A new flavoured lattice Schwinger model preserves exact axial symmetry and realizes the chiral anomaly on the lattice for a single flavour via helical edge states in a topological insulator.
Z 2 Topological Order and the Quantum Spin Hall Effect
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Introduces spinor pairing orders with half-integer monopole charges from odd Chern number differences between paired Fermi surfaces, shown in tight-binding models with single gap nodes and fractional Mermin-Ho relations.
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.
Demonstrates 2D topological phases and propagating edge states in space-time photonic crystals, including an exponentially growing edge state along the space-time interface.
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.
citing papers explorer
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Flavoured Lattice Schwinger Model with Chiral Anomaly
A new flavoured lattice Schwinger model preserves exact axial symmetry and realizes the chiral anomaly on the lattice for a single flavour via helical edge states in a topological insulator.
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Berry Phase Enforced Spinor Pairing Order
Introduces spinor pairing orders with half-integer monopole charges from odd Chern number differences between paired Fermi surfaces, shown in tight-binding models with single gap nodes and fractional Mermin-Ho relations.
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Geometric bulk-edge correspondence for $\mathbb{Z}_2$-topological insulators
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.
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Electrical-Circuit Simulation of the Uhlmann Phase
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.
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2D Topological Edge States in Periodic Space-Time Interfaces
Demonstrates 2D topological phases and propagating edge states in space-time photonic crystals, including an exponentially growing edge state along the space-time interface.
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Topological energy pumping in a quasi-periodically driven four-level system
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.