Antiresonances of Wannier-Stark ladders in Su-Schrieffer-Heeger lattices

We demonstrate that Wannier-Stark ladders (WSLs) in one-dimensional Su-Schrieffer-Heeger (SSH) chains manifest as antiresonance signatures in the electron transmission. We study the quantum transport in the SSH chain in the presence of a periodic potential profile plus a uniform electric field. By employing the global matrix method with non-trivial matching conditions, we find that these WSL antiresonances correspond to states that are exponentially localized at the potential's incident boundary. These findings provide a robust, unified framework for identifying WSLs across diverse scales, ranging from electronic transport in trans-polyacetylene to classical-wave analogs in phononic crystals and surface water waves.