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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A new Zitterbewegung velocity is identified from the quantum Liouville equation using out-of-phase components of the quantum geometric tensor; it resolves the position-shift paradox upon integration of semiclassical equations and connects to the minimum conductivity of massless Dirac fermions.
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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.