Valley-Hall interface modes persist under a 2π/3 bend for all non-vanishing group-velocity frequencies in the bulk gap except a finite exceptional set.
A Mathematical Theory of Integer Quantum Hall Effect in Photonics
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A resolvent expansion for a 3D Hamiltonian yields approximate quasiperiodic 2D edge states for incommensurate line defects in honeycomb Schrödinger operators, with energies dense in the bulk spectral gap.
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Robustness of Valley-Hall Interface Modes Against Sharp Bending
Valley-Hall interface modes persist under a 2π/3 bend for all non-vanishing group-velocity frequencies in the bulk gap except a finite exceptional set.
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Continuum honeycomb Schr\"odinger operators with incommensurate line defects
A resolvent expansion for a 3D Hamiltonian yields approximate quasiperiodic 2D edge states for incommensurate line defects in honeycomb Schrödinger operators, with energies dense in the bulk spectral gap.