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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Dirac quadrupole altermagnets in 2D exhibit a topological orbital piezomagnetic effect from strain altering their quadrupole Dirac points.
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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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Topological piezomagnetic effect in two-dimensional Dirac quadrupole altermagnets
Dirac quadrupole altermagnets in 2D exhibit a topological orbital piezomagnetic effect from strain altering their quadrupole Dirac points.