• Accepted Paper

Sublattice-polarized bound state in the continuum in a silicon waveguide array with approximate chiral symmetry

Zhenzhen Liu, Xianghang Zhan, Dongni Chen, Pengcheng Li, and Jun-Jun Xiao

Phys. Rev. A - Accepted 19 October, 2026

DOI: https://doi.org/10.1103/rsqn-bfgl

Abstract

Bound states in the continuum (BICs) that rest on a spatial symmetry or a tuned parameter are usually destroyed by fabrication disorder. In the Su–Schrieffer–Heeger (SSH) chain, chiral symmetry confines the edge state to one sublattice, so a lead on the other sublattice has zero coupling to it. Tight-binding models assume this symmetry is exact; a coupled-waveguide array described by full-wave Maxwell equations breaks it. We test whether the sublattice decoupling survives on a fabricable silicon array. A next-nearest-neighbor hopping and a terminal index offset break chiral symmetry, yet the edge state keeps a weight of order 10−3 on the complementary sublattice and couples to a lead there eleven to thirteen times more weakly than on its own sublattice. In a three-dimensional directional coupler, a probe over the complementary sublattice transmits as it does over a trivial array at every coupling length, while a probe over the mode’s own sublattice exchanges power with the edge state. Gap disorder, which preserves chiral symmetry to leading order, leaves the edge-state index pinned; on-site disorder of the same physical strength moves it 30 times more. The protection therefore covers errors in waveguide placement and spacing; variations of waveguide width or thickness break it.

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