Antiferromagnets with multiple magnetic sublattices host non-Abelian SU(N) gauge fields in magnon bands that prevent Berry curvature cancellation and enable a robust magnon thermal Hall response.
Theory of Intrinsic Phonon Thermal Hall Effect in $\alpha$-RuCl$_3$
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abstract
We apply a recently developed first-principles based approach for treating generic spin-phonon couplings in materials with strong spin-orbit coupling to study $\alpha$-RuCl$_3$. Of particular focus is the potential for this material to exhibit a phonon thermal Hall effect induced by spin-phonon interactions. We find that spin-orbit coupling significantly enriches the form of these interactions, and imbues them with chirality that is conducive to generating finite phonon Berry curvatures. We show that this leads to a phonon thermal Hall effect that qualitatively reproduces the measured field dependence of $\kappa_{xy}$ without requiring a field-induced spin liquid.
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UNVERDICTED 2representative citing papers
Phonon Hall viscosity in α-RuCl₃, measured via acoustic Faraday effect, accounts for a substantial part of the material's intrinsic thermal Hall conductivity.
citing papers explorer
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Classification of magnon thermal Hall systems based on U(1) to non-Abelian gauge fields
Antiferromagnets with multiple magnetic sublattices host non-Abelian SU(N) gauge fields in magnon bands that prevent Berry curvature cancellation and enable a robust magnon thermal Hall response.
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Phonon Hall Viscosity and the Intrinsic Thermal Hall Effect of $\alpha$-RuCl$_3$
Phonon Hall viscosity in α-RuCl₃, measured via acoustic Faraday effect, accounts for a substantial part of the material's intrinsic thermal Hall conductivity.