Exact solutions of nonreciprocal Su-Schrieffer-Heeger model with domain walls
Abstract
We investigate domain-wall physics in a non-Hermitian Su-Schrieffer-Heeger model featuring the non-Hermitian skin effect and its higher-dimensional extensions, focusing on analytical eigenstate solutions under open boundary conditions. By gluing two Su-Schrieffer-Heeger chains with inverted coupling ratios together, we identify two distinct interface geometries, and derive closed-form quantization conditions for the complex wave number and wave functions using symmetry-based ansatzes. Besides conventional skin modes and topological zero modes, the domain walls generate additional localized states at finite energy that detach from the bulk open-boundary-condition continuum. We validate the analytical results by exact diagonalization, and further generalize the interface construction to a two-dimensional Lieb lattice, where competing nonreciprocities produce tunable funneling regimes towards codimension-one and codimension-two interfaces.
Related
- 𝒫𝒯 and anti-𝒫𝒯 phase transitions in a trimerized Su--Schrieffer--Heeger chain with nonreciprocal Rashba spin-orbit coupling
- Anderson noise avalanche and sudden coherence destruction in photonic Su-Schrieffer-Heeger chains with random off-diagonal disorder
- Topologically protected bound states in the continuum in the Su-Schrieffer-Heeger chain
- Antiresonances of Wannier-Stark ladders in Su-Schrieffer-Heeger lattices
- Transport properties and topological phase transitions for a Creutz-Su-Schrieffer-Heeger ladder
BibTeX
@misc{wang2026exact,
title = {{Exact solutions of nonreciprocal Su-Schrieffer-Heeger model with domain walls}},
author = {Tong Wang and Mengjie Yang and Flore K. Kunst},
howpublished = {arXiv},
year = {2026},
month = sep,
doi = {10.48550/arxiv.2609.17378},
eprint = {2609.17378},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2609.17378},
note = {CC BY-NC-SA 4.0},
}
RIS
TY - UNPB
TI - Exact solutions of nonreciprocal Su-Schrieffer-Heeger model with domain walls
AU - Tong Wang
AU - Mengjie Yang
AU - Flore K. Kunst
PY - 2026
DA - 2026/09/15
PB - arXiv
DO - 10.48550/arxiv.2609.17378
UR - https://arxiv.org/abs/2609.17378
AB - We investigate domain-wall physics in a non-Hermitian Su-Schrieffer-Heeger model featuring the non-Hermitian skin effect and its higher-dimensional extensions, focusing on analytical eigenstate solutions under open boundary conditions. By gluing two Su-Schrieffer-Heeger chains with inverted coupling ratios together, we identify two distinct interface geometries, and derive closed-form quantization conditions for the complex wave number and wave functions using symmetry-based ansatzes. Besides conventional skin modes and topological zero modes, the domain walls generate additional localized states at finite energy that detach from the bulk open-boundary-condition continuum. We validate the analytical results by exact diagonalization, and further generalize the interface construction to a two-dimensional Lieb lattice, where competing nonreciprocities produce tunable funneling regimes towards codimension-one and codimension-two interfaces.
ER -