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Spontaneous Crystal Thermal Hall Effect in Insulating Altermagnets
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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 $\boldsymbol{\kappa}_\text{H}$ 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 $\boldsymbol{\kappa}_\text{H}$, which can be controlled by the N\'eel 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$_2$.
Forward citations
Cited by 2 Pith papers
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Emergence and Detection of Surface altermagnetism in KV$_2$Se$_2$O
Bulk antiferromagnetic KV2Se2O is predicted to have d-wave altermagnetic surface states and a large surface nonlinear Edelstein effect that explains existing spin-splitting observations.
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Thermal Transport Properties of Magnons on the $\alpha$-T$_3$ Lattice
On the alpha-T3 lattice, magnons form one topologically trivial and three Chern insulator phases, with a negative thermal Hall conductivity whose magnitude changes at the phase boundaries.
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