Establishes bound relations between electronic properties in magnetic crystals, including a new lower bound on susceptibility for Chern insulators and generalization of Chern bounds to three dimensions.
Model for a Quantum Hall Effect without Landau Levels: Condensed-Matter Realization of the ’Parity Anomaly’
6 Pith papers cite this work. Polarity classification is still indexing.
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Proves that for Z2 insulators separated by a curved boundary the interface Z2 edge index equals (bulk Z2 difference times geometric intersection number) mod 2.
Maps Uhlmann dynamics to RC-circuit node voltages via vectorized matrix DE and shows via simulation that the circuit reproduces the phase and topological transition at critical purity.
Quasi-periodic driving of a four-level system creates temporal analogs of quantum spin Hall and higher-order topological insulators, yielding quantized energy exchange rates between drives due to synthetic edge or corner modes.
Derives a generic chiral anomaly formula incorporating multiple Feynman diagrams, from which abelian, singlet, consistent, and covariant forms follow, with topological discussion and FeynCalc code.
Extending the Haldane model to the dice lattice induces flat-band topological transitions at φ^c = π/6 and 5π/6, with flux-dependent Chern numbers and quantized Hall plateaus.
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The Polymorphic Chiral Anomaly
Derives a generic chiral anomaly formula incorporating multiple Feynman diagrams, from which abelian, singlet, consistent, and covariant forms follow, with topological discussion and FeynCalc code.