Spontaneous Crystal Thermal Hall Effect in Insulating Altermagnets

Abstract

We show that magnetic insulators with a collinear and compensated order can exhibit a thermal Hall effect even at zero magnetic field if they have altermagnetic symmetries. We predict a finite thermal Hall conductivity vector ${\mathbf{\kappa }}_{\text{H}}$ for a rutile-inspired effective spin model with Dzyaloshinskii-Moriya interaction. Within the linear spin-wave theory, we identify two magnon branches that carry identical Berry curvature and give rise to a finite ${\mathbf{\kappa }}_{\text{H}}$, which can be controlled by the Néel vector orientation and by strain. The thermal Hall response is further complemented with a spin Nernst response to contrast spin and heat transport in altermagnetic insulators with those in ferromagnets and antiferromagnets. Our results establish the crystal thermal Hall effect of magnons and we discuss material candidates for experimental realization, such as MnF${}_2$, CoF${}_2$, and NiF${}_2$.

arXiv comment23 pages

References in corpus (60)

• Anyons in an exactly solved model and beyond
• Antiferromagnetic spintronics
• Antiferromagnetic spintronics
• Quantum Spin Liquids
• Altermagnetism: spin-momentum locked phase protected by non-relativistic symmetries
• Crystal Hall effect in Collinear Antiferromagnets
• Majorana quantization and half-integer thermal quantum Hall effect in a Kitaev spin liquid
• Observation of the Magnon Hall Effect
• Observation of the Anomalous Hall Effect in a Collinear Antiferromagnet
• Quantum magnonics: when magnon spintronics meets quantum information science
• Theory of Thermal Hall Effect in Quantum Magnets
• Efficient Electrical Spin-Splitter Based on Non-Relativistic Collinear Antiferromagnetism
• Theoretical prediction of rotating magnon wavepacket in ferromagnets
• Broken Kramers' degeneracy in altermagnetic MnTe
• Topological chiral magnonic edge mode in a magnonic crystal
• Giant and tunneling magnetoresistance effects from anisotropic and valley-dependent spin-momentum interactions in antiferromagnets
• Spin current generation in organic antiferromagnets
• Direct observation of altermagnetic band splitting in CrSb thin films
• Topological Magnon Insulator in Insulating Ferromagnet
• Nonlinear Hall Effects
• Prediction of unconventional magnetism in doped FeSb2
• TB2J: a python package for computing magnetic interaction parameters
• Spin Nernst Effect of Magnons in Collinear Antiferromagnets
• Spontaneous Magnon Decays
• The thermal Hall effect of spin excitations in a Kagome magnet
• Rotational motion of magnon and thermal Hall effect
• Crystal Thermal Transport in Altermagnetic RuO2
• Magnon spin Nernst effect in antiferromagnets
• Symmetry-imposed shape of linear response tensors
• Unusual thermal Hall effect in a Kitaev spin liquid candidate $\alpha$-RuCl${}_3$
• Effect of lattice geometry on magnon Hall effect in ferromagnetic insulators
• Giant thermal Hall conductivity from neutral excitations in the pseudogap phase of cuprates
• Theory of Phonon Hall Effect in Paramagnetic Dielectrics
• Hall effect of triplons in a dimerized quantum magnet
• The planar thermal Hall conductivity in the Kitaev magnet α-RuCl3
• Phonon thermal Hall effect in strontium titanate
• Theory of nonlinear Hall effects: renewed semiclassics from quantum kinetics
• Topological Triplon Modes and Bound States in a Shastry-Sutherland Magnet
• Saturation of the anomalous Hall effect at high magnetic fields in altermagnetic RuO2
• Anomalous Hall effect for the phonon heat conductivity in paramagnetic dielectric
• Crystal Hall and crystal magneto-optical effect in thin films of SrRuO${}_3$
• Emergence of nontrivial magnetic excitations in a spin liquid state of kagome volborthite
• Thermal Hall effect and topological edge states in a square lattice antiferromagnet
• Anomalous Thermal Hall Effect in an Insulating van der Waals Magnet VI3
• SU(3) Topology of Magnon-Phonon Hybridization in 2D Antiferromagnets
• Spin Thermal Hall Conductivity of a Kagomé Antiferromagnet
• Enhanced thermal Hall effect in nearly ferroelectric insulators
• Pseudo-Goldstone gaps and order-by-quantum-disorder in frustrated magnets
• Origin of the Phonon Hall Effect in Rare-Earth Garnets
• Thermal Hall effects in quantum magnets
• Large Phonon Thermal Hall Conductivity in a Simple Antiferromagnetic Insulator
• Thermal Hall effect of magnons in collinear antiferromagnetic insulators: signatures of magnetic and topological phase transitions
• Thermal Hall Effects of Spins and Phonons in Kagome Antiferromagnet Cd-Kapellasite
• Phonon Thermal Hall Conductivity from Scattering with Collective Fluctuations
• Thermal Transport for Probing Quantum Materials
• Fluctuation induced piezomagnetism in local moment altermagnets
• Quantum kinetic theory of nonlinear thermal current
• Intrinsic nonlinear thermal Hall transport of magnons: A Quantum kinetic theory approach
• Fundamental Distinction between Intrinsic and Extrinsic Nonlinear Thermal Hall Effects
• Magnon Hall effect in antiferromagnetic lattices

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