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Symmetry-protected interface modes bifurcated from double Dirac cones

by H. Ammari and J. Qiu

(Report number 2026-11)

Abstract
We rigorously prove the existence of interface modes in a sharp interface model, which bifurcate from the double Dirac cone as a consequence of the band inversion induced by super-symmetry breaking. The exact number of interface modes are determined. The proof is based on a discrete version of the layer-potential framework. Moreover, we prove that such interface modes are symmetry-protected against perturbations that respect the reflection symmetry.

Keywords: Interface mode, band inversion, double Dirac cone, symmetry protection, robustness, symmetry breaking, discrete layer potential method

@Techreport{AQ26_1166,
  author = {H. Ammari and J. Qiu},
  title = {Symmetry-protected interface modes bifurcated from double Dirac cones},
  institution = {Seminar for Applied Mathematics, ETH Z{\"u}rich},
  number = {2026-11},
  address = {Switzerland},
  url = {https://www.sam.math.ethz.ch/sam_reports/reports_final/reports2026/2026-11.pdf },
  year = {2026}
}

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