Magnonic Floquet Quantum Spin Hall Insulator in Bilayer Collinear Antiferromagnets

Abstract

We study irradiated two-dimensional insulating bilayer honeycomb ferromagnets and antiferromagnets coupled antiferromagnetically with a zero net magnetization. The former is realized in the recently synthesized bilayer honeycomb chromium triiodide CrI${}_3$. In both systems, we show that circularly-polarized electric field breaks time-reversal symmetry and induces a dynamical Dzyaloshinskii-Moriya interaction in each honeycomb layer. However, the resulting bilayer antiferromagnetic system still preserves a combination of time-reversal and space-inversion ($\mathcal{P}\mathcal{T}$) symmetry. We show that the magnon topology of the bilayer antiferromagnetic system is characterized by a ${\mathbb{Z}}_2$ Floquet topological invariant. Therefore, the system realizes a magnonic Floquet quantum spin Hall insulator with spin filtered magnon edge states. This leads to a non-vanishing Floquet magnon spin Nernst effect, whereas the Floquet magnon thermal Hall effect vanishes due to $\mathcal{P}\mathcal{T}$ symmetry. We study the rich ${\mathbb{Z}}_2$ Floquet topological magnon phase diagram of the system as a function of the light amplitudes and polarizations. We further discuss the great impact of the results on future experimental realizations.

arXiv comment11 pages, 4 figures. Revised version with a slight modification in the title. To be published in Scientific Reports

References in corpus (59)

• Quantum Spin Hall Effect in Graphene
• Quantum Spin Hall Effect and Topological Phase Transition in HgTe Quantum Wells
• $Z_2$ Topological Order and the Quantum Spin Hall Effect
• Layer-dependent Ferromagnetism in a van der Waals Crystal down to the Monolayer Limit
• Photonic Floquet Topological Insulators
• Experimental realisation of the topological Haldane model
• Floquet Topological Insulator in Semiconductor Quantum Wells
• Photovoltaic Hall effect in graphene
• Chern Numbers in Discretized Brillouin Zone: Efficient Method of Computing (Spin) Hall Conductances
• Universal High-Frequency Behavior of Periodically Driven Systems: from Dynamical Stabilization to Floquet Engineering
• Observation of Floquet-Bloch states on the surface of a topological insulator
• Transport properties of non-equilibrium systems under the application of light: Photo-induced quantum Hall insulators without Landau levels
• Probing magnetism in 2D van der Waals crystalline insulators via electron tunneling
• The building blocks of magnonics
• Electric-field switching of two-dimensional van der Waals magnets
• High-frequency approximation for periodically driven quantum systems from a Floquet-space perspective
• Theory of Thermal Hall Effect in Quantum Magnets
• Photo-Induced Topological Phase Transition and a Single Dirac-Cone State in Silicene
• Floquet topological insulators
• Experimental reconstruction of the Berry curvature in a topological Bloch band
• Theoretical prediction of rotating magnon wavepacket in ferromagnets
• Perspective: Ultrafast magnetism and THz spintronics
• Creating stable Floquet-Weyl semimetals by laser-driving of 3D Dirac materials
• Periodic Table for Floquet Topological Insulators
• Topological spin excitations in honeycomb ferromagnet CrI${}_3$
• Photoinduced transition between conventional and topological insulators in two-dimensional electronic systems
• Spin Nernst Effect of Magnons in Collinear Antiferromagnets
• Rotational motion of magnon and thermal Hall effect
• Floquet Fractional Chern Insulator in Doped Graphene
• Tuning laser-induced bandgaps in graphene
• Tunable Weyl Points in Periodically Driven Nodal Line Semimetals
• Magnetization transport and quantized spin conductance
• Merging of Dirac points and Floquet topological transitions in AC driven graphene
• Topological invariants of Floquet systems: General formulation, special properties, and Floquet topological defects
• When chiral photons meet chiral fermions - Photoinduced anomalous Hall effects in Weyl semimetals
• Floquet Weyl Semimetal Induced by Off-Resonant Light
• Magnonic topological insulators in antiferromagnets
• Signature of magnon Nernst effect in an antiferromagnetic insulator
• Thermal Hall Effect of Spins in a Paramagnet
• Electric Control of Spin Currents and Spin-Wave Logic
• Electric-field coupling to spin waves in a centrosymmetric ferrite
• Magnonic quantum Hall effect and Wiedemann-Franz law
• Chiral pumping effect induced by rotating electric fields
• Theory of photoinduced Floquet Weyl semimetal phases
• Photoinduced Chern insulating states in semi-Dirac materials
• Spin torque and Nernst effects in Dzyaloshinskii-Moriya ferromagnets
• Chiral anomaly of Weyl magnons in stacked honeycomb ferromagnets
• ${\mathbb{Z}}_2$ Topological Invariant for Magnon Spin Hall Systems
• Dynamical and Reversible Control of Topological Spin Textures
• Topological magnon bands in the zigzag and stripy phases of antiferromagnetic honeycomb lattice
• Floquet Topological Magnons
• Quadratic band touching points and flat bands in two-dimensional topological Floquet systems
• Floquet Engineering of Haldane Chern Insulators and Chiral bosonic phase transitions
• Photoinduced Topological Phase Transitions in Topological Magnon Insulators
• Spin Nernst effect in the Paramagnetic Regime of An Antiferromagnetic Insulator
• The Topological AC and HMW Effects, and the Dual Current in 2+1 Dimensions
• Topological quantum paramagnet in a quantum spin ladder
• Floquet Weyl Magnons
• Photo-induced Entanglement in a Magnonic Floquet Topological Insulator

Cited by in corpus (8)

• Honeycomb Layered Oxides: Structure, Energy Storage, Transport, Topology and Relevant Insights
• Topological magnetic excitations
• Magnon magic angles and tunable Hall conductivity in 2D twisted ferromagnetic bilayers
• Light-induced topological magnons in two-dimensional van der Waals magnets
• Valley-polarized domain wall magnons in 2D ferromagnetic bilayers
• Towards an experimental proof of the magnonic Aharonov$-$Casher effect
• Theoretical realization of rich magnon topology by symmetry-breaking in honeycomb bilayer ferromagnets
• Laser induced enhanced coupling between photons and squeezed magnons in antiferromagnets