnetism in a van der Waals Crystal down to the Monolayer Limit
• Maximally-localized Wannier functions for entangled energy bands
• Wannier90 as a community code: new features and applications
• Electrical Control of 2D Magnetism in Bilayer CrI3
• Controlling magnetism in 2D CrI3 by electrostatic doping
• Emergent Phenomena Induced by Spin-Orbit Coupling at Surfaces and Interfaces
• Strong electronic correlations from Hund's coupling
• Robust Intrinsic Ferromagnetism and Half Semiconductivity in Stable Two-Dimensional Single-Layer Chromium Trihalides
• Neutron tomography of magnetic Majorana fermions in a proximate quantum spin liquid
• Generic spin model for the honeycomb iridates beyond the Kitaev limit
• On the origin of magnetic anisotropy in two dimensional CrI${}_3$
• Crystal and Magnetic Structures in Layered, Transition Metal Dihalides and Trihalides
• Topological chiral magnonic edge mode in a magnonic crystal
• Janus-faced influence of the Hund's rule coupling in strongly correlated materials
• Interplay between Kitaev interaction and single ion anisotropy in ferromagnetic CrI${}_3$ and CrGeTe${}_3$ monolayers
• Topological spin excitations in honeycomb ferromagnet CrI${}_3$
• Magnetic Skyrmion State in Janus Monolayers of Chromium Trihalides Cr(I,X)3
• First-Principles Study of the Honeycomb-Lattice Iridates Na2IrO3 in the Presence of Strong Spin-Orbit Interaction and Electron Correlations
• Fundamental Spin Interactions Underlying the Magnetic Anisotropy in the Kitaev Ferromagnet CrI${}_3$
• Direct observation of 2D magnons in atomically thin CrI${}_3$
• Magnetic Two-Dimensional Chromium Trihalides: A Theoretical Perspective
• Microscopic mechanism for higher-spin Kitaev model
• Calculation of the exchange constants of the Heisenberg model in the plane-wave based methods using the Green's function approach
• Orbitally-resolved ferromagnetism of monolayer CrI${}_3$
• Weak ferromagnetism in antiferromagnets: Fe${}_2$O${}_3$ and La${}_2$CuO${}_4$
• Magnetic Skyrmions in Atomic Thin CrI${}_3$ Monolayer
• Topological magnonics in the two-dimensional van der Waals magnet CrI3
• Magnetic Anisotropy in Spin-3/2 with Heavy Ligand in Honeycomb Mott Insulators: Application to CrI${}_3$
• Magneto-optical response of chromium trihalide monolayers: chemical trends
• Super-Exchange Theory for Polyvalent Anion Magnets
• Electronic Structure and Exchange Interactions of Na${}_2$V${}_3$O${}_7$
• Magnetic exchange interactions in monolayer CrI${}_3$ from many-body wavefunction calculations
• Magnon valley Hall effect in CrI3-based vdW heterostructures
• Analytic theory of Hund's metals: a renormalization group perspective
• Magnon dispersion in bilayers of two-dimensional ferromagnets
• Hubbard-Kanamori model: spectral functions, negative electron compressibility, and susceptibilities
• Observation of Fano resonance in photoluminescence of a two-dimensional magnetic semiconductor

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• Chiral Hinge Magnons in Second-Order Topological Magnon Insulators
• Control of magnetic states and spin interactions in bilayer CrCl${}_3$ with strain and electric fields: an ab initio study
• Tunable topological magnon-polaron states and anomalous Hall phenomena in two-dimensional ferromagnetic insulators
• Topological magnon gap engineering in van der Waals CrI${}_3$ ferromagnets
• Exchange interactions and spin dynamics in the layered honeycomb ferromagnet CrI${}_3$
• Evidence of Kitaev interaction in the monolayer 1T-CrTe${}_2$
• Superexchange and spin-orbit coupling in monolayer and bilayer chromium trihalides
• Delving into the anisotropic interlayer exchange in bilayer CrI${}_3$
• Designing layered 2D skyrmion lattices in moiré magnetic hetero-structures
• Intrinsic Spin Nernst Effect and Chiral Edge Modes in van der Waals Ferromagnetic Insulators: Dzyaloshinskii-Moriya vs. Kitaev Interactions
• Magnonics along the wall in Bimeron Chain Domain Walls
• Local spin-flip transitions induced by magnetic quantum impurities in two-dimensional magnets
• Magnetic domain wall dynamics under external electric field in bilayer CrI${}_3$
• Interlayer superexchange in bilayer chromium trihalides
• Angular-Dependent Thermal Hall Effect in a Honeycomb Magnet: Disentangling Kitaev and Dzyaloshinskii-Moriya Interactions
• Quantized Toroidal Waves on Ferrotoroidal Magnets
• Symmetry-forbidden intraband transitions leading to ultralow Gilbert damping in van der Waals ferromagnets
• Computational Frameworks for Patterned Two-Dimensional Magnetism