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

  • Yonatan Betancur-Ocampo
  • Guillermo Monsivais
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Abstract

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.

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Cite

BibTeXRIS
BibTeX
@misc{betancurocampo2026antiresonances,
  title = {{Antiresonances of Wannier-Stark ladders in Su-Schrieffer-Heeger lattices}},
  author = {Yonatan Betancur-Ocampo and Guillermo Monsivais},
  howpublished = {arXiv},
  year = {2026},
  month = sep,
  doi = {10.48550/arxiv.2609.01363},
  eprint = {2609.01363},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2609.01363},
}
RIS
TY  - UNPB
TI  - Antiresonances of Wannier-Stark ladders in Su-Schrieffer-Heeger lattices
AU  - Yonatan Betancur-Ocampo
AU  - Guillermo Monsivais
PY  - 2026
DA  - 2026/09/01
PB  - arXiv
DO  - 10.48550/arxiv.2609.01363
UR  - https://arxiv.org/abs/2609.01363
AB  - 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.
ER  -