A scattering theory for time boundaries establishes that the number of topological resonant transmissions equals the jump in bulk topological invariants for all integer Altland-Zirnbauer classes, with dimensional robustness differences.
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Ordinary lattice defects induce mid-gap bound states that distinguish topological insulators from normal insulators and remain robust to weak impurities.
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Time-boundary scattering and topological resonant transmissions
A scattering theory for time boundaries establishes that the number of topological resonant transmissions equals the jump in bulk topological invariants for all integer Altland-Zirnbauer classes, with dimensional robustness differences.
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Ordinary lattice defects as probes of topology
Ordinary lattice defects induce mid-gap bound states that distinguish topological insulators from normal insulators and remain robust to weak impurities.