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.
Local profiles for elliptic problems at different scales: defects in, and interfaces between periodic structures
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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.