The chiral anomaly is extended to mixed states via symmetry-charge flow derived algebraically from symmetry and flux-insertion operators, restoring universality for Abelian symmetries in fermionic and bosonic systems.
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Higher-harmonic components of spin-orbit torque in Weyl ferromagnets enable deterministic magnetization reversal without external fields or additional symmetry breaking.
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Anomaly and symmetry-charge flow in mixed states
The chiral anomaly is extended to mixed states via symmetry-charge flow derived algebraically from symmetry and flux-insertion operators, restoring universality for Abelian symmetries in fermionic and bosonic systems.
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Deterministic Switching of Perpendicular Ferromagnets by Higher harmonics of Spin-orbit Torque in Noncentrosymmetric Weyl Semimetals
Higher-harmonic components of spin-orbit torque in Weyl ferromagnets enable deterministic magnetization reversal without external fields or additional symmetry breaking.